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-rw-r--r--synapse/api/constants.py1
-rw-r--r--synapse/api/errors.py8
-rw-r--r--synapse/app/_base.py2
-rw-r--r--synapse/app/generic_worker.py8
-rw-r--r--synapse/config/experimental.py3
-rw-r--r--synapse/config/ratelimiting.py11
-rw-r--r--synapse/config/registration.py15
-rw-r--r--synapse/config/server.py15
-rw-r--r--synapse/events/presence_router.py192
-rw-r--r--synapse/events/utils.py5
-rw-r--r--synapse/events/validator.py77
-rw-r--r--synapse/federation/federation_client.py113
-rw-r--r--synapse/federation/federation_server.py9
-rw-r--r--synapse/handlers/auth.py28
-rw-r--r--synapse/handlers/federation.py1927
-rw-r--r--synapse/handlers/federation_event.py1825
-rw-r--r--synapse/handlers/initial_sync.py2
-rw-r--r--synapse/handlers/presence.py5
-rw-r--r--synapse/handlers/register.py18
-rw-r--r--synapse/handlers/room_member.py17
-rw-r--r--synapse/handlers/room_summary.py76
-rw-r--r--synapse/handlers/sso.py2
-rw-r--r--synapse/handlers/sync.py198
-rw-r--r--synapse/handlers/ui_auth/__init__.py5
-rw-r--r--synapse/handlers/ui_auth/checkers.py75
-rw-r--r--synapse/http/additional_resource.py13
-rw-r--r--synapse/http/federation/srv_resolver.py45
-rw-r--r--synapse/http/proxyagent.py4
-rw-r--r--synapse/module_api/__init__.py10
-rw-r--r--synapse/python_dependencies.py3
-rw-r--r--synapse/replication/http/federation.py4
-rw-r--r--synapse/res/templates/recaptcha.html3
-rw-r--r--synapse/res/templates/registration_token.html23
-rw-r--r--synapse/res/templates/terms.html3
-rw-r--r--synapse/rest/admin/__init__.py17
-rw-r--r--synapse/rest/admin/purge_room_servlet.py58
-rw-r--r--synapse/rest/admin/registration_tokens.py321
-rw-r--r--synapse/rest/admin/rooms.py35
-rw-r--r--synapse/rest/admin/server_notice_servlet.py19
-rw-r--r--synapse/rest/admin/users.py55
-rw-r--r--synapse/rest/client/account_validity.py39
-rw-r--r--synapse/rest/client/auth.py74
-rw-r--r--synapse/rest/client/capabilities.py14
-rw-r--r--synapse/rest/client/devices.py48
-rw-r--r--synapse/rest/client/directory.py78
-rw-r--r--synapse/rest/client/events.py38
-rw-r--r--synapse/rest/client/filter.py26
-rw-r--r--synapse/rest/client/groups.py3
-rw-r--r--synapse/rest/client/initial_sync.py16
-rw-r--r--synapse/rest/client/keys.py71
-rw-r--r--synapse/rest/client/knock.py3
-rw-r--r--synapse/rest/client/login.py48
-rw-r--r--synapse/rest/client/logout.py17
-rw-r--r--synapse/rest/client/notifications.py13
-rw-r--r--synapse/rest/client/openid.py16
-rw-r--r--synapse/rest/client/password_policy.py18
-rw-r--r--synapse/rest/client/presence.py24
-rw-r--r--synapse/rest/client/profile.py37
-rw-r--r--synapse/rest/client/pusher.py22
-rw-r--r--synapse/rest/client/read_marker.py15
-rw-r--r--synapse/rest/client/register.py85
-rw-r--r--synapse/rest/client/room_upgrade_rest_servlet.py18
-rw-r--r--synapse/rest/client/shared_rooms.py16
-rw-r--r--synapse/rest/client/sync.py132
-rw-r--r--synapse/rest/client/tags.py25
-rw-r--r--synapse/rest/client/thirdparty.py36
-rw-r--r--synapse/rest/client/tokenrefresh.py14
-rw-r--r--synapse/rest/client/user_directory.py17
-rw-r--r--synapse/rest/client/versions.py14
-rw-r--r--synapse/rest/client/voip.py13
-rw-r--r--synapse/rest/media/v1/thumbnail_resource.py26
-rw-r--r--synapse/server.py5
-rw-r--r--synapse/server_notices/server_notices_manager.py17
-rw-r--r--synapse/static/client/register/style.css6
-rw-r--r--synapse/storage/databases/main/__init__.py2
-rw-r--r--synapse/storage/databases/main/events_worker.py29
-rw-r--r--synapse/storage/databases/main/purge_events.py1
-rw-r--r--synapse/storage/databases/main/pusher.py72
-rw-r--r--synapse/storage/databases/main/registration.py341
-rw-r--r--synapse/storage/databases/main/roommember.py16
-rw-r--r--synapse/storage/databases/main/session.py145
-rw-r--r--synapse/storage/databases/main/ui_auth.py43
-rw-r--r--synapse/storage/databases/main/user_directory.py2
-rw-r--r--synapse/storage/roommember.py44
-rw-r--r--synapse/storage/schema/__init__.py2
-rw-r--r--synapse/storage/schema/main/delta/62/02session_store.sql23
-rw-r--r--synapse/storage/schema/main/delta/63/01create_registration_tokens.sql23
-rw-r--r--synapse/storage/schema/main/delta/63/02delete_unlinked_email_pushers.sql20
88 files changed, 4372 insertions, 2685 deletions
diff --git a/synapse/api/constants.py b/synapse/api/constants.py
index e0e24fddac..829061c870 100644
--- a/synapse/api/constants.py
+++ b/synapse/api/constants.py
@@ -79,6 +79,7 @@ class LoginType:
     TERMS = "m.login.terms"
     SSO = "m.login.sso"
     DUMMY = "m.login.dummy"
+    REGISTRATION_TOKEN = "org.matrix.msc3231.login.registration_token"
 
 
 # This is used in the `type` parameter for /register when called by
diff --git a/synapse/api/errors.py b/synapse/api/errors.py
index dc662bca83..9480f448d7 100644
--- a/synapse/api/errors.py
+++ b/synapse/api/errors.py
@@ -147,6 +147,14 @@ class SynapseError(CodeMessageException):
         return cs_error(self.msg, self.errcode)
 
 
+class InvalidAPICallError(SynapseError):
+    """You called an existing API endpoint, but fed that endpoint
+    invalid or incomplete data."""
+
+    def __init__(self, msg: str):
+        super().__init__(HTTPStatus.BAD_REQUEST, msg, Codes.BAD_JSON)
+
+
 class ProxiedRequestError(SynapseError):
     """An error from a general matrix endpoint, eg. from a proxied Matrix API call.
 
diff --git a/synapse/app/_base.py b/synapse/app/_base.py
index 50a02f51f5..39e28aff9f 100644
--- a/synapse/app/_base.py
+++ b/synapse/app/_base.py
@@ -37,6 +37,7 @@ from synapse.app import check_bind_error
 from synapse.app.phone_stats_home import start_phone_stats_home
 from synapse.config.homeserver import HomeServerConfig
 from synapse.crypto import context_factory
+from synapse.events.presence_router import load_legacy_presence_router
 from synapse.events.spamcheck import load_legacy_spam_checkers
 from synapse.events.third_party_rules import load_legacy_third_party_event_rules
 from synapse.logging.context import PreserveLoggingContext
@@ -370,6 +371,7 @@ async def start(hs: "HomeServer"):
 
     load_legacy_spam_checkers(hs)
     load_legacy_third_party_event_rules(hs)
+    load_legacy_presence_router(hs)
 
     # If we've configured an expiry time for caches, start the background job now.
     setup_expire_lru_cache_entries(hs)
diff --git a/synapse/app/generic_worker.py b/synapse/app/generic_worker.py
index 845e6a8220..9b71dd75e6 100644
--- a/synapse/app/generic_worker.py
+++ b/synapse/app/generic_worker.py
@@ -95,7 +95,10 @@ from synapse.rest.client.profile import (
     ProfileRestServlet,
 )
 from synapse.rest.client.push_rule import PushRuleRestServlet
-from synapse.rest.client.register import RegisterRestServlet
+from synapse.rest.client.register import (
+    RegisterRestServlet,
+    RegistrationTokenValidityRestServlet,
+)
 from synapse.rest.client.sendtodevice import SendToDeviceRestServlet
 from synapse.rest.client.versions import VersionsRestServlet
 from synapse.rest.client.voip import VoipRestServlet
@@ -115,6 +118,7 @@ from synapse.storage.databases.main.monthly_active_users import (
 from synapse.storage.databases.main.presence import PresenceStore
 from synapse.storage.databases.main.room import RoomWorkerStore
 from synapse.storage.databases.main.search import SearchStore
+from synapse.storage.databases.main.session import SessionStore
 from synapse.storage.databases.main.stats import StatsStore
 from synapse.storage.databases.main.transactions import TransactionWorkerStore
 from synapse.storage.databases.main.ui_auth import UIAuthWorkerStore
@@ -250,6 +254,7 @@ class GenericWorkerSlavedStore(
     SearchStore,
     TransactionWorkerStore,
     LockStore,
+    SessionStore,
     BaseSlavedStore,
 ):
     pass
@@ -279,6 +284,7 @@ class GenericWorkerServer(HomeServer):
                     resource = JsonResource(self, canonical_json=False)
 
                     RegisterRestServlet(self).register(resource)
+                    RegistrationTokenValidityRestServlet(self).register(resource)
                     login.register_servlets(self, resource)
                     ThreepidRestServlet(self).register(resource)
                     DevicesRestServlet(self).register(resource)
diff --git a/synapse/config/experimental.py b/synapse/config/experimental.py
index 907df9591a..95deda11a5 100644
--- a/synapse/config/experimental.py
+++ b/synapse/config/experimental.py
@@ -39,5 +39,8 @@ class ExperimentalConfig(Config):
         # MSC3244 (room version capabilities)
         self.msc3244_enabled: bool = experimental.get("msc3244_enabled", True)
 
+        # MSC3283 (set displayname, avatar_url and change 3pid capabilities)
+        self.msc3283_enabled: bool = experimental.get("msc3283_enabled", False)
+
         # MSC3266 (room summary api)
         self.msc3266_enabled: bool = experimental.get("msc3266_enabled", False)
diff --git a/synapse/config/ratelimiting.py b/synapse/config/ratelimiting.py
index 7a8d5851c4..f856327bd8 100644
--- a/synapse/config/ratelimiting.py
+++ b/synapse/config/ratelimiting.py
@@ -79,6 +79,11 @@ class RatelimitConfig(Config):
 
         self.rc_registration = RateLimitConfig(config.get("rc_registration", {}))
 
+        self.rc_registration_token_validity = RateLimitConfig(
+            config.get("rc_registration_token_validity", {}),
+            defaults={"per_second": 0.1, "burst_count": 5},
+        )
+
         rc_login_config = config.get("rc_login", {})
         self.rc_login_address = RateLimitConfig(rc_login_config.get("address", {}))
         self.rc_login_account = RateLimitConfig(rc_login_config.get("account", {}))
@@ -143,6 +148,8 @@ class RatelimitConfig(Config):
         #     is using
         #   - one for registration that ratelimits registration requests based on the
         #     client's IP address.
+        #   - one for checking the validity of registration tokens that ratelimits
+        #     requests based on the client's IP address.
         #   - one for login that ratelimits login requests based on the client's IP
         #     address.
         #   - one for login that ratelimits login requests based on the account the
@@ -171,6 +178,10 @@ class RatelimitConfig(Config):
         #  per_second: 0.17
         #  burst_count: 3
         #
+        #rc_registration_token_validity:
+        #  per_second: 0.1
+        #  burst_count: 5
+        #
         #rc_login:
         #  address:
         #    per_second: 0.17
diff --git a/synapse/config/registration.py b/synapse/config/registration.py
index 0ad919b139..7cffdacfa5 100644
--- a/synapse/config/registration.py
+++ b/synapse/config/registration.py
@@ -33,6 +33,9 @@ class RegistrationConfig(Config):
         self.registrations_require_3pid = config.get("registrations_require_3pid", [])
         self.allowed_local_3pids = config.get("allowed_local_3pids", [])
         self.enable_3pid_lookup = config.get("enable_3pid_lookup", True)
+        self.registration_requires_token = config.get(
+            "registration_requires_token", False
+        )
         self.registration_shared_secret = config.get("registration_shared_secret")
 
         self.bcrypt_rounds = config.get("bcrypt_rounds", 12)
@@ -140,6 +143,9 @@ class RegistrationConfig(Config):
                 "mechanism by removing the `access_token_lifetime` option."
             )
 
+        # The fallback template used for authenticating using a registration token
+        self.registration_token_template = self.read_template("registration_token.html")
+
         # The success template used during fallback auth.
         self.fallback_success_template = self.read_template("auth_success.html")
 
@@ -199,6 +205,15 @@ class RegistrationConfig(Config):
         #
         #enable_3pid_lookup: true
 
+        # Require users to submit a token during registration.
+        # Tokens can be managed using the admin API:
+        # https://matrix-org.github.io/synapse/latest/usage/administration/admin_api/registration_tokens.html
+        # Note that `enable_registration` must be set to `true`.
+        # Disabling this option will not delete any tokens previously generated.
+        # Defaults to false. Uncomment the following to require tokens:
+        #
+        #registration_requires_token: true
+
         # If set, allows registration of standard or admin accounts by anyone who
         # has the shared secret, even if registration is otherwise disabled.
         #
diff --git a/synapse/config/server.py b/synapse/config/server.py
index 8494795919..d2c900f50c 100644
--- a/synapse/config/server.py
+++ b/synapse/config/server.py
@@ -248,6 +248,7 @@ class ServerConfig(Config):
             self.use_presence = config.get("use_presence", True)
 
         # Custom presence router module
+        # This is the legacy way of configuring it (the config should now be put in the modules section)
         self.presence_router_module_class = None
         self.presence_router_config = None
         presence_router_config = presence_config.get("presence_router")
@@ -870,20 +871,6 @@ class ServerConfig(Config):
           #
           #enabled: false
 
-          # Presence routers are third-party modules that can specify additional logic
-          # to where presence updates from users are routed.
-          #
-          presence_router:
-            # The custom module's class. Uncomment to use a custom presence router module.
-            #
-            #module: "my_custom_router.PresenceRouter"
-
-            # Configuration options of the custom module. Refer to your module's
-            # documentation for available options.
-            #
-            #config:
-            #  example_option: 'something'
-
         # Whether to require authentication to retrieve profile data (avatars,
         # display names) of other users through the client API. Defaults to
         # 'false'. Note that profile data is also available via the federation
diff --git a/synapse/events/presence_router.py b/synapse/events/presence_router.py
index 6c37c8a7a4..eb4556cdc1 100644
--- a/synapse/events/presence_router.py
+++ b/synapse/events/presence_router.py
@@ -11,45 +11,115 @@
 # WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
 # See the License for the specific language governing permissions and
 # limitations under the License.
-
-from typing import TYPE_CHECKING, Dict, Iterable, Set, Union
+import logging
+from typing import (
+    TYPE_CHECKING,
+    Awaitable,
+    Callable,
+    Dict,
+    Iterable,
+    List,
+    Optional,
+    Set,
+    Union,
+)
 
 from synapse.api.presence import UserPresenceState
+from synapse.util.async_helpers import maybe_awaitable
 
 if TYPE_CHECKING:
     from synapse.server import HomeServer
 
+GET_USERS_FOR_STATES_CALLBACK = Callable[
+    [Iterable[UserPresenceState]], Awaitable[Dict[str, Set[UserPresenceState]]]
+]
+GET_INTERESTED_USERS_CALLBACK = Callable[
+    [str], Awaitable[Union[Set[str], "PresenceRouter.ALL_USERS"]]
+]
+
+logger = logging.getLogger(__name__)
+
+
+def load_legacy_presence_router(hs: "HomeServer"):
+    """Wrapper that loads a presence router module configured using the old
+    configuration, and registers the hooks they implement.
+    """
+
+    if hs.config.presence_router_module_class is None:
+        return
+
+    module = hs.config.presence_router_module_class
+    config = hs.config.presence_router_config
+    api = hs.get_module_api()
+
+    presence_router = module(config=config, module_api=api)
+
+    # The known hooks. If a module implements a method which name appears in this set,
+    # we'll want to register it.
+    presence_router_methods = {
+        "get_users_for_states",
+        "get_interested_users",
+    }
+
+    # All methods that the module provides should be async, but this wasn't enforced
+    # in the old module system, so we wrap them if needed
+    def async_wrapper(f: Optional[Callable]) -> Optional[Callable[..., Awaitable]]:
+        # f might be None if the callback isn't implemented by the module. In this
+        # case we don't want to register a callback at all so we return None.
+        if f is None:
+            return None
+
+        def run(*args, **kwargs):
+            # mypy doesn't do well across function boundaries so we need to tell it
+            # f is definitely not None.
+            assert f is not None
+
+            return maybe_awaitable(f(*args, **kwargs))
+
+        return run
+
+    # Register the hooks through the module API.
+    hooks = {
+        hook: async_wrapper(getattr(presence_router, hook, None))
+        for hook in presence_router_methods
+    }
+
+    api.register_presence_router_callbacks(**hooks)
+
 
 class PresenceRouter:
     """
     A module that the homeserver will call upon to help route user presence updates to
-    additional destinations. If a custom presence router is configured, calls will be
-    passed to that instead.
+    additional destinations.
     """
 
     ALL_USERS = "ALL"
 
     def __init__(self, hs: "HomeServer"):
-        self.custom_presence_router = None
+        # Initially there are no callbacks
+        self._get_users_for_states_callbacks: List[GET_USERS_FOR_STATES_CALLBACK] = []
+        self._get_interested_users_callbacks: List[GET_INTERESTED_USERS_CALLBACK] = []
 
-        # Check whether a custom presence router module has been configured
-        if hs.config.presence_router_module_class:
-            # Initialise the module
-            self.custom_presence_router = hs.config.presence_router_module_class(
-                config=hs.config.presence_router_config, module_api=hs.get_module_api()
+    def register_presence_router_callbacks(
+        self,
+        get_users_for_states: Optional[GET_USERS_FOR_STATES_CALLBACK] = None,
+        get_interested_users: Optional[GET_INTERESTED_USERS_CALLBACK] = None,
+    ):
+        # PresenceRouter modules are required to implement both of these methods
+        # or neither of them as they are assumed to act in a complementary manner
+        paired_methods = [get_users_for_states, get_interested_users]
+        if paired_methods.count(None) == 1:
+            raise RuntimeError(
+                "PresenceRouter modules must register neither or both of the paired callbacks: "
+                "[get_users_for_states, get_interested_users]"
             )
 
-            # Ensure the module has implemented the required methods
-            required_methods = ["get_users_for_states", "get_interested_users"]
-            for method_name in required_methods:
-                if not hasattr(self.custom_presence_router, method_name):
-                    raise Exception(
-                        "PresenceRouter module '%s' must implement all required methods: %s"
-                        % (
-                            hs.config.presence_router_module_class.__name__,
-                            ", ".join(required_methods),
-                        )
-                    )
+        # Append the methods provided to the lists of callbacks
+        if get_users_for_states is not None:
+            self._get_users_for_states_callbacks.append(get_users_for_states)
+
+        if get_interested_users is not None:
+            self._get_interested_users_callbacks.append(get_interested_users)
 
     async def get_users_for_states(
         self,
@@ -66,14 +136,40 @@ class PresenceRouter:
           A dictionary of user_id -> set of UserPresenceState, indicating which
           presence updates each user should receive.
         """
-        if self.custom_presence_router is not None:
-            # Ask the custom module
-            return await self.custom_presence_router.get_users_for_states(
-                state_updates=state_updates
-            )
 
-        # Don't include any extra destinations for presence updates
-        return {}
+        # Bail out early if we don't have any callbacks to run.
+        if len(self._get_users_for_states_callbacks) == 0:
+            # Don't include any extra destinations for presence updates
+            return {}
+
+        users_for_states = {}
+        # run all the callbacks for get_users_for_states and combine the results
+        for callback in self._get_users_for_states_callbacks:
+            try:
+                result = await callback(state_updates)
+            except Exception as e:
+                logger.warning("Failed to run module API callback %s: %s", callback, e)
+                continue
+
+            if not isinstance(result, Dict):
+                logger.warning(
+                    "Wrong type returned by module API callback %s: %s, expected Dict",
+                    callback,
+                    result,
+                )
+                continue
+
+            for key, new_entries in result.items():
+                if not isinstance(new_entries, Set):
+                    logger.warning(
+                        "Wrong type returned by module API callback %s: %s, expected Set",
+                        callback,
+                        new_entries,
+                    )
+                    break
+                users_for_states.setdefault(key, set()).update(new_entries)
+
+        return users_for_states
 
     async def get_interested_users(self, user_id: str) -> Union[Set[str], ALL_USERS]:
         """
@@ -92,12 +188,36 @@ class PresenceRouter:
             A set of user IDs to return presence updates for, or ALL_USERS to return all
             known updates.
         """
-        if self.custom_presence_router is not None:
-            # Ask the custom module for interested users
-            return await self.custom_presence_router.get_interested_users(
-                user_id=user_id
-            )
 
-        # A custom presence router is not defined.
-        # Don't report any additional interested users
-        return set()
+        # Bail out early if we don't have any callbacks to run.
+        if len(self._get_interested_users_callbacks) == 0:
+            # Don't report any additional interested users
+            return set()
+
+        interested_users = set()
+        # run all the callbacks for get_interested_users and combine the results
+        for callback in self._get_interested_users_callbacks:
+            try:
+                result = await callback(user_id)
+            except Exception as e:
+                logger.warning("Failed to run module API callback %s: %s", callback, e)
+                continue
+
+            # If one of the callbacks returns ALL_USERS then we can stop calling all
+            # of the other callbacks, since the set of interested_users is already as
+            # large as it can possibly be
+            if result == PresenceRouter.ALL_USERS:
+                return PresenceRouter.ALL_USERS
+
+            if not isinstance(result, Set):
+                logger.warning(
+                    "Wrong type returned by module API callback %s: %s, expected set",
+                    callback,
+                    result,
+                )
+                continue
+
+            # Add the new interested users to the set
+            interested_users.update(result)
+
+        return interested_users
diff --git a/synapse/events/utils.py b/synapse/events/utils.py
index b6da2f60af..738a151cef 100644
--- a/synapse/events/utils.py
+++ b/synapse/events/utils.py
@@ -32,6 +32,9 @@ from . import EventBase
 #       the literal fields "foo\" and "bar" but will instead be treated as "foo\\.bar"
 SPLIT_FIELD_REGEX = re.compile(r"(?<!\\)\.")
 
+CANONICALJSON_MAX_INT = (2 ** 53) - 1
+CANONICALJSON_MIN_INT = -CANONICALJSON_MAX_INT
+
 
 def prune_event(event: EventBase) -> EventBase:
     """Returns a pruned version of the given event, which removes all keys we
@@ -505,7 +508,7 @@ def validate_canonicaljson(value: Any):
     * NaN, Infinity, -Infinity
     """
     if isinstance(value, int):
-        if value <= -(2 ** 53) or 2 ** 53 <= value:
+        if value < CANONICALJSON_MIN_INT or CANONICALJSON_MAX_INT < value:
             raise SynapseError(400, "JSON integer out of range", Codes.BAD_JSON)
 
     elif isinstance(value, float):
diff --git a/synapse/events/validator.py b/synapse/events/validator.py
index fa6987d7cb..33954b4f62 100644
--- a/synapse/events/validator.py
+++ b/synapse/events/validator.py
@@ -11,16 +11,22 @@
 # WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
 # See the License for the specific language governing permissions and
 # limitations under the License.
-
+import collections.abc
 from typing import Union
 
+import jsonschema
+
 from synapse.api.constants import MAX_ALIAS_LENGTH, EventTypes, Membership
 from synapse.api.errors import Codes, SynapseError
 from synapse.api.room_versions import EventFormatVersions
 from synapse.config.homeserver import HomeServerConfig
 from synapse.events import EventBase
 from synapse.events.builder import EventBuilder
-from synapse.events.utils import validate_canonicaljson
+from synapse.events.utils import (
+    CANONICALJSON_MAX_INT,
+    CANONICALJSON_MIN_INT,
+    validate_canonicaljson,
+)
 from synapse.federation.federation_server import server_matches_acl_event
 from synapse.types import EventID, RoomID, UserID
 
@@ -87,6 +93,29 @@ class EventValidator:
                     400, "Can't create an ACL event that denies the local server"
                 )
 
+        if event.type == EventTypes.PowerLevels:
+            try:
+                jsonschema.validate(
+                    instance=event.content,
+                    schema=POWER_LEVELS_SCHEMA,
+                    cls=plValidator,
+                )
+            except jsonschema.ValidationError as e:
+                if e.path:
+                    # example: "users_default": '0' is not of type 'integer'
+                    message = '"' + e.path[-1] + '": ' + e.message  # noqa: B306
+                    # jsonschema.ValidationError.message is a valid attribute
+                else:
+                    # example: '0' is not of type 'integer'
+                    message = e.message  # noqa: B306
+                    # jsonschema.ValidationError.message is a valid attribute
+
+                raise SynapseError(
+                    code=400,
+                    msg=message,
+                    errcode=Codes.BAD_JSON,
+                )
+
     def _validate_retention(self, event: EventBase):
         """Checks that an event that defines the retention policy for a room respects the
         format enforced by the spec.
@@ -185,3 +214,47 @@ class EventValidator:
     def _ensure_state_event(self, event):
         if not event.is_state():
             raise SynapseError(400, "'%s' must be state events" % (event.type,))
+
+
+POWER_LEVELS_SCHEMA = {
+    "type": "object",
+    "properties": {
+        "ban": {"$ref": "#/definitions/int"},
+        "events": {"$ref": "#/definitions/objectOfInts"},
+        "events_default": {"$ref": "#/definitions/int"},
+        "invite": {"$ref": "#/definitions/int"},
+        "kick": {"$ref": "#/definitions/int"},
+        "notifications": {"$ref": "#/definitions/objectOfInts"},
+        "redact": {"$ref": "#/definitions/int"},
+        "state_default": {"$ref": "#/definitions/int"},
+        "users": {"$ref": "#/definitions/objectOfInts"},
+        "users_default": {"$ref": "#/definitions/int"},
+    },
+    "definitions": {
+        "int": {
+            "type": "integer",
+            "minimum": CANONICALJSON_MIN_INT,
+            "maximum": CANONICALJSON_MAX_INT,
+        },
+        "objectOfInts": {
+            "type": "object",
+            "additionalProperties": {"$ref": "#/definitions/int"},
+        },
+    },
+}
+
+
+def _create_power_level_validator():
+    validator = jsonschema.validators.validator_for(POWER_LEVELS_SCHEMA)
+
+    # by default jsonschema does not consider a frozendict to be an object so
+    # we need to use a custom type checker
+    # https://python-jsonschema.readthedocs.io/en/stable/validate/?highlight=object#validating-with-additional-types
+    type_checker = validator.TYPE_CHECKER.redefine(
+        "object", lambda checker, thing: isinstance(thing, collections.abc.Mapping)
+    )
+
+    return jsonschema.validators.extend(validator, type_checker=type_checker)
+
+
+plValidator = _create_power_level_validator()
diff --git a/synapse/federation/federation_client.py b/synapse/federation/federation_client.py
index 29979414e3..1416abd0fb 100644
--- a/synapse/federation/federation_client.py
+++ b/synapse/federation/federation_client.py
@@ -43,6 +43,7 @@ from synapse.api.errors import (
     Codes,
     FederationDeniedError,
     HttpResponseException,
+    RequestSendFailed,
     SynapseError,
     UnsupportedRoomVersionError,
 )
@@ -110,6 +111,23 @@ class FederationClient(FederationBase):
             reset_expiry_on_get=False,
         )
 
+        # A cache for fetching the room hierarchy over federation.
+        #
+        # Some stale data over federation is OK, but must be refreshed
+        # periodically since the local server is in the room.
+        #
+        # It is a map of (room ID, suggested-only) -> the response of
+        # get_room_hierarchy.
+        self._get_room_hierarchy_cache: ExpiringCache[
+            Tuple[str, bool], Tuple[JsonDict, Sequence[JsonDict], Sequence[str]]
+        ] = ExpiringCache(
+            cache_name="get_room_hierarchy_cache",
+            clock=self._clock,
+            max_len=1000,
+            expiry_ms=5 * 60 * 1000,
+            reset_expiry_on_get=False,
+        )
+
     def _clear_tried_cache(self):
         """Clear pdu_destination_tried cache"""
         now = self._clock.time_msec()
@@ -558,7 +576,11 @@ class FederationClient(FederationBase):
 
             try:
                 return await callback(destination)
-            except InvalidResponseError as e:
+            except (
+                RequestSendFailed,
+                InvalidResponseError,
+                NotRetryingDestination,
+            ) as e:
                 logger.warning("Failed to %s via %s: %s", description, destination, e)
             except UnsupportedRoomVersionError:
                 raise
@@ -1319,6 +1341,10 @@ class FederationClient(FederationBase):
                remote servers
         """
 
+        cached_result = self._get_room_hierarchy_cache.get((room_id, suggested_only))
+        if cached_result:
+            return cached_result
+
         async def send_request(
             destination: str,
         ) -> Tuple[JsonDict, Sequence[JsonDict], Sequence[str]]:
@@ -1365,58 +1391,63 @@ class FederationClient(FederationBase):
             return room, children, inaccessible_children
 
         try:
-            return await self._try_destination_list(
+            result = await self._try_destination_list(
                 "fetch room hierarchy",
                 destinations,
                 send_request,
                 failover_on_unknown_endpoint=True,
             )
         except SynapseError as e:
+            # If an unexpected error occurred, re-raise it.
+            if e.code != 502:
+                raise
+
             # Fallback to the old federation API and translate the results if
             # no servers implement the new API.
             #
             # The algorithm below is a bit inefficient as it only attempts to
-            # get information for the requested room, but the legacy API may
+            # parse information for the requested room, but the legacy API may
             # return additional layers.
-            if e.code == 502:
-                legacy_result = await self.get_space_summary(
-                    destinations,
-                    room_id,
-                    suggested_only,
-                    max_rooms_per_space=None,
-                    exclude_rooms=[],
-                )
+            legacy_result = await self.get_space_summary(
+                destinations,
+                room_id,
+                suggested_only,
+                max_rooms_per_space=None,
+                exclude_rooms=[],
+            )
 
-                # Find the requested room in the response (and remove it).
-                for _i, room in enumerate(legacy_result.rooms):
-                    if room.get("room_id") == room_id:
-                        break
-                else:
-                    # The requested room was not returned, nothing we can do.
-                    raise
-                requested_room = legacy_result.rooms.pop(_i)
-
-                # Find any children events of the requested room.
-                children_events = []
-                children_room_ids = set()
-                for event in legacy_result.events:
-                    if event.room_id == room_id:
-                        children_events.append(event.data)
-                        children_room_ids.add(event.state_key)
-                # And add them under the requested room.
-                requested_room["children_state"] = children_events
-
-                # Find the children rooms.
-                children = []
-                for room in legacy_result.rooms:
-                    if room.get("room_id") in children_room_ids:
-                        children.append(room)
-
-                # It isn't clear from the response whether some of the rooms are
-                # not accessible.
-                return requested_room, children, ()
-
-            raise
+            # Find the requested room in the response (and remove it).
+            for _i, room in enumerate(legacy_result.rooms):
+                if room.get("room_id") == room_id:
+                    break
+            else:
+                # The requested room was not returned, nothing we can do.
+                raise
+            requested_room = legacy_result.rooms.pop(_i)
+
+            # Find any children events of the requested room.
+            children_events = []
+            children_room_ids = set()
+            for event in legacy_result.events:
+                if event.room_id == room_id:
+                    children_events.append(event.data)
+                    children_room_ids.add(event.state_key)
+            # And add them under the requested room.
+            requested_room["children_state"] = children_events
+
+            # Find the children rooms.
+            children = []
+            for room in legacy_result.rooms:
+                if room.get("room_id") in children_room_ids:
+                    children.append(room)
+
+            # It isn't clear from the response whether some of the rooms are
+            # not accessible.
+            result = (requested_room, children, ())
+
+        # Cache the result to avoid fetching data over federation every time.
+        self._get_room_hierarchy_cache[(room_id, suggested_only)] = result
+        return result
 
 
 @attr.s(frozen=True, slots=True, auto_attribs=True)
diff --git a/synapse/federation/federation_server.py b/synapse/federation/federation_server.py
index afd8f8580a..214ee948fa 100644
--- a/synapse/federation/federation_server.py
+++ b/synapse/federation/federation_server.py
@@ -110,6 +110,7 @@ class FederationServer(FederationBase):
         super().__init__(hs)
 
         self.handler = hs.get_federation_handler()
+        self._federation_event_handler = hs.get_federation_event_handler()
         self.state = hs.get_state_handler()
         self._event_auth_handler = hs.get_event_auth_handler()
 
@@ -787,7 +788,9 @@ class FederationServer(FederationBase):
 
         event = await self._check_sigs_and_hash(room_version, event)
 
-        return await self.handler.on_send_membership_event(origin, event)
+        return await self._federation_event_handler.on_send_membership_event(
+            origin, event
+        )
 
     async def on_event_auth(
         self, origin: str, room_id: str, event_id: str
@@ -1005,9 +1008,7 @@ class FederationServer(FederationBase):
             async with lock:
                 logger.info("handling received PDU: %s", event)
                 try:
-                    await self.handler.on_receive_pdu(
-                        origin, event, sent_to_us_directly=True
-                    )
+                    await self._federation_event_handler.on_receive_pdu(origin, event)
                 except FederationError as e:
                     # XXX: Ideally we'd inform the remote we failed to process
                     # the event, but we can't return an error in the transaction
diff --git a/synapse/handlers/auth.py b/synapse/handlers/auth.py
index 161b3c933c..34725324a6 100644
--- a/synapse/handlers/auth.py
+++ b/synapse/handlers/auth.py
@@ -627,23 +627,28 @@ class AuthHandler(BaseHandler):
 
     async def add_oob_auth(
         self, stagetype: str, authdict: Dict[str, Any], clientip: str
-    ) -> bool:
+    ) -> None:
         """
         Adds the result of out-of-band authentication into an existing auth
         session. Currently used for adding the result of fallback auth.
+
+        Raises:
+            LoginError if the stagetype is unknown or the session is missing.
+            LoginError is raised by check_auth if authentication fails.
         """
         if stagetype not in self.checkers:
-            raise LoginError(400, "", Codes.MISSING_PARAM)
+            raise LoginError(
+                400, f"Unknown UIA stage type: {stagetype}", Codes.INVALID_PARAM
+            )
         if "session" not in authdict:
-            raise LoginError(400, "", Codes.MISSING_PARAM)
+            raise LoginError(400, "Missing session ID", Codes.MISSING_PARAM)
 
+        # If authentication fails a LoginError is raised. Otherwise, store
+        # the successful result.
         result = await self.checkers[stagetype].check_auth(authdict, clientip)
-        if result:
-            await self.store.mark_ui_auth_stage_complete(
-                authdict["session"], stagetype, result
-            )
-            return True
-        return False
+        await self.store.mark_ui_auth_stage_complete(
+            authdict["session"], stagetype, result
+        )
 
     def get_session_id(self, clientdict: Dict[str, Any]) -> Optional[str]:
         """
@@ -1459,6 +1464,10 @@ class AuthHandler(BaseHandler):
         )
 
         await self.store.user_delete_threepid(user_id, medium, address)
+        if medium == "email":
+            await self.store.delete_pusher_by_app_id_pushkey_user_id(
+                app_id="m.email", pushkey=address, user_id=user_id
+            )
         return result
 
     async def hash(self, password: str) -> str:
@@ -1727,7 +1736,6 @@ class AuthHandler(BaseHandler):
 
 @attr.s(slots=True)
 class MacaroonGenerator:
-
     hs = attr.ib()
 
     def generate_guest_access_token(self, user_id: str) -> str:
diff --git a/synapse/handlers/federation.py b/synapse/handlers/federation.py
index c0e13bdaac..daf1d3bfb3 100644
--- a/synapse/handlers/federation.py
+++ b/synapse/handlers/federation.py
@@ -17,23 +17,9 @@
 
 import itertools
 import logging
-from collections.abc import Container
 from http import HTTPStatus
-from typing import (
-    TYPE_CHECKING,
-    Collection,
-    Dict,
-    Iterable,
-    List,
-    Optional,
-    Sequence,
-    Set,
-    Tuple,
-    Union,
-)
+from typing import TYPE_CHECKING, Dict, Iterable, List, Optional, Tuple, Union
 
-import attr
-from prometheus_client import Counter
 from signedjson.key import decode_verify_key_bytes
 from signedjson.sign import verify_signed_json
 from unpaddedbase64 import decode_base64
@@ -41,19 +27,12 @@ from unpaddedbase64 import decode_base64
 from twisted.internet import defer
 
 from synapse import event_auth
-from synapse.api.constants import (
-    EventContentFields,
-    EventTypes,
-    Membership,
-    RejectedReason,
-    RoomEncryptionAlgorithms,
-)
+from synapse.api.constants import EventTypes, Membership, RejectedReason
 from synapse.api.errors import (
     AuthError,
     CodeMessageException,
     Codes,
     FederationDeniedError,
-    FederationError,
     HttpResponseException,
     NotFoundError,
     RequestSendFailed,
@@ -61,10 +40,10 @@ from synapse.api.errors import (
 )
 from synapse.api.room_versions import KNOWN_ROOM_VERSIONS, RoomVersion, RoomVersions
 from synapse.crypto.event_signing import compute_event_signature
-from synapse.event_auth import auth_types_for_event
 from synapse.events import EventBase
 from synapse.events.snapshot import EventContext
 from synapse.events.validator import EventValidator
+from synapse.federation.federation_client import InvalidResponseError
 from synapse.handlers._base import BaseHandler
 from synapse.http.servlet import assert_params_in_dict
 from synapse.logging.context import (
@@ -74,28 +53,14 @@ from synapse.logging.context import (
     run_in_background,
 )
 from synapse.logging.utils import log_function
-from synapse.metrics.background_process_metrics import run_as_background_process
-from synapse.replication.http.devices import ReplicationUserDevicesResyncRestServlet
 from synapse.replication.http.federation import (
     ReplicationCleanRoomRestServlet,
-    ReplicationFederationSendEventsRestServlet,
     ReplicationStoreRoomOnOutlierMembershipRestServlet,
 )
-from synapse.state import StateResolutionStore
 from synapse.storage.databases.main.events_worker import EventRedactBehaviour
-from synapse.types import (
-    JsonDict,
-    MutableStateMap,
-    PersistedEventPosition,
-    RoomStreamToken,
-    StateMap,
-    UserID,
-    get_domain_from_id,
-)
-from synapse.util.async_helpers import Linearizer, concurrently_execute
-from synapse.util.iterutils import batch_iter
+from synapse.types import JsonDict, StateMap, get_domain_from_id
+from synapse.util.async_helpers import Linearizer
 from synapse.util.retryutils import NotRetryingDestination
-from synapse.util.stringutils import shortstr
 from synapse.visibility import filter_events_for_server
 
 if TYPE_CHECKING:
@@ -103,50 +68,11 @@ if TYPE_CHECKING:
 
 logger = logging.getLogger(__name__)
 
-soft_failed_event_counter = Counter(
-    "synapse_federation_soft_failed_events_total",
-    "Events received over federation that we marked as soft_failed",
-)
-
-
-@attr.s(slots=True, frozen=True, auto_attribs=True)
-class _NewEventInfo:
-    """Holds information about a received event, ready for passing to _auth_and_persist_events
-
-    Attributes:
-        event: the received event
-
-        state: the state at that event, according to /state_ids from a remote
-           homeserver. Only populated for backfilled events which are going to be a
-           new backwards extremity.
-
-        claimed_auth_event_map: a map of (type, state_key) => event for the event's
-            claimed auth_events.
-
-            This can include events which have not yet been persisted, in the case that
-            we are backfilling a batch of events.
-
-            Note: May be incomplete: if we were unable to find all of the claimed auth
-            events. Also, treat the contents with caution: the events might also have
-            been rejected, might not yet have been authorized themselves, or they might
-            be in the wrong room.
-
-    """
-
-    event: EventBase
-    state: Optional[Sequence[EventBase]]
-    claimed_auth_event_map: StateMap[EventBase]
-
 
 class FederationHandler(BaseHandler):
-    """Handles events that originated from federation.
-    Responsible for:
-    a) handling received Pdus before handing them on as Events to the rest
-    of the homeserver (including auth and state conflict resolutions)
-    b) converting events that were produced by local clients that may need
-    to be sent to remote homeservers.
-    c) doing the necessary dances to invite remote users and join remote
-    rooms.
+    """Handles general incoming federation requests
+
+    Incoming events are *not* handled here, for which see FederationEventHandler.
     """
 
     def __init__(self, hs: "HomeServer"):
@@ -159,979 +85,35 @@ class FederationHandler(BaseHandler):
         self.state_store = self.storage.state
         self.federation_client = hs.get_federation_client()
         self.state_handler = hs.get_state_handler()
-        self._state_resolution_handler = hs.get_state_resolution_handler()
         self.server_name = hs.hostname
         self.keyring = hs.get_keyring()
-        self.action_generator = hs.get_action_generator()
         self.is_mine_id = hs.is_mine_id
         self.spam_checker = hs.get_spam_checker()
         self.event_creation_handler = hs.get_event_creation_handler()
         self._event_auth_handler = hs.get_event_auth_handler()
-        self._message_handler = hs.get_message_handler()
         self._server_notices_mxid = hs.config.server_notices_mxid
         self.config = hs.config
         self.http_client = hs.get_proxied_blacklisted_http_client()
-        self._instance_name = hs.get_instance_name()
         self._replication = hs.get_replication_data_handler()
+        self._federation_event_handler = hs.get_federation_event_handler()
 
-        self._send_events = ReplicationFederationSendEventsRestServlet.make_client(hs)
         self._clean_room_for_join_client = ReplicationCleanRoomRestServlet.make_client(
             hs
         )
 
         if hs.config.worker_app:
-            self._user_device_resync = (
-                ReplicationUserDevicesResyncRestServlet.make_client(hs)
-            )
             self._maybe_store_room_on_outlier_membership = (
                 ReplicationStoreRoomOnOutlierMembershipRestServlet.make_client(hs)
             )
         else:
-            self._device_list_updater = hs.get_device_handler().device_list_updater
             self._maybe_store_room_on_outlier_membership = (
                 self.store.maybe_store_room_on_outlier_membership
             )
 
-        # When joining a room we need to queue any events for that room up.
-        # For each room, a list of (pdu, origin) tuples.
-        self.room_queues: Dict[str, List[Tuple[EventBase, str]]] = {}
-        self._room_pdu_linearizer = Linearizer("fed_room_pdu")
-
         self._room_backfill = Linearizer("room_backfill")
 
         self.third_party_event_rules = hs.get_third_party_event_rules()
 
-        self._ephemeral_messages_enabled = hs.config.enable_ephemeral_messages
-
-    async def on_receive_pdu(
-        self, origin: str, pdu: EventBase, sent_to_us_directly: bool = False
-    ) -> None:
-        """Process a PDU received via a federation /send/ transaction, or
-        via backfill of missing prev_events
-
-        Args:
-            origin: server which initiated the /send/ transaction. Will
-                be used to fetch missing events or state.
-            pdu: received PDU
-            sent_to_us_directly: True if this event was pushed to us; False if
-                we pulled it as the result of a missing prev_event.
-        """
-
-        room_id = pdu.room_id
-        event_id = pdu.event_id
-
-        # We reprocess pdus when we have seen them only as outliers
-        existing = await self.store.get_event(
-            event_id, allow_none=True, allow_rejected=True
-        )
-
-        # FIXME: Currently we fetch an event again when we already have it
-        # if it has been marked as an outlier.
-        if existing:
-            if not existing.internal_metadata.is_outlier():
-                logger.info(
-                    "Ignoring received event %s which we have already seen", event_id
-                )
-                return
-            if pdu.internal_metadata.is_outlier():
-                logger.info(
-                    "Ignoring received outlier %s which we already have as an outlier",
-                    event_id,
-                )
-                return
-            logger.info("De-outliering event %s", event_id)
-
-        # do some initial sanity-checking of the event. In particular, make
-        # sure it doesn't have hundreds of prev_events or auth_events, which
-        # could cause a huge state resolution or cascade of event fetches.
-        try:
-            self._sanity_check_event(pdu)
-        except SynapseError as err:
-            logger.warning("Received event failed sanity checks")
-            raise FederationError("ERROR", err.code, err.msg, affected=pdu.event_id)
-
-        # If we are currently in the process of joining this room, then we
-        # queue up events for later processing.
-        if room_id in self.room_queues:
-            logger.info(
-                "Queuing PDU from %s for now: join in progress",
-                origin,
-            )
-            self.room_queues[room_id].append((pdu, origin))
-            return
-
-        # If we're not in the room just ditch the event entirely. This is
-        # probably an old server that has come back and thinks we're still in
-        # the room (or we've been rejoined to the room by a state reset).
-        #
-        # Note that if we were never in the room then we would have already
-        # dropped the event, since we wouldn't know the room version.
-        is_in_room = await self._event_auth_handler.check_host_in_room(
-            room_id, self.server_name
-        )
-        if not is_in_room:
-            logger.info(
-                "Ignoring PDU from %s as we're not in the room",
-                origin,
-            )
-            return None
-
-        state = None
-
-        # Check that the event passes auth based on the state at the event. This is
-        # done for events that are to be added to the timeline (non-outliers).
-        #
-        # Get missing pdus if necessary:
-        #  - Fetching any missing prev events to fill in gaps in the graph
-        #  - Fetching state if we have a hole in the graph
-        if not pdu.internal_metadata.is_outlier():
-            # We only backfill backwards to the min depth.
-            min_depth = await self.get_min_depth_for_context(pdu.room_id)
-
-            logger.debug("min_depth: %d", min_depth)
-
-            prevs = set(pdu.prev_event_ids())
-            seen = await self.store.have_events_in_timeline(prevs)
-
-            if min_depth is not None and pdu.depth < min_depth:
-                # This is so that we don't notify the user about this
-                # message, to work around the fact that some events will
-                # reference really really old events we really don't want to
-                # send to the clients.
-                pdu.internal_metadata.outlier = True
-            elif min_depth is not None and pdu.depth > min_depth:
-                missing_prevs = prevs - seen
-                if sent_to_us_directly and missing_prevs:
-                    # If we're missing stuff, ensure we only fetch stuff one
-                    # at a time.
-                    logger.info(
-                        "Acquiring room lock to fetch %d missing prev_events: %s",
-                        len(missing_prevs),
-                        shortstr(missing_prevs),
-                    )
-                    with (await self._room_pdu_linearizer.queue(pdu.room_id)):
-                        logger.info(
-                            "Acquired room lock to fetch %d missing prev_events",
-                            len(missing_prevs),
-                        )
-
-                        try:
-                            await self._get_missing_events_for_pdu(
-                                origin, pdu, prevs, min_depth
-                            )
-                        except Exception as e:
-                            raise Exception(
-                                "Error fetching missing prev_events for %s: %s"
-                                % (event_id, e)
-                            ) from e
-
-                        # Update the set of things we've seen after trying to
-                        # fetch the missing stuff
-                        seen = await self.store.have_events_in_timeline(prevs)
-
-                        if not prevs - seen:
-                            logger.info(
-                                "Found all missing prev_events",
-                            )
-
-            missing_prevs = prevs - seen
-            if missing_prevs:
-                # We've still not been able to get all of the prev_events for this event.
-                #
-                # In this case, we need to fall back to asking another server in the
-                # federation for the state at this event. That's ok provided we then
-                # resolve the state against other bits of the DAG before using it (which
-                # will ensure that you can't just take over a room by sending an event,
-                # withholding its prev_events, and declaring yourself to be an admin in
-                # the subsequent state request).
-                #
-                # Now, if we're pulling this event as a missing prev_event, then clearly
-                # this event is not going to become the only forward-extremity and we are
-                # guaranteed to resolve its state against our existing forward
-                # extremities, so that should be fine.
-                #
-                # On the other hand, if this event was pushed to us, it is possible for
-                # it to become the only forward-extremity in the room, and we would then
-                # trust its state to be the state for the whole room. This is very bad.
-                # Further, if the event was pushed to us, there is no excuse for us not to
-                # have all the prev_events. We therefore reject any such events.
-                #
-                # XXX this really feels like it could/should be merged with the above,
-                # but there is an interaction with min_depth that I'm not really
-                # following.
-
-                if sent_to_us_directly:
-                    logger.warning(
-                        "Rejecting: failed to fetch %d prev events: %s",
-                        len(missing_prevs),
-                        shortstr(missing_prevs),
-                    )
-                    raise FederationError(
-                        "ERROR",
-                        403,
-                        (
-                            "Your server isn't divulging details about prev_events "
-                            "referenced in this event."
-                        ),
-                        affected=pdu.event_id,
-                    )
-
-                logger.info(
-                    "Event %s is missing prev_events %s: calculating state for a "
-                    "backwards extremity",
-                    event_id,
-                    shortstr(missing_prevs),
-                )
-
-                # Calculate the state after each of the previous events, and
-                # resolve them to find the correct state at the current event.
-                event_map = {event_id: pdu}
-                try:
-                    # Get the state of the events we know about
-                    ours = await self.state_store.get_state_groups_ids(room_id, seen)
-
-                    # state_maps is a list of mappings from (type, state_key) to event_id
-                    state_maps: List[StateMap[str]] = list(ours.values())
-
-                    # we don't need this any more, let's delete it.
-                    del ours
-
-                    # Ask the remote server for the states we don't
-                    # know about
-                    for p in missing_prevs:
-                        logger.info("Requesting state after missing prev_event %s", p)
-
-                        with nested_logging_context(p):
-                            # note that if any of the missing prevs share missing state or
-                            # auth events, the requests to fetch those events are deduped
-                            # by the get_pdu_cache in federation_client.
-                            remote_state = (
-                                await self._get_state_after_missing_prev_event(
-                                    origin, room_id, p
-                                )
-                            )
-
-                            remote_state_map = {
-                                (x.type, x.state_key): x.event_id for x in remote_state
-                            }
-                            state_maps.append(remote_state_map)
-
-                            for x in remote_state:
-                                event_map[x.event_id] = x
-
-                    room_version = await self.store.get_room_version_id(room_id)
-                    state_map = (
-                        await self._state_resolution_handler.resolve_events_with_store(
-                            room_id,
-                            room_version,
-                            state_maps,
-                            event_map,
-                            state_res_store=StateResolutionStore(self.store),
-                        )
-                    )
-
-                    # We need to give _process_received_pdu the actual state events
-                    # rather than event ids, so generate that now.
-
-                    # First though we need to fetch all the events that are in
-                    # state_map, so we can build up the state below.
-                    evs = await self.store.get_events(
-                        list(state_map.values()),
-                        get_prev_content=False,
-                        redact_behaviour=EventRedactBehaviour.AS_IS,
-                    )
-                    event_map.update(evs)
-
-                    state = [event_map[e] for e in state_map.values()]
-                except Exception:
-                    logger.warning(
-                        "Error attempting to resolve state at missing " "prev_events",
-                        exc_info=True,
-                    )
-                    raise FederationError(
-                        "ERROR",
-                        403,
-                        "We can't get valid state history.",
-                        affected=event_id,
-                    )
-
-        # A second round of checks for all events. Check that the event passes auth
-        # based on `auth_events`, this allows us to assert that the event would
-        # have been allowed at some point. If an event passes this check its OK
-        # for it to be used as part of a returned `/state` request, as either
-        # a) we received the event as part of the original join and so trust it, or
-        # b) we'll do a state resolution with existing state before it becomes
-        # part of the "current state", which adds more protection.
-        await self._process_received_pdu(origin, pdu, state=state)
-
-    async def _get_missing_events_for_pdu(
-        self, origin: str, pdu: EventBase, prevs: Set[str], min_depth: int
-    ) -> None:
-        """
-        Args:
-            origin: Origin of the pdu. Will be called to get the missing events
-            pdu: received pdu
-            prevs: List of event ids which we are missing
-            min_depth: Minimum depth of events to return.
-        """
-
-        room_id = pdu.room_id
-        event_id = pdu.event_id
-
-        seen = await self.store.have_events_in_timeline(prevs)
-
-        if not prevs - seen:
-            return
-
-        latest_list = await self.store.get_latest_event_ids_in_room(room_id)
-
-        # We add the prev events that we have seen to the latest
-        # list to ensure the remote server doesn't give them to us
-        latest = set(latest_list)
-        latest |= seen
-
-        logger.info(
-            "Requesting missing events between %s and %s",
-            shortstr(latest),
-            event_id,
-        )
-
-        # XXX: we set timeout to 10s to help workaround
-        # https://github.com/matrix-org/synapse/issues/1733.
-        # The reason is to avoid holding the linearizer lock
-        # whilst processing inbound /send transactions, causing
-        # FDs to stack up and block other inbound transactions
-        # which empirically can currently take up to 30 minutes.
-        #
-        # N.B. this explicitly disables retry attempts.
-        #
-        # N.B. this also increases our chances of falling back to
-        # fetching fresh state for the room if the missing event
-        # can't be found, which slightly reduces our security.
-        # it may also increase our DAG extremity count for the room,
-        # causing additional state resolution?  See #1760.
-        # However, fetching state doesn't hold the linearizer lock
-        # apparently.
-        #
-        # see https://github.com/matrix-org/synapse/pull/1744
-        #
-        # ----
-        #
-        # Update richvdh 2018/09/18: There are a number of problems with timing this
-        # request out aggressively on the client side:
-        #
-        # - it plays badly with the server-side rate-limiter, which starts tarpitting you
-        #   if you send too many requests at once, so you end up with the server carefully
-        #   working through the backlog of your requests, which you have already timed
-        #   out.
-        #
-        # - for this request in particular, we now (as of
-        #   https://github.com/matrix-org/synapse/pull/3456) reject any PDUs where the
-        #   server can't produce a plausible-looking set of prev_events - so we becone
-        #   much more likely to reject the event.
-        #
-        # - contrary to what it says above, we do *not* fall back to fetching fresh state
-        #   for the room if get_missing_events times out. Rather, we give up processing
-        #   the PDU whose prevs we are missing, which then makes it much more likely that
-        #   we'll end up back here for the *next* PDU in the list, which exacerbates the
-        #   problem.
-        #
-        # - the aggressive 10s timeout was introduced to deal with incoming federation
-        #   requests taking 8 hours to process. It's not entirely clear why that was going
-        #   on; certainly there were other issues causing traffic storms which are now
-        #   resolved, and I think in any case we may be more sensible about our locking
-        #   now. We're *certainly* more sensible about our logging.
-        #
-        # All that said: Let's try increasing the timeout to 60s and see what happens.
-
-        try:
-            missing_events = await self.federation_client.get_missing_events(
-                origin,
-                room_id,
-                earliest_events_ids=list(latest),
-                latest_events=[pdu],
-                limit=10,
-                min_depth=min_depth,
-                timeout=60000,
-            )
-        except (RequestSendFailed, HttpResponseException, NotRetryingDestination) as e:
-            # We failed to get the missing events, but since we need to handle
-            # the case of `get_missing_events` not returning the necessary
-            # events anyway, it is safe to simply log the error and continue.
-            logger.warning("Failed to get prev_events: %s", e)
-            return
-
-        logger.info("Got %d prev_events", len(missing_events))
-
-        # We want to sort these by depth so we process them and
-        # tell clients about them in order.
-        missing_events.sort(key=lambda x: x.depth)
-
-        for ev in missing_events:
-            logger.info("Handling received prev_event %s", ev)
-            with nested_logging_context(ev.event_id):
-                try:
-                    await self.on_receive_pdu(origin, ev, sent_to_us_directly=False)
-                except FederationError as e:
-                    if e.code == 403:
-                        logger.warning(
-                            "Received prev_event %s failed history check.",
-                            ev.event_id,
-                        )
-                    else:
-                        raise
-
-    async def _get_state_for_room(
-        self,
-        destination: str,
-        room_id: str,
-        event_id: str,
-    ) -> List[EventBase]:
-        """Requests all of the room state at a given event from a remote
-        homeserver.
-
-        Will also fetch any missing events reported in the `auth_chain_ids`
-        section of `/state_ids`.
-
-        Args:
-            destination: The remote homeserver to query for the state.
-            room_id: The id of the room we're interested in.
-            event_id: The id of the event we want the state at.
-
-        Returns:
-            A list of events in the state, not including the event itself.
-        """
-        (
-            state_event_ids,
-            auth_event_ids,
-        ) = await self.federation_client.get_room_state_ids(
-            destination, room_id, event_id=event_id
-        )
-
-        # Fetch the state events from the DB, and check we have the auth events.
-        event_map = await self.store.get_events(state_event_ids, allow_rejected=True)
-        auth_events_in_store = await self.store.have_seen_events(
-            room_id, auth_event_ids
-        )
-
-        # Check for missing events. We handle state and auth event seperately,
-        # as we want to pull the state from the DB, but we don't for the auth
-        # events. (Note: we likely won't use the majority of the auth chain, and
-        # it can be *huge* for large rooms, so it's worth ensuring that we don't
-        # unnecessarily pull it from the DB).
-        missing_state_events = set(state_event_ids) - set(event_map)
-        missing_auth_events = set(auth_event_ids) - set(auth_events_in_store)
-        if missing_state_events or missing_auth_events:
-            await self._get_events_and_persist(
-                destination=destination,
-                room_id=room_id,
-                events=missing_state_events | missing_auth_events,
-            )
-
-            if missing_state_events:
-                new_events = await self.store.get_events(
-                    missing_state_events, allow_rejected=True
-                )
-                event_map.update(new_events)
-
-                missing_state_events.difference_update(new_events)
-
-                if missing_state_events:
-                    logger.warning(
-                        "Failed to fetch missing state events for %s %s",
-                        event_id,
-                        missing_state_events,
-                    )
-
-            if missing_auth_events:
-                auth_events_in_store = await self.store.have_seen_events(
-                    room_id, missing_auth_events
-                )
-                missing_auth_events.difference_update(auth_events_in_store)
-
-                if missing_auth_events:
-                    logger.warning(
-                        "Failed to fetch missing auth events for %s %s",
-                        event_id,
-                        missing_auth_events,
-                    )
-
-        remote_state = list(event_map.values())
-
-        # check for events which were in the wrong room.
-        #
-        # this can happen if a remote server claims that the state or
-        # auth_events at an event in room A are actually events in room B
-
-        bad_events = [
-            (event.event_id, event.room_id)
-            for event in remote_state
-            if event.room_id != room_id
-        ]
-
-        for bad_event_id, bad_room_id in bad_events:
-            # This is a bogus situation, but since we may only discover it a long time
-            # after it happened, we try our best to carry on, by just omitting the
-            # bad events from the returned auth/state set.
-            logger.warning(
-                "Remote server %s claims event %s in room %s is an auth/state "
-                "event in room %s",
-                destination,
-                bad_event_id,
-                bad_room_id,
-                room_id,
-            )
-
-        if bad_events:
-            remote_state = [e for e in remote_state if e.room_id == room_id]
-
-        return remote_state
-
-    async def _get_state_after_missing_prev_event(
-        self,
-        destination: str,
-        room_id: str,
-        event_id: str,
-    ) -> List[EventBase]:
-        """Requests all of the room state at a given event from a remote homeserver.
-
-        Args:
-            destination: The remote homeserver to query for the state.
-            room_id: The id of the room we're interested in.
-            event_id: The id of the event we want the state at.
-
-        Returns:
-            A list of events in the state, including the event itself
-        """
-        # TODO: This function is basically the same as _get_state_for_room. Can
-        #   we make backfill() use it, rather than having two code paths? I think the
-        #   only difference is that backfill() persists the prev events separately.
-
-        (
-            state_event_ids,
-            auth_event_ids,
-        ) = await self.federation_client.get_room_state_ids(
-            destination, room_id, event_id=event_id
-        )
-
-        logger.debug(
-            "state_ids returned %i state events, %i auth events",
-            len(state_event_ids),
-            len(auth_event_ids),
-        )
-
-        # start by just trying to fetch the events from the store
-        desired_events = set(state_event_ids)
-        desired_events.add(event_id)
-        logger.debug("Fetching %i events from cache/store", len(desired_events))
-        fetched_events = await self.store.get_events(
-            desired_events, allow_rejected=True
-        )
-
-        missing_desired_events = desired_events - fetched_events.keys()
-        logger.debug(
-            "We are missing %i events (got %i)",
-            len(missing_desired_events),
-            len(fetched_events),
-        )
-
-        # We probably won't need most of the auth events, so let's just check which
-        # we have for now, rather than thrashing the event cache with them all
-        # unnecessarily.
-
-        # TODO: we probably won't actually need all of the auth events, since we
-        #   already have a bunch of the state events. It would be nice if the
-        #   federation api gave us a way of finding out which we actually need.
-
-        missing_auth_events = set(auth_event_ids) - fetched_events.keys()
-        missing_auth_events.difference_update(
-            await self.store.have_seen_events(room_id, missing_auth_events)
-        )
-        logger.debug("We are also missing %i auth events", len(missing_auth_events))
-
-        missing_events = missing_desired_events | missing_auth_events
-        logger.debug("Fetching %i events from remote", len(missing_events))
-        await self._get_events_and_persist(
-            destination=destination, room_id=room_id, events=missing_events
-        )
-
-        # we need to make sure we re-load from the database to get the rejected
-        # state correct.
-        fetched_events.update(
-            await self.store.get_events(missing_desired_events, allow_rejected=True)
-        )
-
-        # check for events which were in the wrong room.
-        #
-        # this can happen if a remote server claims that the state or
-        # auth_events at an event in room A are actually events in room B
-
-        bad_events = [
-            (event_id, event.room_id)
-            for event_id, event in fetched_events.items()
-            if event.room_id != room_id
-        ]
-
-        for bad_event_id, bad_room_id in bad_events:
-            # This is a bogus situation, but since we may only discover it a long time
-            # after it happened, we try our best to carry on, by just omitting the
-            # bad events from the returned state set.
-            logger.warning(
-                "Remote server %s claims event %s in room %s is an auth/state "
-                "event in room %s",
-                destination,
-                bad_event_id,
-                bad_room_id,
-                room_id,
-            )
-
-            del fetched_events[bad_event_id]
-
-        # if we couldn't get the prev event in question, that's a problem.
-        remote_event = fetched_events.get(event_id)
-        if not remote_event:
-            raise Exception("Unable to get missing prev_event %s" % (event_id,))
-
-        # missing state at that event is a warning, not a blocker
-        # XXX: this doesn't sound right? it means that we'll end up with incomplete
-        #   state.
-        failed_to_fetch = desired_events - fetched_events.keys()
-        if failed_to_fetch:
-            logger.warning(
-                "Failed to fetch missing state events for %s %s",
-                event_id,
-                failed_to_fetch,
-            )
-
-        remote_state = [
-            fetched_events[e_id] for e_id in state_event_ids if e_id in fetched_events
-        ]
-
-        if remote_event.is_state() and remote_event.rejected_reason is None:
-            remote_state.append(remote_event)
-
-        return remote_state
-
-    async def _process_received_pdu(
-        self,
-        origin: str,
-        event: EventBase,
-        state: Optional[Iterable[EventBase]],
-    ) -> None:
-        """Called when we have a new pdu. We need to do auth checks and put it
-        through the StateHandler.
-
-        Args:
-            origin: server sending the event
-
-            event: event to be persisted
-
-            state: Normally None, but if we are handling a gap in the graph
-                (ie, we are missing one or more prev_events), the resolved state at the
-                event
-        """
-        logger.debug("Processing event: %s", event)
-
-        try:
-            context = await self.state_handler.compute_event_context(
-                event, old_state=state
-            )
-            await self._auth_and_persist_event(origin, event, context, state=state)
-        except AuthError as e:
-            raise FederationError("ERROR", e.code, e.msg, affected=event.event_id)
-
-        # For encrypted messages we check that we know about the sending device,
-        # if we don't then we mark the device cache for that user as stale.
-        if event.type == EventTypes.Encrypted:
-            device_id = event.content.get("device_id")
-            sender_key = event.content.get("sender_key")
-
-            cached_devices = await self.store.get_cached_devices_for_user(event.sender)
-
-            resync = False  # Whether we should resync device lists.
-
-            device = None
-            if device_id is not None:
-                device = cached_devices.get(device_id)
-                if device is None:
-                    logger.info(
-                        "Received event from remote device not in our cache: %s %s",
-                        event.sender,
-                        device_id,
-                    )
-                    resync = True
-
-            # We also check if the `sender_key` matches what we expect.
-            if sender_key is not None:
-                # Figure out what sender key we're expecting. If we know the
-                # device and recognize the algorithm then we can work out the
-                # exact key to expect. Otherwise check it matches any key we
-                # have for that device.
-
-                current_keys: Container[str] = []
-
-                if device:
-                    keys = device.get("keys", {}).get("keys", {})
-
-                    if (
-                        event.content.get("algorithm")
-                        == RoomEncryptionAlgorithms.MEGOLM_V1_AES_SHA2
-                    ):
-                        # For this algorithm we expect a curve25519 key.
-                        key_name = "curve25519:%s" % (device_id,)
-                        current_keys = [keys.get(key_name)]
-                    else:
-                        # We don't know understand the algorithm, so we just
-                        # check it matches a key for the device.
-                        current_keys = keys.values()
-                elif device_id:
-                    # We don't have any keys for the device ID.
-                    pass
-                else:
-                    # The event didn't include a device ID, so we just look for
-                    # keys across all devices.
-                    current_keys = [
-                        key
-                        for device in cached_devices.values()
-                        for key in device.get("keys", {}).get("keys", {}).values()
-                    ]
-
-                # We now check that the sender key matches (one of) the expected
-                # keys.
-                if sender_key not in current_keys:
-                    logger.info(
-                        "Received event from remote device with unexpected sender key: %s %s: %s",
-                        event.sender,
-                        device_id or "<no device_id>",
-                        sender_key,
-                    )
-                    resync = True
-
-            if resync:
-                run_as_background_process(
-                    "resync_device_due_to_pdu", self._resync_device, event.sender
-                )
-
-        await self._handle_marker_event(origin, event)
-
-    async def _handle_marker_event(self, origin: str, marker_event: EventBase):
-        """Handles backfilling the insertion event when we receive a marker
-        event that points to one.
-
-        Args:
-            origin: Origin of the event. Will be called to get the insertion event
-            marker_event: The event to process
-        """
-
-        if marker_event.type != EventTypes.MSC2716_MARKER:
-            # Not a marker event
-            return
-
-        if marker_event.rejected_reason is not None:
-            # Rejected event
-            return
-
-        # Skip processing a marker event if the room version doesn't
-        # support it.
-        room_version = await self.store.get_room_version(marker_event.room_id)
-        if not room_version.msc2716_historical:
-            return
-
-        logger.debug("_handle_marker_event: received %s", marker_event)
-
-        insertion_event_id = marker_event.content.get(
-            EventContentFields.MSC2716_MARKER_INSERTION
-        )
-
-        if insertion_event_id is None:
-            # Nothing to retrieve then (invalid marker)
-            return
-
-        logger.debug(
-            "_handle_marker_event: backfilling insertion event %s", insertion_event_id
-        )
-
-        await self._get_events_and_persist(
-            origin,
-            marker_event.room_id,
-            [insertion_event_id],
-        )
-
-        insertion_event = await self.store.get_event(
-            insertion_event_id, allow_none=True
-        )
-        if insertion_event is None:
-            logger.warning(
-                "_handle_marker_event: server %s didn't return insertion event %s for marker %s",
-                origin,
-                insertion_event_id,
-                marker_event.event_id,
-            )
-            return
-
-        logger.debug(
-            "_handle_marker_event: succesfully backfilled insertion event %s from marker event %s",
-            insertion_event,
-            marker_event,
-        )
-
-        await self.store.insert_insertion_extremity(
-            insertion_event_id, marker_event.room_id
-        )
-
-        logger.debug(
-            "_handle_marker_event: insertion extremity added for %s from marker event %s",
-            insertion_event,
-            marker_event,
-        )
-
-    async def _resync_device(self, sender: str) -> None:
-        """We have detected that the device list for the given user may be out
-        of sync, so we try and resync them.
-        """
-
-        try:
-            await self.store.mark_remote_user_device_cache_as_stale(sender)
-
-            # Immediately attempt a resync in the background
-            if self.config.worker_app:
-                await self._user_device_resync(user_id=sender)
-            else:
-                await self._device_list_updater.user_device_resync(sender)
-        except Exception:
-            logger.exception("Failed to resync device for %s", sender)
-
-    @log_function
-    async def backfill(
-        self, dest: str, room_id: str, limit: int, extremities: List[str]
-    ) -> List[EventBase]:
-        """Trigger a backfill request to `dest` for the given `room_id`
-
-        This will attempt to get more events from the remote. If the other side
-        has no new events to offer, this will return an empty list.
-
-        As the events are received, we check their signatures, and also do some
-        sanity-checking on them. If any of the backfilled events are invalid,
-        this method throws a SynapseError.
-
-        TODO: make this more useful to distinguish failures of the remote
-        server from invalid events (there is probably no point in trying to
-        re-fetch invalid events from every other HS in the room.)
-        """
-        if dest == self.server_name:
-            raise SynapseError(400, "Can't backfill from self.")
-
-        events = await self.federation_client.backfill(
-            dest, room_id, limit=limit, extremities=extremities
-        )
-
-        if not events:
-            return []
-
-        # ideally we'd sanity check the events here for excess prev_events etc,
-        # but it's hard to reject events at this point without completely
-        # breaking backfill in the same way that it is currently broken by
-        # events whose signature we cannot verify (#3121).
-        #
-        # So for now we accept the events anyway. #3124 tracks this.
-        #
-        # for ev in events:
-        #     self._sanity_check_event(ev)
-
-        # Don't bother processing events we already have.
-        seen_events = await self.store.have_events_in_timeline(
-            {e.event_id for e in events}
-        )
-
-        events = [e for e in events if e.event_id not in seen_events]
-
-        if not events:
-            return []
-
-        event_map = {e.event_id: e for e in events}
-
-        event_ids = {e.event_id for e in events}
-
-        # build a list of events whose prev_events weren't in the batch.
-        # (XXX: this will include events whose prev_events we already have; that doesn't
-        # sound right?)
-        edges = [ev.event_id for ev in events if set(ev.prev_event_ids()) - event_ids]
-
-        logger.info("backfill: Got %d events with %d edges", len(events), len(edges))
-
-        # For each edge get the current state.
-
-        state_events = {}
-        events_to_state = {}
-        for e_id in edges:
-            state = await self._get_state_for_room(
-                destination=dest,
-                room_id=room_id,
-                event_id=e_id,
-            )
-            state_events.update({s.event_id: s for s in state})
-            events_to_state[e_id] = state
-
-        required_auth = {
-            a_id
-            for event in events + list(state_events.values())
-            for a_id in event.auth_event_ids()
-        }
-        auth_events = await self.store.get_events(required_auth, allow_rejected=True)
-        auth_events.update(
-            {e_id: event_map[e_id] for e_id in required_auth if e_id in event_map}
-        )
-
-        ev_infos = []
-
-        # Step 1: persist the events in the chunk we fetched state for (i.e.
-        # the backwards extremities), with custom auth events and state
-        for e_id in events_to_state:
-            # For paranoia we ensure that these events are marked as
-            # non-outliers
-            ev = event_map[e_id]
-            assert not ev.internal_metadata.is_outlier()
-
-            ev_infos.append(
-                _NewEventInfo(
-                    event=ev,
-                    state=events_to_state[e_id],
-                    claimed_auth_event_map={
-                        (
-                            auth_events[a_id].type,
-                            auth_events[a_id].state_key,
-                        ): auth_events[a_id]
-                        for a_id in ev.auth_event_ids()
-                        if a_id in auth_events
-                    },
-                )
-            )
-
-        if ev_infos:
-            await self._auth_and_persist_events(
-                dest, room_id, ev_infos, backfilled=True
-            )
-
-        # Step 2: Persist the rest of the events in the chunk one by one
-        events.sort(key=lambda e: e.depth)
-
-        for event in events:
-            if event in events_to_state:
-                continue
-
-            # For paranoia we ensure that these events are marked as
-            # non-outliers
-            assert not event.internal_metadata.is_outlier()
-
-            context = await self.state_handler.compute_event_context(event)
-
-            # We store these one at a time since each event depends on the
-            # previous to work out the state.
-            # TODO: We can probably do something more clever here.
-            await self._auth_and_persist_event(dest, event, context, backfilled=True)
-
-        return events
-
     async def maybe_backfill(
         self, room_id: str, current_depth: int, limit: int
     ) -> bool:
@@ -1326,14 +308,14 @@ class FederationHandler(BaseHandler):
             # TODO: Should we try multiple of these at a time?
             for dom in domains:
                 try:
-                    await self.backfill(
+                    await self._federation_event_handler.backfill(
                         dom, room_id, limit=100, extremities=extremities
                     )
                     # If this succeeded then we probably already have the
                     # appropriate stuff.
                     # TODO: We can probably do something more intelligent here.
                     return True
-                except SynapseError as e:
+                except (SynapseError, InvalidResponseError) as e:
                     logger.info("Failed to backfill from %s because %s", dom, e)
                     continue
                 except HttpResponseException as e:
@@ -1417,115 +399,6 @@ class FederationHandler(BaseHandler):
 
         return False
 
-    async def _get_events_and_persist(
-        self, destination: str, room_id: str, events: Iterable[str]
-    ) -> None:
-        """Fetch the given events from a server, and persist them as outliers.
-
-        This function *does not* recursively get missing auth events of the
-        newly fetched events. Callers must include in the `events` argument
-        any missing events from the auth chain.
-
-        Logs a warning if we can't find the given event.
-        """
-
-        room_version = await self.store.get_room_version(room_id)
-
-        event_map: Dict[str, EventBase] = {}
-
-        async def get_event(event_id: str):
-            with nested_logging_context(event_id):
-                try:
-                    event = await self.federation_client.get_pdu(
-                        [destination],
-                        event_id,
-                        room_version,
-                        outlier=True,
-                    )
-                    if event is None:
-                        logger.warning(
-                            "Server %s didn't return event %s",
-                            destination,
-                            event_id,
-                        )
-                        return
-
-                    event_map[event.event_id] = event
-
-                except Exception as e:
-                    logger.warning(
-                        "Error fetching missing state/auth event %s: %s %s",
-                        event_id,
-                        type(e),
-                        e,
-                    )
-
-        await concurrently_execute(get_event, events, 5)
-
-        # Make a map of auth events for each event. We do this after fetching
-        # all the events as some of the events' auth events will be in the list
-        # of requested events.
-
-        auth_events = [
-            aid
-            for event in event_map.values()
-            for aid in event.auth_event_ids()
-            if aid not in event_map
-        ]
-        persisted_events = await self.store.get_events(
-            auth_events,
-            allow_rejected=True,
-        )
-
-        event_infos = []
-        for event in event_map.values():
-            auth = {}
-            for auth_event_id in event.auth_event_ids():
-                ae = persisted_events.get(auth_event_id) or event_map.get(auth_event_id)
-                if ae:
-                    auth[(ae.type, ae.state_key)] = ae
-                else:
-                    logger.info("Missing auth event %s", auth_event_id)
-
-            event_infos.append(_NewEventInfo(event, None, auth))
-
-        if event_infos:
-            await self._auth_and_persist_events(
-                destination,
-                room_id,
-                event_infos,
-            )
-
-    def _sanity_check_event(self, ev: EventBase) -> None:
-        """
-        Do some early sanity checks of a received event
-
-        In particular, checks it doesn't have an excessive number of
-        prev_events or auth_events, which could cause a huge state resolution
-        or cascade of event fetches.
-
-        Args:
-            ev: event to be checked
-
-        Raises:
-            SynapseError if the event does not pass muster
-        """
-        if len(ev.prev_event_ids()) > 20:
-            logger.warning(
-                "Rejecting event %s which has %i prev_events",
-                ev.event_id,
-                len(ev.prev_event_ids()),
-            )
-            raise SynapseError(HTTPStatus.BAD_REQUEST, "Too many prev_events")
-
-        if len(ev.auth_event_ids()) > 10:
-            logger.warning(
-                "Rejecting event %s which has %i auth_events",
-                ev.event_id,
-                len(ev.auth_event_ids()),
-            )
-            raise SynapseError(HTTPStatus.BAD_REQUEST, "Too many auth_events")
-
     async def send_invite(self, target_host: str, event: EventBase) -> EventBase:
         """Sends the invite to the remote server for signing.
 
@@ -1591,9 +464,9 @@ class FederationHandler(BaseHandler):
         # This shouldn't happen, because the RoomMemberHandler has a
         # linearizer lock which only allows one operation per user per room
         # at a time - so this is just paranoia.
-        assert room_id not in self.room_queues
+        assert room_id not in self._federation_event_handler.room_queues
 
-        self.room_queues[room_id] = []
+        self._federation_event_handler.room_queues[room_id] = []
 
         await self._clean_room_for_join(room_id)
 
@@ -1667,8 +540,8 @@ class FederationHandler(BaseHandler):
             logger.debug("Finished joining %s to %s", joinee, room_id)
             return event.event_id, max_stream_id
         finally:
-            room_queue = self.room_queues[room_id]
-            del self.room_queues[room_id]
+            room_queue = self._federation_event_handler.room_queues[room_id]
+            del self._federation_event_handler.room_queues[room_id]
 
             # we don't need to wait for the queued events to be processed -
             # it's just a best-effort thing at this point. We do want to do
@@ -1744,7 +617,7 @@ class FederationHandler(BaseHandler):
         event.unsigned["knock_room_state"] = stripped_room_state["knock_state_events"]
 
         context = await self.state_handler.compute_event_context(event)
-        stream_id = await self.persist_events_and_notify(
+        stream_id = await self._federation_event_handler.persist_events_and_notify(
             event.room_id, [(event, context)]
         )
         return event.event_id, stream_id
@@ -1764,7 +637,7 @@ class FederationHandler(BaseHandler):
                     p,
                 )
                 with nested_logging_context(p.event_id):
-                    await self.on_receive_pdu(origin, p, sent_to_us_directly=True)
+                    await self._federation_event_handler.on_receive_pdu(origin, p)
             except Exception as e:
                 logger.warning(
                     "Error handling queued PDU %s from %s: %s", p.event_id, origin, e
@@ -1857,7 +730,7 @@ class FederationHandler(BaseHandler):
             raise
 
         # Ensure the user can even join the room.
-        await self._check_join_restrictions(context, event)
+        await self._federation_event_handler.check_join_restrictions(context, event)
 
         # The remote hasn't signed it yet, obviously. We'll do the full checks
         # when we get the event back in `on_send_join_request`
@@ -1934,7 +807,9 @@ class FederationHandler(BaseHandler):
         )
 
         context = await self.state_handler.compute_event_context(event)
-        await self.persist_events_and_notify(event.room_id, [(event, context)])
+        await self._federation_event_handler.persist_events_and_notify(
+            event.room_id, [(event, context)]
+        )
 
         return event
 
@@ -1961,7 +836,7 @@ class FederationHandler(BaseHandler):
         await self.federation_client.send_leave(host_list, event)
 
         context = await self.state_handler.compute_event_context(event)
-        stream_id = await self.persist_events_and_notify(
+        stream_id = await self._federation_event_handler.persist_events_and_notify(
             event.room_id, [(event, context)]
         )
 
@@ -2104,116 +979,6 @@ class FederationHandler(BaseHandler):
 
         return event
 
-    @log_function
-    async def on_send_membership_event(
-        self, origin: str, event: EventBase
-    ) -> Tuple[EventBase, EventContext]:
-        """
-        We have received a join/leave/knock event for a room via send_join/leave/knock.
-
-        Verify that event and send it into the room on the remote homeserver's behalf.
-
-        This is quite similar to on_receive_pdu, with the following principal
-        differences:
-          * only membership events are permitted (and only events with
-            sender==state_key -- ie, no kicks or bans)
-          * *We* send out the event on behalf of the remote server.
-          * We enforce the membership restrictions of restricted rooms.
-          * Rejected events result in an exception rather than being stored.
-
-        There are also other differences, however it is not clear if these are by
-        design or omission. In particular, we do not attempt to backfill any missing
-        prev_events.
-
-        Args:
-            origin: The homeserver of the remote (joining/invited/knocking) user.
-            event: The member event that has been signed by the remote homeserver.
-
-        Returns:
-            The event and context of the event after inserting it into the room graph.
-
-        Raises:
-            SynapseError if the event is not accepted into the room
-        """
-        logger.debug(
-            "on_send_membership_event: Got event: %s, signatures: %s",
-            event.event_id,
-            event.signatures,
-        )
-
-        if get_domain_from_id(event.sender) != origin:
-            logger.info(
-                "Got send_membership request for user %r from different origin %s",
-                event.sender,
-                origin,
-            )
-            raise SynapseError(403, "User not from origin", Codes.FORBIDDEN)
-
-        if event.sender != event.state_key:
-            raise SynapseError(400, "state_key and sender must match", Codes.BAD_JSON)
-
-        assert not event.internal_metadata.outlier
-
-        # Send this event on behalf of the other server.
-        #
-        # The remote server isn't a full participant in the room at this point, so
-        # may not have an up-to-date list of the other homeservers participating in
-        # the room, so we send it on their behalf.
-        event.internal_metadata.send_on_behalf_of = origin
-
-        context = await self.state_handler.compute_event_context(event)
-        context = await self._check_event_auth(origin, event, context)
-        if context.rejected:
-            raise SynapseError(
-                403, f"{event.membership} event was rejected", Codes.FORBIDDEN
-            )
-
-        # for joins, we need to check the restrictions of restricted rooms
-        if event.membership == Membership.JOIN:
-            await self._check_join_restrictions(context, event)
-
-        # for knock events, we run the third-party event rules. It's not entirely clear
-        # why we don't do this for other sorts of membership events.
-        if event.membership == Membership.KNOCK:
-            event_allowed, _ = await self.third_party_event_rules.check_event_allowed(
-                event, context
-            )
-            if not event_allowed:
-                logger.info("Sending of knock %s forbidden by third-party rules", event)
-                raise SynapseError(
-                    403, "This event is not allowed in this context", Codes.FORBIDDEN
-                )
-
-        # all looks good, we can persist the event.
-        await self._run_push_actions_and_persist_event(event, context)
-        return event, context
-
-    async def _check_join_restrictions(
-        self, context: EventContext, event: EventBase
-    ) -> None:
-        """Check that restrictions in restricted join rules are matched
-
-        Called when we receive a join event via send_join.
-
-        Raises an auth error if the restrictions are not matched.
-        """
-        prev_state_ids = await context.get_prev_state_ids()
-
-        # Check if the user is already in the room or invited to the room.
-        user_id = event.state_key
-        prev_member_event_id = prev_state_ids.get((EventTypes.Member, user_id), None)
-        prev_member_event = None
-        if prev_member_event_id:
-            prev_member_event = await self.store.get_event(prev_member_event_id)
-
-        # Check if the member should be allowed access via membership in a space.
-        await self._event_auth_handler.check_restricted_join_rules(
-            prev_state_ids,
-            event.room_version,
-            user_id,
-            prev_member_event,
-        )
-
     async def get_state_for_pdu(self, room_id: str, event_id: str) -> List[EventBase]:
         """Returns the state at the event. i.e. not including said event."""
 
@@ -2314,131 +1079,6 @@ class FederationHandler(BaseHandler):
         else:
             return None
 
-    async def get_min_depth_for_context(self, context: str) -> int:
-        return await self.store.get_min_depth(context)
-
-    async def _auth_and_persist_event(
-        self,
-        origin: str,
-        event: EventBase,
-        context: EventContext,
-        state: Optional[Iterable[EventBase]] = None,
-        claimed_auth_event_map: Optional[StateMap[EventBase]] = None,
-        backfilled: bool = False,
-    ) -> None:
-        """
-        Process an event by performing auth checks and then persisting to the database.
-
-        Args:
-            origin: The host the event originates from.
-            event: The event itself.
-            context:
-                The event context.
-
-            state:
-                The state events used to check the event for soft-fail. If this is
-                not provided the current state events will be used.
-
-            claimed_auth_event_map:
-                A map of (type, state_key) => event for the event's claimed auth_events.
-                Possibly incomplete, and possibly including events that are not yet
-                persisted, or authed, or in the right room.
-
-                Only populated where we may not already have persisted these events -
-                for example, when populating outliers.
-
-            backfilled: True if the event was backfilled.
-        """
-        context = await self._check_event_auth(
-            origin,
-            event,
-            context,
-            state=state,
-            claimed_auth_event_map=claimed_auth_event_map,
-            backfilled=backfilled,
-        )
-
-        await self._run_push_actions_and_persist_event(event, context, backfilled)
-
-    async def _run_push_actions_and_persist_event(
-        self, event: EventBase, context: EventContext, backfilled: bool = False
-    ):
-        """Run the push actions for a received event, and persist it.
-
-        Args:
-            event: The event itself.
-            context: The event context.
-            backfilled: True if the event was backfilled.
-        """
-        try:
-            if (
-                not event.internal_metadata.is_outlier()
-                and not backfilled
-                and not context.rejected
-            ):
-                await self.action_generator.handle_push_actions_for_event(
-                    event, context
-                )
-
-            await self.persist_events_and_notify(
-                event.room_id, [(event, context)], backfilled=backfilled
-            )
-        except Exception:
-            run_in_background(
-                self.store.remove_push_actions_from_staging, event.event_id
-            )
-            raise
-
-    async def _auth_and_persist_events(
-        self,
-        origin: str,
-        room_id: str,
-        event_infos: Collection[_NewEventInfo],
-        backfilled: bool = False,
-    ) -> None:
-        """Creates the appropriate contexts and persists events. The events
-        should not depend on one another, e.g. this should be used to persist
-        a bunch of outliers, but not a chunk of individual events that depend
-        on each other for state calculations.
-
-        Notifies about the events where appropriate.
-        """
-
-        if not event_infos:
-            return
-
-        async def prep(ev_info: _NewEventInfo):
-            event = ev_info.event
-            with nested_logging_context(suffix=event.event_id):
-                res = await self.state_handler.compute_event_context(
-                    event, old_state=ev_info.state
-                )
-                res = await self._check_event_auth(
-                    origin,
-                    event,
-                    res,
-                    state=ev_info.state,
-                    claimed_auth_event_map=ev_info.claimed_auth_event_map,
-                    backfilled=backfilled,
-                )
-            return res
-
-        contexts = await make_deferred_yieldable(
-            defer.gatherResults(
-                [run_in_background(prep, ev_info) for ev_info in event_infos],
-                consumeErrors=True,
-            )
-        )
-
-        await self.persist_events_and_notify(
-            room_id,
-            [
-                (ev_info.event, context)
-                for ev_info, context in zip(event_infos, contexts)
-            ],
-            backfilled=backfilled,
-        )
-
     async def _persist_auth_tree(
         self,
         origin: str,
@@ -2536,7 +1176,7 @@ class FederationHandler(BaseHandler):
                 events_to_context[e.event_id].rejected = RejectedReason.AUTH_ERROR
 
         if auth_events or state:
-            await self.persist_events_and_notify(
+            await self._federation_event_handler.persist_events_and_notify(
                 room_id,
                 [
                     (e, events_to_context[e.event_id])
@@ -2548,108 +1188,10 @@ class FederationHandler(BaseHandler):
             event, old_state=state
         )
 
-        return await self.persist_events_and_notify(
+        return await self._federation_event_handler.persist_events_and_notify(
             room_id, [(event, new_event_context)]
         )
 
-    async def _check_for_soft_fail(
-        self,
-        event: EventBase,
-        state: Optional[Iterable[EventBase]],
-        backfilled: bool,
-        origin: str,
-    ) -> None:
-        """Checks if we should soft fail the event; if so, marks the event as
-        such.
-
-        Args:
-            event
-            state: The state at the event if we don't have all the event's prev events
-            backfilled: Whether the event is from backfill
-            origin: The host the event originates from.
-        """
-        # For new (non-backfilled and non-outlier) events we check if the event
-        # passes auth based on the current state. If it doesn't then we
-        # "soft-fail" the event.
-        if backfilled or event.internal_metadata.is_outlier():
-            return
-
-        extrem_ids_list = await self.store.get_latest_event_ids_in_room(event.room_id)
-        extrem_ids = set(extrem_ids_list)
-        prev_event_ids = set(event.prev_event_ids())
-
-        if extrem_ids == prev_event_ids:
-            # If they're the same then the current state is the same as the
-            # state at the event, so no point rechecking auth for soft fail.
-            return
-
-        room_version = await self.store.get_room_version_id(event.room_id)
-        room_version_obj = KNOWN_ROOM_VERSIONS[room_version]
-
-        # Calculate the "current state".
-        if state is not None:
-            # If we're explicitly given the state then we won't have all the
-            # prev events, and so we have a gap in the graph. In this case
-            # we want to be a little careful as we might have been down for
-            # a while and have an incorrect view of the current state,
-            # however we still want to do checks as gaps are easy to
-            # maliciously manufacture.
-            #
-            # So we use a "current state" that is actually a state
-            # resolution across the current forward extremities and the
-            # given state at the event. This should correctly handle cases
-            # like bans, especially with state res v2.
-
-            state_sets_d = await self.state_store.get_state_groups(
-                event.room_id, extrem_ids
-            )
-            state_sets: List[Iterable[EventBase]] = list(state_sets_d.values())
-            state_sets.append(state)
-            current_states = await self.state_handler.resolve_events(
-                room_version, state_sets, event
-            )
-            current_state_ids: StateMap[str] = {
-                k: e.event_id for k, e in current_states.items()
-            }
-        else:
-            current_state_ids = await self.state_handler.get_current_state_ids(
-                event.room_id, latest_event_ids=extrem_ids
-            )
-
-        logger.debug(
-            "Doing soft-fail check for %s: state %s",
-            event.event_id,
-            current_state_ids,
-        )
-
-        # Now check if event pass auth against said current state
-        auth_types = auth_types_for_event(room_version_obj, event)
-        current_state_ids_list = [
-            e for k, e in current_state_ids.items() if k in auth_types
-        ]
-
-        auth_events_map = await self.store.get_events(current_state_ids_list)
-        current_auth_events = {
-            (e.type, e.state_key): e for e in auth_events_map.values()
-        }
-
-        try:
-            event_auth.check(room_version_obj, event, auth_events=current_auth_events)
-        except AuthError as e:
-            logger.warning(
-                "Soft-failing %r (from %s) because %s",
-                event,
-                e,
-                origin,
-                extra={
-                    "room_id": event.room_id,
-                    "mxid": event.sender,
-                    "hs": origin,
-                },
-            )
-            soft_failed_event_counter.inc()
-            event.internal_metadata.soft_failed = True
-
     async def on_get_missing_events(
         self,
         origin: str,
@@ -2678,334 +1220,6 @@ class FederationHandler(BaseHandler):
 
         return missing_events
 
-    async def _check_event_auth(
-        self,
-        origin: str,
-        event: EventBase,
-        context: EventContext,
-        state: Optional[Iterable[EventBase]] = None,
-        claimed_auth_event_map: Optional[StateMap[EventBase]] = None,
-        backfilled: bool = False,
-    ) -> EventContext:
-        """
-        Checks whether an event should be rejected (for failing auth checks).
-
-        Args:
-            origin: The host the event originates from.
-            event: The event itself.
-            context:
-                The event context.
-
-            state:
-                The state events used to check the event for soft-fail. If this is
-                not provided the current state events will be used.
-
-            claimed_auth_event_map:
-                A map of (type, state_key) => event for the event's claimed auth_events.
-                Possibly incomplete, and possibly including events that are not yet
-                persisted, or authed, or in the right room.
-
-                Only populated where we may not already have persisted these events -
-                for example, when populating outliers, or the state for a backwards
-                extremity.
-
-            backfilled: True if the event was backfilled.
-
-        Returns:
-            The updated context object.
-        """
-        room_version = await self.store.get_room_version_id(event.room_id)
-        room_version_obj = KNOWN_ROOM_VERSIONS[room_version]
-
-        if claimed_auth_event_map:
-            # if we have a copy of the auth events from the event, use that as the
-            # basis for auth.
-            auth_events = claimed_auth_event_map
-        else:
-            # otherwise, we calculate what the auth events *should* be, and use that
-            prev_state_ids = await context.get_prev_state_ids()
-            auth_events_ids = self._event_auth_handler.compute_auth_events(
-                event, prev_state_ids, for_verification=True
-            )
-            auth_events_x = await self.store.get_events(auth_events_ids)
-            auth_events = {(e.type, e.state_key): e for e in auth_events_x.values()}
-
-        try:
-            (
-                context,
-                auth_events_for_auth,
-            ) = await self._update_auth_events_and_context_for_auth(
-                origin, event, context, auth_events
-            )
-        except Exception:
-            # We don't really mind if the above fails, so lets not fail
-            # processing if it does. However, it really shouldn't fail so
-            # let's still log as an exception since we'll still want to fix
-            # any bugs.
-            logger.exception(
-                "Failed to double check auth events for %s with remote. "
-                "Ignoring failure and continuing processing of event.",
-                event.event_id,
-            )
-            auth_events_for_auth = auth_events
-
-        try:
-            event_auth.check(room_version_obj, event, auth_events=auth_events_for_auth)
-        except AuthError as e:
-            logger.warning("Failed auth resolution for %r because %s", event, e)
-            context.rejected = RejectedReason.AUTH_ERROR
-
-        if not context.rejected:
-            await self._check_for_soft_fail(event, state, backfilled, origin=origin)
-
-        if event.type == EventTypes.GuestAccess and not context.rejected:
-            await self.maybe_kick_guest_users(event)
-
-        # If we are going to send this event over federation we precaclculate
-        # the joined hosts.
-        if event.internal_metadata.get_send_on_behalf_of():
-            await self.event_creation_handler.cache_joined_hosts_for_event(
-                event, context
-            )
-
-        return context
-
-    async def _update_auth_events_and_context_for_auth(
-        self,
-        origin: str,
-        event: EventBase,
-        context: EventContext,
-        input_auth_events: StateMap[EventBase],
-    ) -> Tuple[EventContext, StateMap[EventBase]]:
-        """Helper for _check_event_auth. See there for docs.
-
-        Checks whether a given event has the expected auth events. If it
-        doesn't then we talk to the remote server to compare state to see if
-        we can come to a consensus (e.g. if one server missed some valid
-        state).
-
-        This attempts to resolve any potential divergence of state between
-        servers, but is not essential and so failures should not block further
-        processing of the event.
-
-        Args:
-            origin:
-            event:
-            context:
-
-            input_auth_events:
-                Map from (event_type, state_key) to event
-
-                Normally, our calculated auth_events based on the state of the room
-                at the event's position in the DAG, though occasionally (eg if the
-                event is an outlier), may be the auth events claimed by the remote
-                server.
-
-        Returns:
-            updated context, updated auth event map
-        """
-        # take a copy of input_auth_events before we modify it.
-        auth_events: MutableStateMap[EventBase] = dict(input_auth_events)
-
-        event_auth_events = set(event.auth_event_ids())
-
-        # missing_auth is the set of the event's auth_events which we don't yet have
-        # in auth_events.
-        missing_auth = event_auth_events.difference(
-            e.event_id for e in auth_events.values()
-        )
-
-        # if we have missing events, we need to fetch those events from somewhere.
-        #
-        # we start by checking if they are in the store, and then try calling /event_auth/.
-        if missing_auth:
-            have_events = await self.store.have_seen_events(event.room_id, missing_auth)
-            logger.debug("Events %s are in the store", have_events)
-            missing_auth.difference_update(have_events)
-
-        if missing_auth:
-            # If we don't have all the auth events, we need to get them.
-            logger.info("auth_events contains unknown events: %s", missing_auth)
-            try:
-                try:
-                    remote_auth_chain = await self.federation_client.get_event_auth(
-                        origin, event.room_id, event.event_id
-                    )
-                except RequestSendFailed as e1:
-                    # The other side isn't around or doesn't implement the
-                    # endpoint, so lets just bail out.
-                    logger.info("Failed to get event auth from remote: %s", e1)
-                    return context, auth_events
-
-                seen_remotes = await self.store.have_seen_events(
-                    event.room_id, [e.event_id for e in remote_auth_chain]
-                )
-
-                for e in remote_auth_chain:
-                    if e.event_id in seen_remotes:
-                        continue
-
-                    if e.event_id == event.event_id:
-                        continue
-
-                    try:
-                        auth_ids = e.auth_event_ids()
-                        auth = {
-                            (e.type, e.state_key): e
-                            for e in remote_auth_chain
-                            if e.event_id in auth_ids or e.type == EventTypes.Create
-                        }
-                        e.internal_metadata.outlier = True
-
-                        logger.debug(
-                            "_check_event_auth %s missing_auth: %s",
-                            event.event_id,
-                            e.event_id,
-                        )
-                        missing_auth_event_context = (
-                            await self.state_handler.compute_event_context(e)
-                        )
-                        await self._auth_and_persist_event(
-                            origin,
-                            e,
-                            missing_auth_event_context,
-                            claimed_auth_event_map=auth,
-                        )
-
-                        if e.event_id in event_auth_events:
-                            auth_events[(e.type, e.state_key)] = e
-                    except AuthError:
-                        pass
-
-            except Exception:
-                logger.exception("Failed to get auth chain")
-
-        if event.internal_metadata.is_outlier():
-            # XXX: given that, for an outlier, we'll be working with the
-            # event's *claimed* auth events rather than those we calculated:
-            # (a) is there any point in this test, since different_auth below will
-            # obviously be empty
-            # (b) alternatively, why don't we do it earlier?
-            logger.info("Skipping auth_event fetch for outlier")
-            return context, auth_events
-
-        different_auth = event_auth_events.difference(
-            e.event_id for e in auth_events.values()
-        )
-
-        if not different_auth:
-            return context, auth_events
-
-        logger.info(
-            "auth_events refers to events which are not in our calculated auth "
-            "chain: %s",
-            different_auth,
-        )
-
-        # XXX: currently this checks for redactions but I'm not convinced that is
-        # necessary?
-        different_events = await self.store.get_events_as_list(different_auth)
-
-        for d in different_events:
-            if d.room_id != event.room_id:
-                logger.warning(
-                    "Event %s refers to auth_event %s which is in a different room",
-                    event.event_id,
-                    d.event_id,
-                )
-
-                # don't attempt to resolve the claimed auth events against our own
-                # in this case: just use our own auth events.
-                #
-                # XXX: should we reject the event in this case? It feels like we should,
-                # but then shouldn't we also do so if we've failed to fetch any of the
-                # auth events?
-                return context, auth_events
-
-        # now we state-resolve between our own idea of the auth events, and the remote's
-        # idea of them.
-
-        local_state = auth_events.values()
-        remote_auth_events = dict(auth_events)
-        remote_auth_events.update({(d.type, d.state_key): d for d in different_events})
-        remote_state = remote_auth_events.values()
-
-        room_version = await self.store.get_room_version_id(event.room_id)
-        new_state = await self.state_handler.resolve_events(
-            room_version, (local_state, remote_state), event
-        )
-
-        logger.info(
-            "After state res: updating auth_events with new state %s",
-            {
-                (d.type, d.state_key): d.event_id
-                for d in new_state.values()
-                if auth_events.get((d.type, d.state_key)) != d
-            },
-        )
-
-        auth_events.update(new_state)
-
-        context = await self._update_context_for_auth_events(
-            event, context, auth_events
-        )
-
-        return context, auth_events
-
-    async def _update_context_for_auth_events(
-        self, event: EventBase, context: EventContext, auth_events: StateMap[EventBase]
-    ) -> EventContext:
-        """Update the state_ids in an event context after auth event resolution,
-        storing the changes as a new state group.
-
-        Args:
-            event: The event we're handling the context for
-
-            context: initial event context
-
-            auth_events: Events to update in the event context.
-
-        Returns:
-            new event context
-        """
-        # exclude the state key of the new event from the current_state in the context.
-        if event.is_state():
-            event_key: Optional[Tuple[str, str]] = (event.type, event.state_key)
-        else:
-            event_key = None
-        state_updates = {
-            k: a.event_id for k, a in auth_events.items() if k != event_key
-        }
-
-        current_state_ids = await context.get_current_state_ids()
-        current_state_ids = dict(current_state_ids)  # type: ignore
-
-        current_state_ids.update(state_updates)
-
-        prev_state_ids = await context.get_prev_state_ids()
-        prev_state_ids = dict(prev_state_ids)
-
-        prev_state_ids.update({k: a.event_id for k, a in auth_events.items()})
-
-        # create a new state group as a delta from the existing one.
-        prev_group = context.state_group
-        state_group = await self.state_store.store_state_group(
-            event.event_id,
-            event.room_id,
-            prev_group=prev_group,
-            delta_ids=state_updates,
-            current_state_ids=current_state_ids,
-        )
-
-        return EventContext.with_state(
-            state_group=state_group,
-            state_group_before_event=context.state_group_before_event,
-            current_state_ids=current_state_ids,
-            prev_state_ids=prev_state_ids,
-            prev_group=prev_group,
-            delta_ids=state_updates,
-        )
-
     async def construct_auth_difference(
         self, local_auth: Iterable[EventBase], remote_auth: Iterable[EventBase]
     ) -> Dict:
@@ -3392,99 +1606,6 @@ class FederationHandler(BaseHandler):
         if "valid" not in response or not response["valid"]:
             raise AuthError(403, "Third party certificate was invalid")
 
-    async def persist_events_and_notify(
-        self,
-        room_id: str,
-        event_and_contexts: Sequence[Tuple[EventBase, EventContext]],
-        backfilled: bool = False,
-    ) -> int:
-        """Persists events and tells the notifier/pushers about them, if
-        necessary.
-
-        Args:
-            room_id: The room ID of events being persisted.
-            event_and_contexts: Sequence of events with their associated
-                context that should be persisted. All events must belong to
-                the same room.
-            backfilled: Whether these events are a result of
-                backfilling or not
-
-        Returns:
-            The stream ID after which all events have been persisted.
-        """
-        if not event_and_contexts:
-            return self.store.get_current_events_token()
-
-        instance = self.config.worker.events_shard_config.get_instance(room_id)
-        if instance != self._instance_name:
-            # Limit the number of events sent over replication. We choose 200
-            # here as that is what we default to in `max_request_body_size(..)`
-            for batch in batch_iter(event_and_contexts, 200):
-                result = await self._send_events(
-                    instance_name=instance,
-                    store=self.store,
-                    room_id=room_id,
-                    event_and_contexts=batch,
-                    backfilled=backfilled,
-                )
-            return result["max_stream_id"]
-        else:
-            assert self.storage.persistence
-
-            # Note that this returns the events that were persisted, which may not be
-            # the same as were passed in if some were deduplicated due to transaction IDs.
-            events, max_stream_token = await self.storage.persistence.persist_events(
-                event_and_contexts, backfilled=backfilled
-            )
-
-            if self._ephemeral_messages_enabled:
-                for event in events:
-                    # If there's an expiry timestamp on the event, schedule its expiry.
-                    self._message_handler.maybe_schedule_expiry(event)
-
-            if not backfilled:  # Never notify for backfilled events
-                for event in events:
-                    await self._notify_persisted_event(event, max_stream_token)
-
-            return max_stream_token.stream
-
-    async def _notify_persisted_event(
-        self, event: EventBase, max_stream_token: RoomStreamToken
-    ) -> None:
-        """Checks to see if notifier/pushers should be notified about the
-        event or not.
-
-        Args:
-            event:
-            max_stream_id: The max_stream_id returned by persist_events
-        """
-
-        extra_users = []
-        if event.type == EventTypes.Member:
-            target_user_id = event.state_key
-
-            # We notify for memberships if its an invite for one of our
-            # users
-            if event.internal_metadata.is_outlier():
-                if event.membership != Membership.INVITE:
-                    if not self.is_mine_id(target_user_id):
-                        return
-
-            target_user = UserID.from_string(target_user_id)
-            extra_users.append(target_user)
-        elif event.internal_metadata.is_outlier():
-            return
-
-        # the event has been persisted so it should have a stream ordering.
-        assert event.internal_metadata.stream_ordering
-
-        event_pos = PersistedEventPosition(
-            self._instance_name, event.internal_metadata.stream_ordering
-        )
-        self.notifier.on_new_room_event(
-            event, event_pos, max_stream_token, extra_users=extra_users
-        )
-
     async def _clean_room_for_join(self, room_id: str) -> None:
         """Called to clean up any data in DB for a given room, ready for the
         server to join the room.
diff --git a/synapse/handlers/federation_event.py b/synapse/handlers/federation_event.py
new file mode 100644
index 0000000000..9f055f00cf
--- /dev/null
+++ b/synapse/handlers/federation_event.py
@@ -0,0 +1,1825 @@
+# Copyright 2021 The Matrix.org Foundation C.I.C.
+#
+# Licensed under the Apache License, Version 2.0 (the "License");
+# you may not use this file except in compliance with the License.
+# You may obtain a copy of the License at
+#
+#     http://www.apache.org/licenses/LICENSE-2.0
+#
+# Unless required by applicable law or agreed to in writing, software
+# distributed under the License is distributed on an "AS IS" BASIS,
+# WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+# See the License for the specific language governing permissions and
+# limitations under the License.
+
+import logging
+from http import HTTPStatus
+from typing import (
+    TYPE_CHECKING,
+    Collection,
+    Container,
+    Dict,
+    Iterable,
+    List,
+    Optional,
+    Sequence,
+    Set,
+    Tuple,
+)
+
+import attr
+from prometheus_client import Counter
+
+from twisted.internet import defer
+
+from synapse import event_auth
+from synapse.api.constants import (
+    EventContentFields,
+    EventTypes,
+    Membership,
+    RejectedReason,
+    RoomEncryptionAlgorithms,
+)
+from synapse.api.errors import (
+    AuthError,
+    Codes,
+    FederationError,
+    HttpResponseException,
+    RequestSendFailed,
+    SynapseError,
+)
+from synapse.api.room_versions import KNOWN_ROOM_VERSIONS
+from synapse.event_auth import auth_types_for_event
+from synapse.events import EventBase
+from synapse.events.snapshot import EventContext
+from synapse.federation.federation_client import InvalidResponseError
+from synapse.handlers._base import BaseHandler
+from synapse.logging.context import (
+    make_deferred_yieldable,
+    nested_logging_context,
+    run_in_background,
+)
+from synapse.logging.utils import log_function
+from synapse.metrics.background_process_metrics import run_as_background_process
+from synapse.replication.http.devices import ReplicationUserDevicesResyncRestServlet
+from synapse.replication.http.federation import (
+    ReplicationFederationSendEventsRestServlet,
+)
+from synapse.state import StateResolutionStore
+from synapse.storage.databases.main.events_worker import EventRedactBehaviour
+from synapse.types import (
+    MutableStateMap,
+    PersistedEventPosition,
+    RoomStreamToken,
+    StateMap,
+    UserID,
+    get_domain_from_id,
+)
+from synapse.util.async_helpers import Linearizer, concurrently_execute
+from synapse.util.iterutils import batch_iter
+from synapse.util.retryutils import NotRetryingDestination
+from synapse.util.stringutils import shortstr
+
+if TYPE_CHECKING:
+    from synapse.server import HomeServer
+
+
+logger = logging.getLogger(__name__)
+
+soft_failed_event_counter = Counter(
+    "synapse_federation_soft_failed_events_total",
+    "Events received over federation that we marked as soft_failed",
+)
+
+
+@attr.s(slots=True, frozen=True, auto_attribs=True)
+class _NewEventInfo:
+    """Holds information about a received event, ready for passing to _auth_and_persist_events
+
+    Attributes:
+        event: the received event
+
+        claimed_auth_event_map: a map of (type, state_key) => event for the event's
+            claimed auth_events.
+
+            This can include events which have not yet been persisted, in the case that
+            we are backfilling a batch of events.
+
+            Note: May be incomplete: if we were unable to find all of the claimed auth
+            events. Also, treat the contents with caution: the events might also have
+            been rejected, might not yet have been authorized themselves, or they might
+            be in the wrong room.
+
+    """
+
+    event: EventBase
+    claimed_auth_event_map: StateMap[EventBase]
+
+
+class FederationEventHandler(BaseHandler):
+    """Handles events that originated from federation.
+
+    Responsible for handing incoming events and passing them on to the rest
+    of the homeserver (including auth and state conflict resolutions)
+    """
+
+    def __init__(self, hs: "HomeServer"):
+        super().__init__(hs)
+
+        self.store = hs.get_datastore()
+        self.storage = hs.get_storage()
+        self.state_store = self.storage.state
+
+        self.state_handler = hs.get_state_handler()
+        self.event_creation_handler = hs.get_event_creation_handler()
+        self._event_auth_handler = hs.get_event_auth_handler()
+        self._message_handler = hs.get_message_handler()
+        self.action_generator = hs.get_action_generator()
+        self._state_resolution_handler = hs.get_state_resolution_handler()
+
+        self.federation_client = hs.get_federation_client()
+        self.third_party_event_rules = hs.get_third_party_event_rules()
+
+        self.is_mine_id = hs.is_mine_id
+        self._instance_name = hs.get_instance_name()
+
+        self.config = hs.config
+        self._ephemeral_messages_enabled = hs.config.server.enable_ephemeral_messages
+
+        self._send_events = ReplicationFederationSendEventsRestServlet.make_client(hs)
+        if hs.config.worker_app:
+            self._user_device_resync = (
+                ReplicationUserDevicesResyncRestServlet.make_client(hs)
+            )
+        else:
+            self._device_list_updater = hs.get_device_handler().device_list_updater
+
+        # When joining a room we need to queue any events for that room up.
+        # For each room, a list of (pdu, origin) tuples.
+        # TODO: replace this with something more elegant, probably based around the
+        # federation event staging area.
+        self.room_queues: Dict[str, List[Tuple[EventBase, str]]] = {}
+
+        self._room_pdu_linearizer = Linearizer("fed_room_pdu")
+
+    async def on_receive_pdu(self, origin: str, pdu: EventBase) -> None:
+        """Process a PDU received via a federation /send/ transaction
+
+        Args:
+            origin: server which initiated the /send/ transaction. Will
+                be used to fetch missing events or state.
+            pdu: received PDU
+        """
+
+        room_id = pdu.room_id
+        event_id = pdu.event_id
+
+        # We reprocess pdus when we have seen them only as outliers
+        existing = await self.store.get_event(
+            event_id, allow_none=True, allow_rejected=True
+        )
+
+        # FIXME: Currently we fetch an event again when we already have it
+        # if it has been marked as an outlier.
+        if existing:
+            if not existing.internal_metadata.is_outlier():
+                logger.info(
+                    "Ignoring received event %s which we have already seen", event_id
+                )
+                return
+            if pdu.internal_metadata.is_outlier():
+                logger.info(
+                    "Ignoring received outlier %s which we already have as an outlier",
+                    event_id,
+                )
+                return
+            logger.info("De-outliering event %s", event_id)
+
+        # do some initial sanity-checking of the event. In particular, make
+        # sure it doesn't have hundreds of prev_events or auth_events, which
+        # could cause a huge state resolution or cascade of event fetches.
+        try:
+            self._sanity_check_event(pdu)
+        except SynapseError as err:
+            logger.warning("Received event failed sanity checks")
+            raise FederationError("ERROR", err.code, err.msg, affected=pdu.event_id)
+
+        # If we are currently in the process of joining this room, then we
+        # queue up events for later processing.
+        if room_id in self.room_queues:
+            logger.info(
+                "Queuing PDU from %s for now: join in progress",
+                origin,
+            )
+            self.room_queues[room_id].append((pdu, origin))
+            return
+
+        # If we're not in the room just ditch the event entirely. This is
+        # probably an old server that has come back and thinks we're still in
+        # the room (or we've been rejoined to the room by a state reset).
+        #
+        # Note that if we were never in the room then we would have already
+        # dropped the event, since we wouldn't know the room version.
+        is_in_room = await self._event_auth_handler.check_host_in_room(
+            room_id, self.server_name
+        )
+        if not is_in_room:
+            logger.info(
+                "Ignoring PDU from %s as we're not in the room",
+                origin,
+            )
+            return None
+
+        # Check that the event passes auth based on the state at the event. This is
+        # done for events that are to be added to the timeline (non-outliers).
+        #
+        # Get missing pdus if necessary:
+        #  - Fetching any missing prev events to fill in gaps in the graph
+        #  - Fetching state if we have a hole in the graph
+        if not pdu.internal_metadata.is_outlier():
+            prevs = set(pdu.prev_event_ids())
+            seen = await self.store.have_events_in_timeline(prevs)
+            missing_prevs = prevs - seen
+
+            if missing_prevs:
+                # We only backfill backwards to the min depth.
+                min_depth = await self.get_min_depth_for_context(pdu.room_id)
+                logger.debug("min_depth: %d", min_depth)
+
+                if min_depth is not None and pdu.depth > min_depth:
+                    # If we're missing stuff, ensure we only fetch stuff one
+                    # at a time.
+                    logger.info(
+                        "Acquiring room lock to fetch %d missing prev_events: %s",
+                        len(missing_prevs),
+                        shortstr(missing_prevs),
+                    )
+                    with (await self._room_pdu_linearizer.queue(pdu.room_id)):
+                        logger.info(
+                            "Acquired room lock to fetch %d missing prev_events",
+                            len(missing_prevs),
+                        )
+
+                        try:
+                            await self._get_missing_events_for_pdu(
+                                origin, pdu, prevs, min_depth
+                            )
+                        except Exception as e:
+                            raise Exception(
+                                "Error fetching missing prev_events for %s: %s"
+                                % (event_id, e)
+                            ) from e
+
+                    # Update the set of things we've seen after trying to
+                    # fetch the missing stuff
+                    seen = await self.store.have_events_in_timeline(prevs)
+                    missing_prevs = prevs - seen
+
+                    if not missing_prevs:
+                        logger.info("Found all missing prev_events")
+
+                if missing_prevs:
+                    # since this event was pushed to us, it is possible for it to
+                    # become the only forward-extremity in the room, and we would then
+                    # trust its state to be the state for the whole room. This is very
+                    # bad. Further, if the event was pushed to us, there is no excuse
+                    # for us not to have all the prev_events. (XXX: apart from
+                    # min_depth?)
+                    #
+                    # We therefore reject any such events.
+                    logger.warning(
+                        "Rejecting: failed to fetch %d prev events: %s",
+                        len(missing_prevs),
+                        shortstr(missing_prevs),
+                    )
+                    raise FederationError(
+                        "ERROR",
+                        403,
+                        (
+                            "Your server isn't divulging details about prev_events "
+                            "referenced in this event."
+                        ),
+                        affected=pdu.event_id,
+                    )
+
+        await self._process_received_pdu(origin, pdu, state=None)
+
+    @log_function
+    async def on_send_membership_event(
+        self, origin: str, event: EventBase
+    ) -> Tuple[EventBase, EventContext]:
+        """
+        We have received a join/leave/knock event for a room via send_join/leave/knock.
+
+        Verify that event and send it into the room on the remote homeserver's behalf.
+
+        This is quite similar to on_receive_pdu, with the following principal
+        differences:
+          * only membership events are permitted (and only events with
+            sender==state_key -- ie, no kicks or bans)
+          * *We* send out the event on behalf of the remote server.
+          * We enforce the membership restrictions of restricted rooms.
+          * Rejected events result in an exception rather than being stored.
+
+        There are also other differences, however it is not clear if these are by
+        design or omission. In particular, we do not attempt to backfill any missing
+        prev_events.
+
+        Args:
+            origin: The homeserver of the remote (joining/invited/knocking) user.
+            event: The member event that has been signed by the remote homeserver.
+
+        Returns:
+            The event and context of the event after inserting it into the room graph.
+
+        Raises:
+            SynapseError if the event is not accepted into the room
+        """
+        logger.debug(
+            "on_send_membership_event: Got event: %s, signatures: %s",
+            event.event_id,
+            event.signatures,
+        )
+
+        if get_domain_from_id(event.sender) != origin:
+            logger.info(
+                "Got send_membership request for user %r from different origin %s",
+                event.sender,
+                origin,
+            )
+            raise SynapseError(403, "User not from origin", Codes.FORBIDDEN)
+
+        if event.sender != event.state_key:
+            raise SynapseError(400, "state_key and sender must match", Codes.BAD_JSON)
+
+        assert not event.internal_metadata.outlier
+
+        # Send this event on behalf of the other server.
+        #
+        # The remote server isn't a full participant in the room at this point, so
+        # may not have an up-to-date list of the other homeservers participating in
+        # the room, so we send it on their behalf.
+        event.internal_metadata.send_on_behalf_of = origin
+
+        context = await self.state_handler.compute_event_context(event)
+        context = await self._check_event_auth(origin, event, context)
+        if context.rejected:
+            raise SynapseError(
+                403, f"{event.membership} event was rejected", Codes.FORBIDDEN
+            )
+
+        # for joins, we need to check the restrictions of restricted rooms
+        if event.membership == Membership.JOIN:
+            await self.check_join_restrictions(context, event)
+
+        # for knock events, we run the third-party event rules. It's not entirely clear
+        # why we don't do this for other sorts of membership events.
+        if event.membership == Membership.KNOCK:
+            event_allowed, _ = await self.third_party_event_rules.check_event_allowed(
+                event, context
+            )
+            if not event_allowed:
+                logger.info("Sending of knock %s forbidden by third-party rules", event)
+                raise SynapseError(
+                    403, "This event is not allowed in this context", Codes.FORBIDDEN
+                )
+
+        # all looks good, we can persist the event.
+        await self._run_push_actions_and_persist_event(event, context)
+        return event, context
+
+    async def check_join_restrictions(
+        self, context: EventContext, event: EventBase
+    ) -> None:
+        """Check that restrictions in restricted join rules are matched
+
+        Called when we receive a join event via send_join.
+
+        Raises an auth error if the restrictions are not matched.
+        """
+        prev_state_ids = await context.get_prev_state_ids()
+
+        # Check if the user is already in the room or invited to the room.
+        user_id = event.state_key
+        prev_member_event_id = prev_state_ids.get((EventTypes.Member, user_id), None)
+        prev_member_event = None
+        if prev_member_event_id:
+            prev_member_event = await self.store.get_event(prev_member_event_id)
+
+        # Check if the member should be allowed access via membership in a space.
+        await self._event_auth_handler.check_restricted_join_rules(
+            prev_state_ids,
+            event.room_version,
+            user_id,
+            prev_member_event,
+        )
+
+    @log_function
+    async def backfill(
+        self, dest: str, room_id: str, limit: int, extremities: List[str]
+    ) -> None:
+        """Trigger a backfill request to `dest` for the given `room_id`
+
+        This will attempt to get more events from the remote. If the other side
+        has no new events to offer, this will return an empty list.
+
+        As the events are received, we check their signatures, and also do some
+        sanity-checking on them. If any of the backfilled events are invalid,
+        this method throws a SynapseError.
+
+        We might also raise an InvalidResponseError if the response from the remote
+        server is just bogus.
+
+        TODO: make this more useful to distinguish failures of the remote
+        server from invalid events (there is probably no point in trying to
+        re-fetch invalid events from every other HS in the room.)
+        """
+        if dest == self.server_name:
+            raise SynapseError(400, "Can't backfill from self.")
+
+        events = await self.federation_client.backfill(
+            dest, room_id, limit=limit, extremities=extremities
+        )
+
+        if not events:
+            return
+
+        # if there are any events in the wrong room, the remote server is buggy and
+        # should not be trusted.
+        for ev in events:
+            if ev.room_id != room_id:
+                raise InvalidResponseError(
+                    f"Remote server {dest} returned event {ev.event_id} which is in "
+                    f"room {ev.room_id}, when we were backfilling in {room_id}"
+                )
+
+        await self._process_pulled_events(dest, events, backfilled=True)
+
+    async def _get_missing_events_for_pdu(
+        self, origin: str, pdu: EventBase, prevs: Set[str], min_depth: int
+    ) -> None:
+        """
+        Args:
+            origin: Origin of the pdu. Will be called to get the missing events
+            pdu: received pdu
+            prevs: List of event ids which we are missing
+            min_depth: Minimum depth of events to return.
+        """
+
+        room_id = pdu.room_id
+        event_id = pdu.event_id
+
+        seen = await self.store.have_events_in_timeline(prevs)
+
+        if not prevs - seen:
+            return
+
+        latest_list = await self.store.get_latest_event_ids_in_room(room_id)
+
+        # We add the prev events that we have seen to the latest
+        # list to ensure the remote server doesn't give them to us
+        latest = set(latest_list)
+        latest |= seen
+
+        logger.info(
+            "Requesting missing events between %s and %s",
+            shortstr(latest),
+            event_id,
+        )
+
+        # XXX: we set timeout to 10s to help workaround
+        # https://github.com/matrix-org/synapse/issues/1733.
+        # The reason is to avoid holding the linearizer lock
+        # whilst processing inbound /send transactions, causing
+        # FDs to stack up and block other inbound transactions
+        # which empirically can currently take up to 30 minutes.
+        #
+        # N.B. this explicitly disables retry attempts.
+        #
+        # N.B. this also increases our chances of falling back to
+        # fetching fresh state for the room if the missing event
+        # can't be found, which slightly reduces our security.
+        # it may also increase our DAG extremity count for the room,
+        # causing additional state resolution?  See #1760.
+        # However, fetching state doesn't hold the linearizer lock
+        # apparently.
+        #
+        # see https://github.com/matrix-org/synapse/pull/1744
+        #
+        # ----
+        #
+        # Update richvdh 2018/09/18: There are a number of problems with timing this
+        # request out aggressively on the client side:
+        #
+        # - it plays badly with the server-side rate-limiter, which starts tarpitting you
+        #   if you send too many requests at once, so you end up with the server carefully
+        #   working through the backlog of your requests, which you have already timed
+        #   out.
+        #
+        # - for this request in particular, we now (as of
+        #   https://github.com/matrix-org/synapse/pull/3456) reject any PDUs where the
+        #   server can't produce a plausible-looking set of prev_events - so we becone
+        #   much more likely to reject the event.
+        #
+        # - contrary to what it says above, we do *not* fall back to fetching fresh state
+        #   for the room if get_missing_events times out. Rather, we give up processing
+        #   the PDU whose prevs we are missing, which then makes it much more likely that
+        #   we'll end up back here for the *next* PDU in the list, which exacerbates the
+        #   problem.
+        #
+        # - the aggressive 10s timeout was introduced to deal with incoming federation
+        #   requests taking 8 hours to process. It's not entirely clear why that was going
+        #   on; certainly there were other issues causing traffic storms which are now
+        #   resolved, and I think in any case we may be more sensible about our locking
+        #   now. We're *certainly* more sensible about our logging.
+        #
+        # All that said: Let's try increasing the timeout to 60s and see what happens.
+
+        try:
+            missing_events = await self.federation_client.get_missing_events(
+                origin,
+                room_id,
+                earliest_events_ids=list(latest),
+                latest_events=[pdu],
+                limit=10,
+                min_depth=min_depth,
+                timeout=60000,
+            )
+        except (RequestSendFailed, HttpResponseException, NotRetryingDestination) as e:
+            # We failed to get the missing events, but since we need to handle
+            # the case of `get_missing_events` not returning the necessary
+            # events anyway, it is safe to simply log the error and continue.
+            logger.warning("Failed to get prev_events: %s", e)
+            return
+
+        logger.info("Got %d prev_events", len(missing_events))
+        await self._process_pulled_events(origin, missing_events, backfilled=False)
+
+    async def _process_pulled_events(
+        self, origin: str, events: Iterable[EventBase], backfilled: bool
+    ) -> None:
+        """Process a batch of events we have pulled from a remote server
+
+        Pulls in any events required to auth the events, persists the received events,
+        and notifies clients, if appropriate.
+
+        Assumes the events have already had their signatures and hashes checked.
+
+        Params:
+            origin: The server we received these events from
+            events: The received events.
+            backfilled: True if this is part of a historical batch of events (inhibits
+                notification to clients, and validation of device keys.)
+        """
+
+        # We want to sort these by depth so we process them and
+        # tell clients about them in order.
+        sorted_events = sorted(events, key=lambda x: x.depth)
+
+        for ev in sorted_events:
+            with nested_logging_context(ev.event_id):
+                await self._process_pulled_event(origin, ev, backfilled=backfilled)
+
+    async def _process_pulled_event(
+        self, origin: str, event: EventBase, backfilled: bool
+    ) -> None:
+        """Process a single event that we have pulled from a remote server
+
+        Pulls in any events required to auth the event, persists the received event,
+        and notifies clients, if appropriate.
+
+        Assumes the event has already had its signatures and hashes checked.
+
+        This is somewhat equivalent to on_receive_pdu, but applies somewhat different
+        logic in the case that we are missing prev_events (in particular, it just
+        requests the state at that point, rather than triggering a get_missing_events) -
+        so is appropriate when we have pulled the event from a remote server, rather
+        than having it pushed to us.
+
+        Params:
+            origin: The server we received this event from
+            events: The received event
+            backfilled: True if this is part of a historical batch of events (inhibits
+                notification to clients, and validation of device keys.)
+        """
+        logger.info("Processing pulled event %s", event)
+
+        # these should not be outliers.
+        assert not event.internal_metadata.is_outlier()
+
+        event_id = event.event_id
+
+        existing = await self.store.get_event(
+            event_id, allow_none=True, allow_rejected=True
+        )
+        if existing:
+            if not existing.internal_metadata.is_outlier():
+                logger.info(
+                    "Ignoring received event %s which we have already seen",
+                    event_id,
+                )
+                return
+            logger.info("De-outliering event %s", event_id)
+
+        try:
+            self._sanity_check_event(event)
+        except SynapseError as err:
+            logger.warning("Event %s failed sanity check: %s", event_id, err)
+            return
+
+        try:
+            state = await self._resolve_state_at_missing_prevs(origin, event)
+            await self._process_received_pdu(
+                origin, event, state=state, backfilled=backfilled
+            )
+        except FederationError as e:
+            if e.code == 403:
+                logger.warning("Pulled event %s failed history check.", event_id)
+            else:
+                raise
+
+    async def _resolve_state_at_missing_prevs(
+        self, dest: str, event: EventBase
+    ) -> Optional[Iterable[EventBase]]:
+        """Calculate the state at an event with missing prev_events.
+
+        This is used when we have pulled a batch of events from a remote server, and
+        still don't have all the prev_events.
+
+        If we already have all the prev_events for `event`, this method does nothing.
+
+        Otherwise, the missing prevs become new backwards extremities, and we fall back
+        to asking the remote server for the state after each missing `prev_event`,
+        and resolving across them.
+
+        That's ok provided we then resolve the state against other bits of the DAG
+        before using it - in other words, that the received event `event` is not going
+        to become the only forwards_extremity in the room (which will ensure that you
+        can't just take over a room by sending an event, withholding its prev_events,
+        and declaring yourself to be an admin in the subsequent state request).
+
+        In other words: we should only call this method if `event` has been *pulled*
+        as part of a batch of missing prev events, or similar.
+
+        Params:
+            dest: the remote server to ask for state at the missing prevs. Typically,
+                this will be the server we got `event` from.
+            event: an event to check for missing prevs.
+
+        Returns:
+            if we already had all the prev events, `None`. Otherwise, returns a list of
+            the events in the state at `event`.
+        """
+        room_id = event.room_id
+        event_id = event.event_id
+
+        prevs = set(event.prev_event_ids())
+        seen = await self.store.have_events_in_timeline(prevs)
+        missing_prevs = prevs - seen
+
+        if not missing_prevs:
+            return None
+
+        logger.info(
+            "Event %s is missing prev_events %s: calculating state for a "
+            "backwards extremity",
+            event_id,
+            shortstr(missing_prevs),
+        )
+        # Calculate the state after each of the previous events, and
+        # resolve them to find the correct state at the current event.
+        event_map = {event_id: event}
+        try:
+            # Get the state of the events we know about
+            ours = await self.state_store.get_state_groups_ids(room_id, seen)
+
+            # state_maps is a list of mappings from (type, state_key) to event_id
+            state_maps: List[StateMap[str]] = list(ours.values())
+
+            # we don't need this any more, let's delete it.
+            del ours
+
+            # Ask the remote server for the states we don't
+            # know about
+            for p in missing_prevs:
+                logger.info("Requesting state after missing prev_event %s", p)
+
+                with nested_logging_context(p):
+                    # note that if any of the missing prevs share missing state or
+                    # auth events, the requests to fetch those events are deduped
+                    # by the get_pdu_cache in federation_client.
+                    remote_state = await self._get_state_after_missing_prev_event(
+                        dest, room_id, p
+                    )
+
+                    remote_state_map = {
+                        (x.type, x.state_key): x.event_id for x in remote_state
+                    }
+                    state_maps.append(remote_state_map)
+
+                    for x in remote_state:
+                        event_map[x.event_id] = x
+
+            room_version = await self.store.get_room_version_id(room_id)
+            state_map = await self._state_resolution_handler.resolve_events_with_store(
+                room_id,
+                room_version,
+                state_maps,
+                event_map,
+                state_res_store=StateResolutionStore(self.store),
+            )
+
+            # We need to give _process_received_pdu the actual state events
+            # rather than event ids, so generate that now.
+
+            # First though we need to fetch all the events that are in
+            # state_map, so we can build up the state below.
+            evs = await self.store.get_events(
+                list(state_map.values()),
+                get_prev_content=False,
+                redact_behaviour=EventRedactBehaviour.AS_IS,
+            )
+            event_map.update(evs)
+
+            state = [event_map[e] for e in state_map.values()]
+        except Exception:
+            logger.warning(
+                "Error attempting to resolve state at missing prev_events",
+                exc_info=True,
+            )
+            raise FederationError(
+                "ERROR",
+                403,
+                "We can't get valid state history.",
+                affected=event_id,
+            )
+        return state
+
+    async def _get_state_after_missing_prev_event(
+        self,
+        destination: str,
+        room_id: str,
+        event_id: str,
+    ) -> List[EventBase]:
+        """Requests all of the room state at a given event from a remote homeserver.
+
+        Args:
+            destination: The remote homeserver to query for the state.
+            room_id: The id of the room we're interested in.
+            event_id: The id of the event we want the state at.
+
+        Returns:
+            A list of events in the state, including the event itself
+        """
+        (
+            state_event_ids,
+            auth_event_ids,
+        ) = await self.federation_client.get_room_state_ids(
+            destination, room_id, event_id=event_id
+        )
+
+        logger.debug(
+            "state_ids returned %i state events, %i auth events",
+            len(state_event_ids),
+            len(auth_event_ids),
+        )
+
+        # start by just trying to fetch the events from the store
+        desired_events = set(state_event_ids)
+        desired_events.add(event_id)
+        logger.debug("Fetching %i events from cache/store", len(desired_events))
+        fetched_events = await self.store.get_events(
+            desired_events, allow_rejected=True
+        )
+
+        missing_desired_events = desired_events - fetched_events.keys()
+        logger.debug(
+            "We are missing %i events (got %i)",
+            len(missing_desired_events),
+            len(fetched_events),
+        )
+
+        # We probably won't need most of the auth events, so let's just check which
+        # we have for now, rather than thrashing the event cache with them all
+        # unnecessarily.
+
+        # TODO: we probably won't actually need all of the auth events, since we
+        #   already have a bunch of the state events. It would be nice if the
+        #   federation api gave us a way of finding out which we actually need.
+
+        missing_auth_events = set(auth_event_ids) - fetched_events.keys()
+        missing_auth_events.difference_update(
+            await self.store.have_seen_events(room_id, missing_auth_events)
+        )
+        logger.debug("We are also missing %i auth events", len(missing_auth_events))
+
+        missing_events = missing_desired_events | missing_auth_events
+        logger.debug("Fetching %i events from remote", len(missing_events))
+        await self._get_events_and_persist(
+            destination=destination, room_id=room_id, events=missing_events
+        )
+
+        # we need to make sure we re-load from the database to get the rejected
+        # state correct.
+        fetched_events.update(
+            await self.store.get_events(missing_desired_events, allow_rejected=True)
+        )
+
+        # check for events which were in the wrong room.
+        #
+        # this can happen if a remote server claims that the state or
+        # auth_events at an event in room A are actually events in room B
+
+        bad_events = [
+            (event_id, event.room_id)
+            for event_id, event in fetched_events.items()
+            if event.room_id != room_id
+        ]
+
+        for bad_event_id, bad_room_id in bad_events:
+            # This is a bogus situation, but since we may only discover it a long time
+            # after it happened, we try our best to carry on, by just omitting the
+            # bad events from the returned state set.
+            logger.warning(
+                "Remote server %s claims event %s in room %s is an auth/state "
+                "event in room %s",
+                destination,
+                bad_event_id,
+                bad_room_id,
+                room_id,
+            )
+
+            del fetched_events[bad_event_id]
+
+        # if we couldn't get the prev event in question, that's a problem.
+        remote_event = fetched_events.get(event_id)
+        if not remote_event:
+            raise Exception("Unable to get missing prev_event %s" % (event_id,))
+
+        # missing state at that event is a warning, not a blocker
+        # XXX: this doesn't sound right? it means that we'll end up with incomplete
+        #   state.
+        failed_to_fetch = desired_events - fetched_events.keys()
+        if failed_to_fetch:
+            logger.warning(
+                "Failed to fetch missing state events for %s %s",
+                event_id,
+                failed_to_fetch,
+            )
+
+        remote_state = [
+            fetched_events[e_id] for e_id in state_event_ids if e_id in fetched_events
+        ]
+
+        if remote_event.is_state() and remote_event.rejected_reason is None:
+            remote_state.append(remote_event)
+
+        return remote_state
+
+    async def _process_received_pdu(
+        self,
+        origin: str,
+        event: EventBase,
+        state: Optional[Iterable[EventBase]],
+        backfilled: bool = False,
+    ) -> None:
+        """Called when we have a new pdu. We need to do auth checks and put it
+        through the StateHandler.
+
+        Args:
+            origin: server sending the event
+
+            event: event to be persisted
+
+            state: Normally None, but if we are handling a gap in the graph
+                (ie, we are missing one or more prev_events), the resolved state at the
+                event
+
+            backfilled: True if this is part of a historical batch of events (inhibits
+                notification to clients, and validation of device keys.)
+        """
+        logger.debug("Processing event: %s", event)
+
+        try:
+            context = await self.state_handler.compute_event_context(
+                event, old_state=state
+            )
+            await self._auth_and_persist_event(
+                origin, event, context, state=state, backfilled=backfilled
+            )
+        except AuthError as e:
+            raise FederationError("ERROR", e.code, e.msg, affected=event.event_id)
+
+        if backfilled:
+            return
+
+        # For encrypted messages we check that we know about the sending device,
+        # if we don't then we mark the device cache for that user as stale.
+        if event.type == EventTypes.Encrypted:
+            device_id = event.content.get("device_id")
+            sender_key = event.content.get("sender_key")
+
+            cached_devices = await self.store.get_cached_devices_for_user(event.sender)
+
+            resync = False  # Whether we should resync device lists.
+
+            device = None
+            if device_id is not None:
+                device = cached_devices.get(device_id)
+                if device is None:
+                    logger.info(
+                        "Received event from remote device not in our cache: %s %s",
+                        event.sender,
+                        device_id,
+                    )
+                    resync = True
+
+            # We also check if the `sender_key` matches what we expect.
+            if sender_key is not None:
+                # Figure out what sender key we're expecting. If we know the
+                # device and recognize the algorithm then we can work out the
+                # exact key to expect. Otherwise check it matches any key we
+                # have for that device.
+
+                current_keys: Container[str] = []
+
+                if device:
+                    keys = device.get("keys", {}).get("keys", {})
+
+                    if (
+                        event.content.get("algorithm")
+                        == RoomEncryptionAlgorithms.MEGOLM_V1_AES_SHA2
+                    ):
+                        # For this algorithm we expect a curve25519 key.
+                        key_name = "curve25519:%s" % (device_id,)
+                        current_keys = [keys.get(key_name)]
+                    else:
+                        # We don't know understand the algorithm, so we just
+                        # check it matches a key for the device.
+                        current_keys = keys.values()
+                elif device_id:
+                    # We don't have any keys for the device ID.
+                    pass
+                else:
+                    # The event didn't include a device ID, so we just look for
+                    # keys across all devices.
+                    current_keys = [
+                        key
+                        for device in cached_devices.values()
+                        for key in device.get("keys", {}).get("keys", {}).values()
+                    ]
+
+                # We now check that the sender key matches (one of) the expected
+                # keys.
+                if sender_key not in current_keys:
+                    logger.info(
+                        "Received event from remote device with unexpected sender key: %s %s: %s",
+                        event.sender,
+                        device_id or "<no device_id>",
+                        sender_key,
+                    )
+                    resync = True
+
+            if resync:
+                run_as_background_process(
+                    "resync_device_due_to_pdu",
+                    self._resync_device,
+                    event.sender,
+                )
+
+        await self._handle_marker_event(origin, event)
+
+    async def _resync_device(self, sender: str) -> None:
+        """We have detected that the device list for the given user may be out
+        of sync, so we try and resync them.
+        """
+
+        try:
+            await self.store.mark_remote_user_device_cache_as_stale(sender)
+
+            # Immediately attempt a resync in the background
+            if self.config.worker_app:
+                await self._user_device_resync(user_id=sender)
+            else:
+                await self._device_list_updater.user_device_resync(sender)
+        except Exception:
+            logger.exception("Failed to resync device for %s", sender)
+
+    async def _handle_marker_event(self, origin: str, marker_event: EventBase):
+        """Handles backfilling the insertion event when we receive a marker
+        event that points to one.
+
+        Args:
+            origin: Origin of the event. Will be called to get the insertion event
+            marker_event: The event to process
+        """
+
+        if marker_event.type != EventTypes.MSC2716_MARKER:
+            # Not a marker event
+            return
+
+        if marker_event.rejected_reason is not None:
+            # Rejected event
+            return
+
+        # Skip processing a marker event if the room version doesn't
+        # support it.
+        room_version = await self.store.get_room_version(marker_event.room_id)
+        if not room_version.msc2716_historical:
+            return
+
+        logger.debug("_handle_marker_event: received %s", marker_event)
+
+        insertion_event_id = marker_event.content.get(
+            EventContentFields.MSC2716_MARKER_INSERTION
+        )
+
+        if insertion_event_id is None:
+            # Nothing to retrieve then (invalid marker)
+            return
+
+        logger.debug(
+            "_handle_marker_event: backfilling insertion event %s", insertion_event_id
+        )
+
+        await self._get_events_and_persist(
+            origin,
+            marker_event.room_id,
+            [insertion_event_id],
+        )
+
+        insertion_event = await self.store.get_event(
+            insertion_event_id, allow_none=True
+        )
+        if insertion_event is None:
+            logger.warning(
+                "_handle_marker_event: server %s didn't return insertion event %s for marker %s",
+                origin,
+                insertion_event_id,
+                marker_event.event_id,
+            )
+            return
+
+        logger.debug(
+            "_handle_marker_event: succesfully backfilled insertion event %s from marker event %s",
+            insertion_event,
+            marker_event,
+        )
+
+        await self.store.insert_insertion_extremity(
+            insertion_event_id, marker_event.room_id
+        )
+
+        logger.debug(
+            "_handle_marker_event: insertion extremity added for %s from marker event %s",
+            insertion_event,
+            marker_event,
+        )
+
+    async def _get_events_and_persist(
+        self, destination: str, room_id: str, events: Iterable[str]
+    ) -> None:
+        """Fetch the given events from a server, and persist them as outliers.
+
+        This function *does not* recursively get missing auth events of the
+        newly fetched events. Callers must include in the `events` argument
+        any missing events from the auth chain.
+
+        Logs a warning if we can't find the given event.
+        """
+
+        room_version = await self.store.get_room_version(room_id)
+
+        event_map: Dict[str, EventBase] = {}
+
+        async def get_event(event_id: str):
+            with nested_logging_context(event_id):
+                try:
+                    event = await self.federation_client.get_pdu(
+                        [destination],
+                        event_id,
+                        room_version,
+                        outlier=True,
+                    )
+                    if event is None:
+                        logger.warning(
+                            "Server %s didn't return event %s",
+                            destination,
+                            event_id,
+                        )
+                        return
+
+                    event_map[event.event_id] = event
+
+                except Exception as e:
+                    logger.warning(
+                        "Error fetching missing state/auth event %s: %s %s",
+                        event_id,
+                        type(e),
+                        e,
+                    )
+
+        await concurrently_execute(get_event, events, 5)
+
+        # Make a map of auth events for each event. We do this after fetching
+        # all the events as some of the events' auth events will be in the list
+        # of requested events.
+
+        auth_events = [
+            aid
+            for event in event_map.values()
+            for aid in event.auth_event_ids()
+            if aid not in event_map
+        ]
+        persisted_events = await self.store.get_events(
+            auth_events,
+            allow_rejected=True,
+        )
+
+        event_infos = []
+        for event in event_map.values():
+            auth = {}
+            for auth_event_id in event.auth_event_ids():
+                ae = persisted_events.get(auth_event_id) or event_map.get(auth_event_id)
+                if ae:
+                    auth[(ae.type, ae.state_key)] = ae
+                else:
+                    logger.info("Missing auth event %s", auth_event_id)
+
+            event_infos.append(_NewEventInfo(event, auth))
+
+        if event_infos:
+            await self._auth_and_persist_events(
+                destination,
+                room_id,
+                event_infos,
+            )
+
+    async def _auth_and_persist_events(
+        self,
+        origin: str,
+        room_id: str,
+        event_infos: Collection[_NewEventInfo],
+    ) -> None:
+        """Creates the appropriate contexts and persists events. The events
+        should not depend on one another, e.g. this should be used to persist
+        a bunch of outliers, but not a chunk of individual events that depend
+        on each other for state calculations.
+
+        Notifies about the events where appropriate.
+        """
+
+        if not event_infos:
+            return
+
+        async def prep(ev_info: _NewEventInfo):
+            event = ev_info.event
+            with nested_logging_context(suffix=event.event_id):
+                res = await self.state_handler.compute_event_context(event)
+                res = await self._check_event_auth(
+                    origin,
+                    event,
+                    res,
+                    claimed_auth_event_map=ev_info.claimed_auth_event_map,
+                )
+            return res
+
+        contexts = await make_deferred_yieldable(
+            defer.gatherResults(
+                [run_in_background(prep, ev_info) for ev_info in event_infos],
+                consumeErrors=True,
+            )
+        )
+
+        await self.persist_events_and_notify(
+            room_id,
+            [
+                (ev_info.event, context)
+                for ev_info, context in zip(event_infos, contexts)
+            ],
+        )
+
+    async def _auth_and_persist_event(
+        self,
+        origin: str,
+        event: EventBase,
+        context: EventContext,
+        state: Optional[Iterable[EventBase]] = None,
+        claimed_auth_event_map: Optional[StateMap[EventBase]] = None,
+        backfilled: bool = False,
+    ) -> None:
+        """
+        Process an event by performing auth checks and then persisting to the database.
+
+        Args:
+            origin: The host the event originates from.
+            event: The event itself.
+            context:
+                The event context.
+
+            state:
+                The state events used to check the event for soft-fail. If this is
+                not provided the current state events will be used.
+
+            claimed_auth_event_map:
+                A map of (type, state_key) => event for the event's claimed auth_events.
+                Possibly incomplete, and possibly including events that are not yet
+                persisted, or authed, or in the right room.
+
+                Only populated where we may not already have persisted these events -
+                for example, when populating outliers.
+
+            backfilled: True if the event was backfilled.
+        """
+        context = await self._check_event_auth(
+            origin,
+            event,
+            context,
+            state=state,
+            claimed_auth_event_map=claimed_auth_event_map,
+            backfilled=backfilled,
+        )
+
+        await self._run_push_actions_and_persist_event(event, context, backfilled)
+
+    async def _check_event_auth(
+        self,
+        origin: str,
+        event: EventBase,
+        context: EventContext,
+        state: Optional[Iterable[EventBase]] = None,
+        claimed_auth_event_map: Optional[StateMap[EventBase]] = None,
+        backfilled: bool = False,
+    ) -> EventContext:
+        """
+        Checks whether an event should be rejected (for failing auth checks).
+
+        Args:
+            origin: The host the event originates from.
+            event: The event itself.
+            context:
+                The event context.
+
+            state:
+                The state events used to check the event for soft-fail. If this is
+                not provided the current state events will be used.
+
+            claimed_auth_event_map:
+                A map of (type, state_key) => event for the event's claimed auth_events.
+                Possibly incomplete, and possibly including events that are not yet
+                persisted, or authed, or in the right room.
+
+                Only populated where we may not already have persisted these events -
+                for example, when populating outliers, or the state for a backwards
+                extremity.
+
+            backfilled: True if the event was backfilled.
+
+        Returns:
+            The updated context object.
+        """
+        room_version = await self.store.get_room_version_id(event.room_id)
+        room_version_obj = KNOWN_ROOM_VERSIONS[room_version]
+
+        if claimed_auth_event_map:
+            # if we have a copy of the auth events from the event, use that as the
+            # basis for auth.
+            auth_events = claimed_auth_event_map
+        else:
+            # otherwise, we calculate what the auth events *should* be, and use that
+            prev_state_ids = await context.get_prev_state_ids()
+            auth_events_ids = self._event_auth_handler.compute_auth_events(
+                event, prev_state_ids, for_verification=True
+            )
+            auth_events_x = await self.store.get_events(auth_events_ids)
+            auth_events = {(e.type, e.state_key): e for e in auth_events_x.values()}
+
+        try:
+            (
+                context,
+                auth_events_for_auth,
+            ) = await self._update_auth_events_and_context_for_auth(
+                origin, event, context, auth_events
+            )
+        except Exception:
+            # We don't really mind if the above fails, so lets not fail
+            # processing if it does. However, it really shouldn't fail so
+            # let's still log as an exception since we'll still want to fix
+            # any bugs.
+            logger.exception(
+                "Failed to double check auth events for %s with remote. "
+                "Ignoring failure and continuing processing of event.",
+                event.event_id,
+            )
+            auth_events_for_auth = auth_events
+
+        try:
+            event_auth.check(room_version_obj, event, auth_events=auth_events_for_auth)
+        except AuthError as e:
+            logger.warning("Failed auth resolution for %r because %s", event, e)
+            context.rejected = RejectedReason.AUTH_ERROR
+
+        if not context.rejected:
+            await self._check_for_soft_fail(event, state, backfilled, origin=origin)
+
+        if event.type == EventTypes.GuestAccess and not context.rejected:
+            await self.maybe_kick_guest_users(event)
+
+        # If we are going to send this event over federation we precaclculate
+        # the joined hosts.
+        if event.internal_metadata.get_send_on_behalf_of():
+            await self.event_creation_handler.cache_joined_hosts_for_event(
+                event, context
+            )
+
+        return context
+
+    async def _check_for_soft_fail(
+        self,
+        event: EventBase,
+        state: Optional[Iterable[EventBase]],
+        backfilled: bool,
+        origin: str,
+    ) -> None:
+        """Checks if we should soft fail the event; if so, marks the event as
+        such.
+
+        Args:
+            event
+            state: The state at the event if we don't have all the event's prev events
+            backfilled: Whether the event is from backfill
+            origin: The host the event originates from.
+        """
+        # For new (non-backfilled and non-outlier) events we check if the event
+        # passes auth based on the current state. If it doesn't then we
+        # "soft-fail" the event.
+        if backfilled or event.internal_metadata.is_outlier():
+            return
+
+        extrem_ids_list = await self.store.get_latest_event_ids_in_room(event.room_id)
+        extrem_ids = set(extrem_ids_list)
+        prev_event_ids = set(event.prev_event_ids())
+
+        if extrem_ids == prev_event_ids:
+            # If they're the same then the current state is the same as the
+            # state at the event, so no point rechecking auth for soft fail.
+            return
+
+        room_version = await self.store.get_room_version_id(event.room_id)
+        room_version_obj = KNOWN_ROOM_VERSIONS[room_version]
+
+        # Calculate the "current state".
+        if state is not None:
+            # If we're explicitly given the state then we won't have all the
+            # prev events, and so we have a gap in the graph. In this case
+            # we want to be a little careful as we might have been down for
+            # a while and have an incorrect view of the current state,
+            # however we still want to do checks as gaps are easy to
+            # maliciously manufacture.
+            #
+            # So we use a "current state" that is actually a state
+            # resolution across the current forward extremities and the
+            # given state at the event. This should correctly handle cases
+            # like bans, especially with state res v2.
+
+            state_sets_d = await self.state_store.get_state_groups(
+                event.room_id, extrem_ids
+            )
+            state_sets: List[Iterable[EventBase]] = list(state_sets_d.values())
+            state_sets.append(state)
+            current_states = await self.state_handler.resolve_events(
+                room_version, state_sets, event
+            )
+            current_state_ids: StateMap[str] = {
+                k: e.event_id for k, e in current_states.items()
+            }
+        else:
+            current_state_ids = await self.state_handler.get_current_state_ids(
+                event.room_id, latest_event_ids=extrem_ids
+            )
+
+        logger.debug(
+            "Doing soft-fail check for %s: state %s",
+            event.event_id,
+            current_state_ids,
+        )
+
+        # Now check if event pass auth against said current state
+        auth_types = auth_types_for_event(room_version_obj, event)
+        current_state_ids_list = [
+            e for k, e in current_state_ids.items() if k in auth_types
+        ]
+
+        auth_events_map = await self.store.get_events(current_state_ids_list)
+        current_auth_events = {
+            (e.type, e.state_key): e for e in auth_events_map.values()
+        }
+
+        try:
+            event_auth.check(room_version_obj, event, auth_events=current_auth_events)
+        except AuthError as e:
+            logger.warning(
+                "Soft-failing %r (from %s) because %s",
+                event,
+                e,
+                origin,
+                extra={
+                    "room_id": event.room_id,
+                    "mxid": event.sender,
+                    "hs": origin,
+                },
+            )
+            soft_failed_event_counter.inc()
+            event.internal_metadata.soft_failed = True
+
+    async def _update_auth_events_and_context_for_auth(
+        self,
+        origin: str,
+        event: EventBase,
+        context: EventContext,
+        input_auth_events: StateMap[EventBase],
+    ) -> Tuple[EventContext, StateMap[EventBase]]:
+        """Helper for _check_event_auth. See there for docs.
+
+        Checks whether a given event has the expected auth events. If it
+        doesn't then we talk to the remote server to compare state to see if
+        we can come to a consensus (e.g. if one server missed some valid
+        state).
+
+        This attempts to resolve any potential divergence of state between
+        servers, but is not essential and so failures should not block further
+        processing of the event.
+
+        Args:
+            origin:
+            event:
+            context:
+
+            input_auth_events:
+                Map from (event_type, state_key) to event
+
+                Normally, our calculated auth_events based on the state of the room
+                at the event's position in the DAG, though occasionally (eg if the
+                event is an outlier), may be the auth events claimed by the remote
+                server.
+
+        Returns:
+            updated context, updated auth event map
+        """
+        # take a copy of input_auth_events before we modify it.
+        auth_events: MutableStateMap[EventBase] = dict(input_auth_events)
+
+        event_auth_events = set(event.auth_event_ids())
+
+        # missing_auth is the set of the event's auth_events which we don't yet have
+        # in auth_events.
+        missing_auth = event_auth_events.difference(
+            e.event_id for e in auth_events.values()
+        )
+
+        # if we have missing events, we need to fetch those events from somewhere.
+        #
+        # we start by checking if they are in the store, and then try calling /event_auth/.
+        if missing_auth:
+            have_events = await self.store.have_seen_events(event.room_id, missing_auth)
+            logger.debug("Events %s are in the store", have_events)
+            missing_auth.difference_update(have_events)
+
+        if missing_auth:
+            # If we don't have all the auth events, we need to get them.
+            logger.info("auth_events contains unknown events: %s", missing_auth)
+            try:
+                try:
+                    remote_auth_chain = await self.federation_client.get_event_auth(
+                        origin, event.room_id, event.event_id
+                    )
+                except RequestSendFailed as e1:
+                    # The other side isn't around or doesn't implement the
+                    # endpoint, so lets just bail out.
+                    logger.info("Failed to get event auth from remote: %s", e1)
+                    return context, auth_events
+
+                seen_remotes = await self.store.have_seen_events(
+                    event.room_id, [e.event_id for e in remote_auth_chain]
+                )
+
+                for e in remote_auth_chain:
+                    if e.event_id in seen_remotes:
+                        continue
+
+                    if e.event_id == event.event_id:
+                        continue
+
+                    try:
+                        auth_ids = e.auth_event_ids()
+                        auth = {
+                            (e.type, e.state_key): e
+                            for e in remote_auth_chain
+                            if e.event_id in auth_ids or e.type == EventTypes.Create
+                        }
+                        e.internal_metadata.outlier = True
+
+                        logger.debug(
+                            "_check_event_auth %s missing_auth: %s",
+                            event.event_id,
+                            e.event_id,
+                        )
+                        missing_auth_event_context = (
+                            await self.state_handler.compute_event_context(e)
+                        )
+                        await self._auth_and_persist_event(
+                            origin,
+                            e,
+                            missing_auth_event_context,
+                            claimed_auth_event_map=auth,
+                        )
+
+                        if e.event_id in event_auth_events:
+                            auth_events[(e.type, e.state_key)] = e
+                    except AuthError:
+                        pass
+
+            except Exception:
+                logger.exception("Failed to get auth chain")
+
+        if event.internal_metadata.is_outlier():
+            # XXX: given that, for an outlier, we'll be working with the
+            # event's *claimed* auth events rather than those we calculated:
+            # (a) is there any point in this test, since different_auth below will
+            # obviously be empty
+            # (b) alternatively, why don't we do it earlier?
+            logger.info("Skipping auth_event fetch for outlier")
+            return context, auth_events
+
+        different_auth = event_auth_events.difference(
+            e.event_id for e in auth_events.values()
+        )
+
+        if not different_auth:
+            return context, auth_events
+
+        logger.info(
+            "auth_events refers to events which are not in our calculated auth "
+            "chain: %s",
+            different_auth,
+        )
+
+        # XXX: currently this checks for redactions but I'm not convinced that is
+        # necessary?
+        different_events = await self.store.get_events_as_list(different_auth)
+
+        for d in different_events:
+            if d.room_id != event.room_id:
+                logger.warning(
+                    "Event %s refers to auth_event %s which is in a different room",
+                    event.event_id,
+                    d.event_id,
+                )
+
+                # don't attempt to resolve the claimed auth events against our own
+                # in this case: just use our own auth events.
+                #
+                # XXX: should we reject the event in this case? It feels like we should,
+                # but then shouldn't we also do so if we've failed to fetch any of the
+                # auth events?
+                return context, auth_events
+
+        # now we state-resolve between our own idea of the auth events, and the remote's
+        # idea of them.
+
+        local_state = auth_events.values()
+        remote_auth_events = dict(auth_events)
+        remote_auth_events.update({(d.type, d.state_key): d for d in different_events})
+        remote_state = remote_auth_events.values()
+
+        room_version = await self.store.get_room_version_id(event.room_id)
+        new_state = await self.state_handler.resolve_events(
+            room_version, (local_state, remote_state), event
+        )
+
+        logger.info(
+            "After state res: updating auth_events with new state %s",
+            {
+                (d.type, d.state_key): d.event_id
+                for d in new_state.values()
+                if auth_events.get((d.type, d.state_key)) != d
+            },
+        )
+
+        auth_events.update(new_state)
+
+        context = await self._update_context_for_auth_events(
+            event, context, auth_events
+        )
+
+        return context, auth_events
+
+    async def _update_context_for_auth_events(
+        self, event: EventBase, context: EventContext, auth_events: StateMap[EventBase]
+    ) -> EventContext:
+        """Update the state_ids in an event context after auth event resolution,
+        storing the changes as a new state group.
+
+        Args:
+            event: The event we're handling the context for
+
+            context: initial event context
+
+            auth_events: Events to update in the event context.
+
+        Returns:
+            new event context
+        """
+        # exclude the state key of the new event from the current_state in the context.
+        if event.is_state():
+            event_key: Optional[Tuple[str, str]] = (event.type, event.state_key)
+        else:
+            event_key = None
+        state_updates = {
+            k: a.event_id for k, a in auth_events.items() if k != event_key
+        }
+
+        current_state_ids = await context.get_current_state_ids()
+        current_state_ids = dict(current_state_ids)  # type: ignore
+
+        current_state_ids.update(state_updates)
+
+        prev_state_ids = await context.get_prev_state_ids()
+        prev_state_ids = dict(prev_state_ids)
+
+        prev_state_ids.update({k: a.event_id for k, a in auth_events.items()})
+
+        # create a new state group as a delta from the existing one.
+        prev_group = context.state_group
+        state_group = await self.state_store.store_state_group(
+            event.event_id,
+            event.room_id,
+            prev_group=prev_group,
+            delta_ids=state_updates,
+            current_state_ids=current_state_ids,
+        )
+
+        return EventContext.with_state(
+            state_group=state_group,
+            state_group_before_event=context.state_group_before_event,
+            current_state_ids=current_state_ids,
+            prev_state_ids=prev_state_ids,
+            prev_group=prev_group,
+            delta_ids=state_updates,
+        )
+
+    async def _run_push_actions_and_persist_event(
+        self, event: EventBase, context: EventContext, backfilled: bool = False
+    ):
+        """Run the push actions for a received event, and persist it.
+
+        Args:
+            event: The event itself.
+            context: The event context.
+            backfilled: True if the event was backfilled.
+        """
+        try:
+            if (
+                not event.internal_metadata.is_outlier()
+                and not backfilled
+                and not context.rejected
+                and (await self.store.get_min_depth(event.room_id)) <= event.depth
+            ):
+                await self.action_generator.handle_push_actions_for_event(
+                    event, context
+                )
+
+            await self.persist_events_and_notify(
+                event.room_id, [(event, context)], backfilled=backfilled
+            )
+        except Exception:
+            run_in_background(
+                self.store.remove_push_actions_from_staging, event.event_id
+            )
+            raise
+
+    async def persist_events_and_notify(
+        self,
+        room_id: str,
+        event_and_contexts: Sequence[Tuple[EventBase, EventContext]],
+        backfilled: bool = False,
+    ) -> int:
+        """Persists events and tells the notifier/pushers about them, if
+        necessary.
+
+        Args:
+            room_id: The room ID of events being persisted.
+            event_and_contexts: Sequence of events with their associated
+                context that should be persisted. All events must belong to
+                the same room.
+            backfilled: Whether these events are a result of
+                backfilling or not
+
+        Returns:
+            The stream ID after which all events have been persisted.
+        """
+        if not event_and_contexts:
+            return self.store.get_current_events_token()
+
+        instance = self.config.worker.events_shard_config.get_instance(room_id)
+        if instance != self._instance_name:
+            # Limit the number of events sent over replication. We choose 200
+            # here as that is what we default to in `max_request_body_size(..)`
+            for batch in batch_iter(event_and_contexts, 200):
+                result = await self._send_events(
+                    instance_name=instance,
+                    store=self.store,
+                    room_id=room_id,
+                    event_and_contexts=batch,
+                    backfilled=backfilled,
+                )
+            return result["max_stream_id"]
+        else:
+            assert self.storage.persistence
+
+            # Note that this returns the events that were persisted, which may not be
+            # the same as were passed in if some were deduplicated due to transaction IDs.
+            events, max_stream_token = await self.storage.persistence.persist_events(
+                event_and_contexts, backfilled=backfilled
+            )
+
+            if self._ephemeral_messages_enabled:
+                for event in events:
+                    # If there's an expiry timestamp on the event, schedule its expiry.
+                    self._message_handler.maybe_schedule_expiry(event)
+
+            if not backfilled:  # Never notify for backfilled events
+                for event in events:
+                    await self._notify_persisted_event(event, max_stream_token)
+
+            return max_stream_token.stream
+
+    async def _notify_persisted_event(
+        self, event: EventBase, max_stream_token: RoomStreamToken
+    ) -> None:
+        """Checks to see if notifier/pushers should be notified about the
+        event or not.
+
+        Args:
+            event:
+            max_stream_token: The max_stream_id returned by persist_events
+        """
+
+        extra_users = []
+        if event.type == EventTypes.Member:
+            target_user_id = event.state_key
+
+            # We notify for memberships if its an invite for one of our
+            # users
+            if event.internal_metadata.is_outlier():
+                if event.membership != Membership.INVITE:
+                    if not self.is_mine_id(target_user_id):
+                        return
+
+            target_user = UserID.from_string(target_user_id)
+            extra_users.append(target_user)
+        elif event.internal_metadata.is_outlier():
+            return
+
+        # the event has been persisted so it should have a stream ordering.
+        assert event.internal_metadata.stream_ordering
+
+        event_pos = PersistedEventPosition(
+            self._instance_name, event.internal_metadata.stream_ordering
+        )
+        self.notifier.on_new_room_event(
+            event, event_pos, max_stream_token, extra_users=extra_users
+        )
+
+    def _sanity_check_event(self, ev: EventBase) -> None:
+        """
+        Do some early sanity checks of a received event
+
+        In particular, checks it doesn't have an excessive number of
+        prev_events or auth_events, which could cause a huge state resolution
+        or cascade of event fetches.
+
+        Args:
+            ev: event to be checked
+
+        Raises:
+            SynapseError if the event does not pass muster
+        """
+        if len(ev.prev_event_ids()) > 20:
+            logger.warning(
+                "Rejecting event %s which has %i prev_events",
+                ev.event_id,
+                len(ev.prev_event_ids()),
+            )
+            raise SynapseError(HTTPStatus.BAD_REQUEST, "Too many prev_events")
+
+        if len(ev.auth_event_ids()) > 10:
+            logger.warning(
+                "Rejecting event %s which has %i auth_events",
+                ev.event_id,
+                len(ev.auth_event_ids()),
+            )
+            raise SynapseError(HTTPStatus.BAD_REQUEST, "Too many auth_events")
+
+    async def get_min_depth_for_context(self, context: str) -> int:
+        return await self.store.get_min_depth(context)
diff --git a/synapse/handlers/initial_sync.py b/synapse/handlers/initial_sync.py
index e1c544a3c9..4e8f7f1d85 100644
--- a/synapse/handlers/initial_sync.py
+++ b/synapse/handlers/initial_sync.py
@@ -151,7 +151,7 @@ class InitialSyncHandler(BaseHandler):
             limit = 10
 
         async def handle_room(event: RoomsForUser):
-            d = {
+            d: JsonDict = {
                 "room_id": event.room_id,
                 "membership": event.membership,
                 "visibility": (
diff --git a/synapse/handlers/presence.py b/synapse/handlers/presence.py
index 7ca14e1d84..4418d63df7 100644
--- a/synapse/handlers/presence.py
+++ b/synapse/handlers/presence.py
@@ -353,6 +353,11 @@ class BasePresenceHandler(abc.ABC):
         # otherwise would not do).
         await self.set_state(UserID.from_string(user_id), state, force_notify=True)
 
+    async def is_visible(self, observed_user: UserID, observer_user: UserID) -> bool:
+        raise NotImplementedError(
+            "Attempting to check presence on a non-presence worker."
+        )
+
 
 class _NullContextManager(ContextManager[None]):
     """A context manager which does nothing."""
diff --git a/synapse/handlers/register.py b/synapse/handlers/register.py
index 8cf614136e..0ed59d757b 100644
--- a/synapse/handlers/register.py
+++ b/synapse/handlers/register.py
@@ -56,6 +56,22 @@ login_counter = Counter(
 )
 
 
+def init_counters_for_auth_provider(auth_provider_id: str) -> None:
+    """Ensure the prometheus counters for the given auth provider are initialised
+
+    This fixes a problem where the counters are not reported for a given auth provider
+    until the user first logs in/registers.
+    """
+    for is_guest in (True, False):
+        login_counter.labels(guest=is_guest, auth_provider=auth_provider_id)
+        for shadow_banned in (True, False):
+            registration_counter.labels(
+                guest=is_guest,
+                shadow_banned=shadow_banned,
+                auth_provider=auth_provider_id,
+            )
+
+
 class LoginDict(TypedDict):
     device_id: str
     access_token: str
@@ -96,6 +112,8 @@ class RegistrationHandler(BaseHandler):
         self.session_lifetime = hs.config.session_lifetime
         self.access_token_lifetime = hs.config.access_token_lifetime
 
+        init_counters_for_auth_provider("")
+
     async def check_username(
         self,
         localpart: str,
diff --git a/synapse/handlers/room_member.py b/synapse/handlers/room_member.py
index ba13196218..401b84aad1 100644
--- a/synapse/handlers/room_member.py
+++ b/synapse/handlers/room_member.py
@@ -36,6 +36,7 @@ from synapse.api.ratelimiting import Ratelimiter
 from synapse.event_auth import get_named_level, get_power_level_event
 from synapse.events import EventBase
 from synapse.events.snapshot import EventContext
+from synapse.handlers.profile import MAX_AVATAR_URL_LEN, MAX_DISPLAYNAME_LEN
 from synapse.types import (
     JsonDict,
     Requester,
@@ -79,7 +80,7 @@ class RoomMemberHandler(metaclass=abc.ABCMeta):
         self.account_data_handler = hs.get_account_data_handler()
         self.event_auth_handler = hs.get_event_auth_handler()
 
-        self.member_linearizer = Linearizer(name="member")
+        self.member_linearizer: Linearizer = Linearizer(name="member")
 
         self.clock = hs.get_clock()
         self.spam_checker = hs.get_spam_checker()
@@ -556,6 +557,20 @@ class RoomMemberHandler(metaclass=abc.ABCMeta):
             content.pop("displayname", None)
             content.pop("avatar_url", None)
 
+        if len(content.get("displayname") or "") > MAX_DISPLAYNAME_LEN:
+            raise SynapseError(
+                400,
+                f"Displayname is too long (max {MAX_DISPLAYNAME_LEN})",
+                errcode=Codes.BAD_JSON,
+            )
+
+        if len(content.get("avatar_url") or "") > MAX_AVATAR_URL_LEN:
+            raise SynapseError(
+                400,
+                f"Avatar URL is too long (max {MAX_AVATAR_URL_LEN})",
+                errcode=Codes.BAD_JSON,
+            )
+
         effective_membership_state = action
         if action in ["kick", "unban"]:
             effective_membership_state = "leave"
diff --git a/synapse/handlers/room_summary.py b/synapse/handlers/room_summary.py
index ac6cfc0da9..906985c754 100644
--- a/synapse/handlers/room_summary.py
+++ b/synapse/handlers/room_summary.py
@@ -28,12 +28,11 @@ from synapse.api.constants import (
     Membership,
     RoomTypes,
 )
-from synapse.api.errors import AuthError, Codes, NotFoundError, SynapseError
+from synapse.api.errors import AuthError, Codes, NotFoundError, StoreError, SynapseError
 from synapse.events import EventBase
 from synapse.events.utils import format_event_for_client_v2
 from synapse.types import JsonDict
 from synapse.util.caches.response_cache import ResponseCache
-from synapse.util.stringutils import random_string
 
 if TYPE_CHECKING:
     from synapse.server import HomeServer
@@ -76,6 +75,9 @@ class _PaginationSession:
 
 
 class RoomSummaryHandler:
+    # A unique key used for pagination sessions for the room hierarchy endpoint.
+    _PAGINATION_SESSION_TYPE = "room_hierarchy_pagination"
+
     # The time a pagination session remains valid for.
     _PAGINATION_SESSION_VALIDITY_PERIOD_MS = 5 * 60 * 1000
 
@@ -87,12 +89,6 @@ class RoomSummaryHandler:
         self._server_name = hs.hostname
         self._federation_client = hs.get_federation_client()
 
-        # A map of query information to the current pagination state.
-        #
-        # TODO Allow for multiple workers to share this data.
-        # TODO Expire pagination tokens.
-        self._pagination_sessions: Dict[_PaginationKey, _PaginationSession] = {}
-
         # If a user tries to fetch the same page multiple times in quick succession,
         # only process the first attempt and return its result to subsequent requests.
         self._pagination_response_cache: ResponseCache[
@@ -102,21 +98,6 @@ class RoomSummaryHandler:
             "get_room_hierarchy",
         )
 
-    def _expire_pagination_sessions(self):
-        """Expire pagination session which are old."""
-        expire_before = (
-            self._clock.time_msec() - self._PAGINATION_SESSION_VALIDITY_PERIOD_MS
-        )
-        to_expire = []
-
-        for key, value in self._pagination_sessions.items():
-            if value.creation_time_ms < expire_before:
-                to_expire.append(key)
-
-        for key in to_expire:
-            logger.debug("Expiring pagination session id %s", key)
-            del self._pagination_sessions[key]
-
     async def get_space_summary(
         self,
         requester: str,
@@ -327,18 +308,29 @@ class RoomSummaryHandler:
 
         # If this is continuing a previous session, pull the persisted data.
         if from_token:
-            self._expire_pagination_sessions()
+            try:
+                pagination_session = await self._store.get_session(
+                    session_type=self._PAGINATION_SESSION_TYPE,
+                    session_id=from_token,
+                )
+            except StoreError:
+                raise SynapseError(400, "Unknown pagination token", Codes.INVALID_PARAM)
 
-            pagination_key = _PaginationKey(
-                requested_room_id, suggested_only, max_depth, from_token
-            )
-            if pagination_key not in self._pagination_sessions:
+            # If the requester, room ID, suggested-only, or max depth were modified
+            # the session is invalid.
+            if (
+                requester != pagination_session["requester"]
+                or requested_room_id != pagination_session["room_id"]
+                or suggested_only != pagination_session["suggested_only"]
+                or max_depth != pagination_session["max_depth"]
+            ):
                 raise SynapseError(400, "Unknown pagination token", Codes.INVALID_PARAM)
 
             # Load the previous state.
-            pagination_session = self._pagination_sessions[pagination_key]
-            room_queue = pagination_session.room_queue
-            processed_rooms = pagination_session.processed_rooms
+            room_queue = [
+                _RoomQueueEntry(*fields) for fields in pagination_session["room_queue"]
+            ]
+            processed_rooms = set(pagination_session["processed_rooms"])
         else:
             # The queue of rooms to process, the next room is last on the stack.
             room_queue = [_RoomQueueEntry(requested_room_id, ())]
@@ -456,13 +448,21 @@ class RoomSummaryHandler:
 
         # If there's additional data, generate a pagination token (and persist state).
         if room_queue:
-            next_batch = random_string(24)
-            result["next_batch"] = next_batch
-            pagination_key = _PaginationKey(
-                requested_room_id, suggested_only, max_depth, next_batch
-            )
-            self._pagination_sessions[pagination_key] = _PaginationSession(
-                self._clock.time_msec(), room_queue, processed_rooms
+            result["next_batch"] = await self._store.create_session(
+                session_type=self._PAGINATION_SESSION_TYPE,
+                value={
+                    # Information which must be identical across pagination.
+                    "requester": requester,
+                    "room_id": requested_room_id,
+                    "suggested_only": suggested_only,
+                    "max_depth": max_depth,
+                    # The stored state.
+                    "room_queue": [
+                        attr.astuple(room_entry) for room_entry in room_queue
+                    ],
+                    "processed_rooms": list(processed_rooms),
+                },
+                expiry_ms=self._PAGINATION_SESSION_VALIDITY_PERIOD_MS,
             )
 
         return result
diff --git a/synapse/handlers/sso.py b/synapse/handlers/sso.py
index 1b855a685c..0e6ebb574e 100644
--- a/synapse/handlers/sso.py
+++ b/synapse/handlers/sso.py
@@ -37,6 +37,7 @@ from twisted.web.server import Request
 from synapse.api.constants import LoginType
 from synapse.api.errors import Codes, NotFoundError, RedirectException, SynapseError
 from synapse.config.sso import SsoAttributeRequirement
+from synapse.handlers.register import init_counters_for_auth_provider
 from synapse.handlers.ui_auth import UIAuthSessionDataConstants
 from synapse.http import get_request_user_agent
 from synapse.http.server import respond_with_html, respond_with_redirect
@@ -213,6 +214,7 @@ class SsoHandler:
         p_id = p.idp_id
         assert p_id not in self._identity_providers
         self._identity_providers[p_id] = p
+        init_counters_for_auth_provider(p_id)
 
     def get_identity_providers(self) -> Mapping[str, SsoIdentityProvider]:
         """Get the configured identity providers"""
diff --git a/synapse/handlers/sync.py b/synapse/handlers/sync.py
index 590642f510..86c3c7f0df 100644
--- a/synapse/handlers/sync.py
+++ b/synapse/handlers/sync.py
@@ -1,5 +1,4 @@
-# Copyright 2015, 2016 OpenMarket Ltd
-# Copyright 2018, 2019 New Vector Ltd
+# Copyright 2015-2021 The Matrix.org Foundation C.I.C.
 #
 # Licensed under the Apache License, Version 2.0 (the "License");
 # you may not use this file except in compliance with the License.
@@ -31,6 +30,8 @@ from prometheus_client import Counter
 
 from synapse.api.constants import AccountDataTypes, EventTypes, Membership
 from synapse.api.filtering import FilterCollection
+from synapse.api.presence import UserPresenceState
+from synapse.api.room_versions import KNOWN_ROOM_VERSIONS
 from synapse.events import EventBase
 from synapse.logging.context import current_context
 from synapse.logging.opentracing import SynapseTags, log_kv, set_tag, start_active_span
@@ -86,20 +87,20 @@ LAZY_LOADED_MEMBERS_CACHE_MAX_SIZE = 100
 SyncRequestKey = Tuple[Any, ...]
 
 
-@attr.s(slots=True, frozen=True)
+@attr.s(slots=True, frozen=True, auto_attribs=True)
 class SyncConfig:
-    user = attr.ib(type=UserID)
-    filter_collection = attr.ib(type=FilterCollection)
-    is_guest = attr.ib(type=bool)
-    request_key = attr.ib(type=SyncRequestKey)
-    device_id = attr.ib(type=Optional[str])
+    user: UserID
+    filter_collection: FilterCollection
+    is_guest: bool
+    request_key: SyncRequestKey
+    device_id: Optional[str]
 
 
-@attr.s(slots=True, frozen=True)
+@attr.s(slots=True, frozen=True, auto_attribs=True)
 class TimelineBatch:
-    prev_batch = attr.ib(type=StreamToken)
-    events = attr.ib(type=List[EventBase])
-    limited = attr.ib(type=bool)
+    prev_batch: StreamToken
+    events: List[EventBase]
+    limited: bool
 
     def __bool__(self) -> bool:
         """Make the result appear empty if there are no updates. This is used
@@ -113,16 +114,16 @@ class TimelineBatch:
 # if there are updates for it, which we check after the instance has been created.
 # This should not be a big deal because we update the notification counts afterwards as
 # well anyway.
-@attr.s(slots=True)
+@attr.s(slots=True, auto_attribs=True)
 class JoinedSyncResult:
-    room_id = attr.ib(type=str)
-    timeline = attr.ib(type=TimelineBatch)
-    state = attr.ib(type=StateMap[EventBase])
-    ephemeral = attr.ib(type=List[JsonDict])
-    account_data = attr.ib(type=List[JsonDict])
-    unread_notifications = attr.ib(type=JsonDict)
-    summary = attr.ib(type=Optional[JsonDict])
-    unread_count = attr.ib(type=int)
+    room_id: str
+    timeline: TimelineBatch
+    state: StateMap[EventBase]
+    ephemeral: List[JsonDict]
+    account_data: List[JsonDict]
+    unread_notifications: JsonDict
+    summary: Optional[JsonDict]
+    unread_count: int
 
     def __bool__(self) -> bool:
         """Make the result appear empty if there are no updates. This is used
@@ -138,12 +139,12 @@ class JoinedSyncResult:
         )
 
 
-@attr.s(slots=True, frozen=True)
+@attr.s(slots=True, frozen=True, auto_attribs=True)
 class ArchivedSyncResult:
-    room_id = attr.ib(type=str)
-    timeline = attr.ib(type=TimelineBatch)
-    state = attr.ib(type=StateMap[EventBase])
-    account_data = attr.ib(type=List[JsonDict])
+    room_id: str
+    timeline: TimelineBatch
+    state: StateMap[EventBase]
+    account_data: List[JsonDict]
 
     def __bool__(self) -> bool:
         """Make the result appear empty if there are no updates. This is used
@@ -152,37 +153,37 @@ class ArchivedSyncResult:
         return bool(self.timeline or self.state or self.account_data)
 
 
-@attr.s(slots=True, frozen=True)
+@attr.s(slots=True, frozen=True, auto_attribs=True)
 class InvitedSyncResult:
-    room_id = attr.ib(type=str)
-    invite = attr.ib(type=EventBase)
+    room_id: str
+    invite: EventBase
 
     def __bool__(self) -> bool:
         """Invited rooms should always be reported to the client"""
         return True
 
 
-@attr.s(slots=True, frozen=True)
+@attr.s(slots=True, frozen=True, auto_attribs=True)
 class KnockedSyncResult:
-    room_id = attr.ib(type=str)
-    knock = attr.ib(type=EventBase)
+    room_id: str
+    knock: EventBase
 
     def __bool__(self) -> bool:
         """Knocked rooms should always be reported to the client"""
         return True
 
 
-@attr.s(slots=True, frozen=True)
+@attr.s(slots=True, frozen=True, auto_attribs=True)
 class GroupsSyncResult:
-    join = attr.ib(type=JsonDict)
-    invite = attr.ib(type=JsonDict)
-    leave = attr.ib(type=JsonDict)
+    join: JsonDict
+    invite: JsonDict
+    leave: JsonDict
 
     def __bool__(self) -> bool:
         return bool(self.join or self.invite or self.leave)
 
 
-@attr.s(slots=True, frozen=True)
+@attr.s(slots=True, frozen=True, auto_attribs=True)
 class DeviceLists:
     """
     Attributes:
@@ -190,27 +191,27 @@ class DeviceLists:
         left: List of user_ids whose devices we no longer track
     """
 
-    changed = attr.ib(type=Collection[str])
-    left = attr.ib(type=Collection[str])
+    changed: Collection[str]
+    left: Collection[str]
 
     def __bool__(self) -> bool:
         return bool(self.changed or self.left)
 
 
-@attr.s(slots=True)
+@attr.s(slots=True, auto_attribs=True)
 class _RoomChanges:
     """The set of room entries to include in the sync, plus the set of joined
     and left room IDs since last sync.
     """
 
-    room_entries = attr.ib(type=List["RoomSyncResultBuilder"])
-    invited = attr.ib(type=List[InvitedSyncResult])
-    knocked = attr.ib(type=List[KnockedSyncResult])
-    newly_joined_rooms = attr.ib(type=List[str])
-    newly_left_rooms = attr.ib(type=List[str])
+    room_entries: List["RoomSyncResultBuilder"]
+    invited: List[InvitedSyncResult]
+    knocked: List[KnockedSyncResult]
+    newly_joined_rooms: List[str]
+    newly_left_rooms: List[str]
 
 
-@attr.s(slots=True, frozen=True)
+@attr.s(slots=True, frozen=True, auto_attribs=True)
 class SyncResult:
     """
     Attributes:
@@ -230,18 +231,18 @@ class SyncResult:
         groups: Group updates, if any
     """
 
-    next_batch = attr.ib(type=StreamToken)
-    presence = attr.ib(type=List[JsonDict])
-    account_data = attr.ib(type=List[JsonDict])
-    joined = attr.ib(type=List[JoinedSyncResult])
-    invited = attr.ib(type=List[InvitedSyncResult])
-    knocked = attr.ib(type=List[KnockedSyncResult])
-    archived = attr.ib(type=List[ArchivedSyncResult])
-    to_device = attr.ib(type=List[JsonDict])
-    device_lists = attr.ib(type=DeviceLists)
-    device_one_time_keys_count = attr.ib(type=JsonDict)
-    device_unused_fallback_key_types = attr.ib(type=List[str])
-    groups = attr.ib(type=Optional[GroupsSyncResult])
+    next_batch: StreamToken
+    presence: List[UserPresenceState]
+    account_data: List[JsonDict]
+    joined: List[JoinedSyncResult]
+    invited: List[InvitedSyncResult]
+    knocked: List[KnockedSyncResult]
+    archived: List[ArchivedSyncResult]
+    to_device: List[JsonDict]
+    device_lists: DeviceLists
+    device_one_time_keys_count: JsonDict
+    device_unused_fallback_key_types: List[str]
+    groups: Optional[GroupsSyncResult]
 
     def __bool__(self) -> bool:
         """Make the result appear empty if there are no updates. This is used
@@ -701,7 +702,7 @@ class SyncHandler:
         name_id = state_ids.get((EventTypes.Name, ""))
         canonical_alias_id = state_ids.get((EventTypes.CanonicalAlias, ""))
 
-        summary = {}
+        summary: JsonDict = {}
         empty_ms = MemberSummary([], 0)
 
         # TODO: only send these when they change.
@@ -1843,6 +1844,9 @@ class SyncHandler:
         knocked = []
 
         for event in room_list:
+            if event.room_version_id not in KNOWN_ROOM_VERSIONS:
+                continue
+
             if event.membership == Membership.JOIN:
                 room_entries.append(
                     RoomSyncResultBuilder(
@@ -2076,21 +2080,23 @@ class SyncHandler:
         # If the membership's stream ordering is after the given stream
         # ordering, we need to go and work out if the user was in the room
         # before.
-        for room_id, event_pos in joined_rooms:
-            if not event_pos.persisted_after(room_key):
-                joined_room_ids.add(room_id)
+        for joined_room in joined_rooms:
+            if not joined_room.event_pos.persisted_after(room_key):
+                joined_room_ids.add(joined_room.room_id)
                 continue
 
-            logger.info("User joined room after current token: %s", room_id)
+            logger.info("User joined room after current token: %s", joined_room.room_id)
 
             extrems = (
                 await self.store.get_forward_extremities_for_room_at_stream_ordering(
-                    room_id, event_pos.stream
+                    joined_room.room_id, joined_room.event_pos.stream
                 )
             )
-            users_in_room = await self.state.get_current_users_in_room(room_id, extrems)
+            users_in_room = await self.state.get_current_users_in_room(
+                joined_room.room_id, extrems
+            )
             if user_id in users_in_room:
-                joined_room_ids.add(room_id)
+                joined_room_ids.add(joined_room.room_id)
 
         return frozenset(joined_room_ids)
 
@@ -2160,7 +2166,7 @@ def _calculate_state(
     return {event_id_to_key[e]: e for e in state_ids}
 
 
-@attr.s(slots=True)
+@attr.s(slots=True, auto_attribs=True)
 class SyncResultBuilder:
     """Used to help build up a new SyncResult for a user
 
@@ -2172,33 +2178,33 @@ class SyncResultBuilder:
         joined_room_ids: List of rooms the user is joined to
 
         # The following mirror the fields in a sync response
-        presence (list)
-        account_data (list)
-        joined (list[JoinedSyncResult])
-        invited (list[InvitedSyncResult])
-        knocked (list[KnockedSyncResult])
-        archived (list[ArchivedSyncResult])
-        groups (GroupsSyncResult|None)
-        to_device (list)
+        presence
+        account_data
+        joined
+        invited
+        knocked
+        archived
+        groups
+        to_device
     """
 
-    sync_config = attr.ib(type=SyncConfig)
-    full_state = attr.ib(type=bool)
-    since_token = attr.ib(type=Optional[StreamToken])
-    now_token = attr.ib(type=StreamToken)
-    joined_room_ids = attr.ib(type=FrozenSet[str])
+    sync_config: SyncConfig
+    full_state: bool
+    since_token: Optional[StreamToken]
+    now_token: StreamToken
+    joined_room_ids: FrozenSet[str]
 
-    presence = attr.ib(type=List[JsonDict], default=attr.Factory(list))
-    account_data = attr.ib(type=List[JsonDict], default=attr.Factory(list))
-    joined = attr.ib(type=List[JoinedSyncResult], default=attr.Factory(list))
-    invited = attr.ib(type=List[InvitedSyncResult], default=attr.Factory(list))
-    knocked = attr.ib(type=List[KnockedSyncResult], default=attr.Factory(list))
-    archived = attr.ib(type=List[ArchivedSyncResult], default=attr.Factory(list))
-    groups = attr.ib(type=Optional[GroupsSyncResult], default=None)
-    to_device = attr.ib(type=List[JsonDict], default=attr.Factory(list))
+    presence: List[UserPresenceState] = attr.Factory(list)
+    account_data: List[JsonDict] = attr.Factory(list)
+    joined: List[JoinedSyncResult] = attr.Factory(list)
+    invited: List[InvitedSyncResult] = attr.Factory(list)
+    knocked: List[KnockedSyncResult] = attr.Factory(list)
+    archived: List[ArchivedSyncResult] = attr.Factory(list)
+    groups: Optional[GroupsSyncResult] = None
+    to_device: List[JsonDict] = attr.Factory(list)
 
 
-@attr.s(slots=True)
+@attr.s(slots=True, auto_attribs=True)
 class RoomSyncResultBuilder:
     """Stores information needed to create either a `JoinedSyncResult` or
     `ArchivedSyncResult`.
@@ -2214,10 +2220,10 @@ class RoomSyncResultBuilder:
         upto_token: Latest point to return events from.
     """
 
-    room_id = attr.ib(type=str)
-    rtype = attr.ib(type=str)
-    events = attr.ib(type=Optional[List[EventBase]])
-    newly_joined = attr.ib(type=bool)
-    full_state = attr.ib(type=bool)
-    since_token = attr.ib(type=Optional[StreamToken])
-    upto_token = attr.ib(type=StreamToken)
+    room_id: str
+    rtype: str
+    events: Optional[List[EventBase]]
+    newly_joined: bool
+    full_state: bool
+    since_token: Optional[StreamToken]
+    upto_token: StreamToken
diff --git a/synapse/handlers/ui_auth/__init__.py b/synapse/handlers/ui_auth/__init__.py
index 4c3b669fae..13b0c61d2e 100644
--- a/synapse/handlers/ui_auth/__init__.py
+++ b/synapse/handlers/ui_auth/__init__.py
@@ -34,3 +34,8 @@ class UIAuthSessionDataConstants:
     # used by validate_user_via_ui_auth to store the mxid of the user we are validating
     # for.
     REQUEST_USER_ID = "request_user_id"
+
+    # used during registration to store the registration token used (if required) so that:
+    # - we can prevent a token being used twice by one session
+    # - we can 'use up' the token after registration has successfully completed
+    REGISTRATION_TOKEN = "org.matrix.msc3231.login.registration_token"
diff --git a/synapse/handlers/ui_auth/checkers.py b/synapse/handlers/ui_auth/checkers.py
index 5414ce77d8..d3828dec6b 100644
--- a/synapse/handlers/ui_auth/checkers.py
+++ b/synapse/handlers/ui_auth/checkers.py
@@ -49,7 +49,7 @@ class UserInteractiveAuthChecker:
             clientip: The IP address of the client.
 
         Raises:
-            SynapseError if authentication failed
+            LoginError if authentication failed.
 
         Returns:
             The result of authentication (to pass back to the client?)
@@ -131,7 +131,9 @@ class RecaptchaAuthChecker(UserInteractiveAuthChecker):
             )
             if resp_body["success"]:
                 return True
-        raise LoginError(401, "", errcode=Codes.UNAUTHORIZED)
+        raise LoginError(
+            401, "Captcha authentication failed", errcode=Codes.UNAUTHORIZED
+        )
 
 
 class _BaseThreepidAuthChecker:
@@ -191,7 +193,9 @@ class _BaseThreepidAuthChecker:
             raise AssertionError("Unrecognized threepid medium: %s" % (medium,))
 
         if not threepid:
-            raise LoginError(401, "", errcode=Codes.UNAUTHORIZED)
+            raise LoginError(
+                401, "Unable to get validated threepid", errcode=Codes.UNAUTHORIZED
+            )
 
         if threepid["medium"] != medium:
             raise LoginError(
@@ -237,11 +241,76 @@ class MsisdnAuthChecker(UserInteractiveAuthChecker, _BaseThreepidAuthChecker):
         return await self._check_threepid("msisdn", authdict)
 
 
+class RegistrationTokenAuthChecker(UserInteractiveAuthChecker):
+    AUTH_TYPE = LoginType.REGISTRATION_TOKEN
+
+    def __init__(self, hs: "HomeServer"):
+        super().__init__(hs)
+        self.hs = hs
+        self._enabled = bool(hs.config.registration_requires_token)
+        self.store = hs.get_datastore()
+
+    def is_enabled(self) -> bool:
+        return self._enabled
+
+    async def check_auth(self, authdict: dict, clientip: str) -> Any:
+        if "token" not in authdict:
+            raise LoginError(400, "Missing registration token", Codes.MISSING_PARAM)
+        if not isinstance(authdict["token"], str):
+            raise LoginError(
+                400, "Registration token must be a string", Codes.INVALID_PARAM
+            )
+        if "session" not in authdict:
+            raise LoginError(400, "Missing UIA session", Codes.MISSING_PARAM)
+
+        # Get these here to avoid cyclic dependencies
+        from synapse.handlers.ui_auth import UIAuthSessionDataConstants
+
+        auth_handler = self.hs.get_auth_handler()
+
+        session = authdict["session"]
+        token = authdict["token"]
+
+        # If the LoginType.REGISTRATION_TOKEN stage has already been completed,
+        # return early to avoid incrementing `pending` again.
+        stored_token = await auth_handler.get_session_data(
+            session, UIAuthSessionDataConstants.REGISTRATION_TOKEN
+        )
+        if stored_token:
+            if token != stored_token:
+                raise LoginError(
+                    400, "Registration token has changed", Codes.INVALID_PARAM
+                )
+            else:
+                return token
+
+        if await self.store.registration_token_is_valid(token):
+            # Increment pending counter, so that if token has limited uses it
+            # can't be used up by someone else in the meantime.
+            await self.store.set_registration_token_pending(token)
+            # Store the token in the UIA session, so that once registration
+            # is complete `completed` can be incremented.
+            await auth_handler.set_session_data(
+                session,
+                UIAuthSessionDataConstants.REGISTRATION_TOKEN,
+                token,
+            )
+            # The token will be stored as the result of the authentication stage
+            # in ui_auth_sessions_credentials. This allows the pending counter
+            # for tokens to be decremented when expired sessions are deleted.
+            return token
+        else:
+            raise LoginError(
+                401, "Invalid registration token", errcode=Codes.UNAUTHORIZED
+            )
+
+
 INTERACTIVE_AUTH_CHECKERS = [
     DummyAuthChecker,
     TermsAuthChecker,
     RecaptchaAuthChecker,
     EmailIdentityAuthChecker,
     MsisdnAuthChecker,
+    RegistrationTokenAuthChecker,
 ]
 """A list of UserInteractiveAuthChecker classes"""
diff --git a/synapse/http/additional_resource.py b/synapse/http/additional_resource.py
index 55ea97a07f..9a2684aca4 100644
--- a/synapse/http/additional_resource.py
+++ b/synapse/http/additional_resource.py
@@ -12,8 +12,15 @@
 # See the License for the specific language governing permissions and
 # limitations under the License.
 
+from typing import TYPE_CHECKING
+
+from twisted.web.server import Request
+
 from synapse.http.server import DirectServeJsonResource
 
+if TYPE_CHECKING:
+    from synapse.server import HomeServer
+
 
 class AdditionalResource(DirectServeJsonResource):
     """Resource wrapper for additional_resources
@@ -25,7 +32,7 @@ class AdditionalResource(DirectServeJsonResource):
     and exception handling.
     """
 
-    def __init__(self, hs, handler):
+    def __init__(self, hs: "HomeServer", handler):
         """Initialise AdditionalResource
 
         The ``handler`` should return a deferred which completes when it has
@@ -33,14 +40,14 @@ class AdditionalResource(DirectServeJsonResource):
         ``request.write()``, and call ``request.finish()``.
 
         Args:
-            hs (synapse.server.HomeServer): homeserver
+            hs: homeserver
             handler ((twisted.web.server.Request) -> twisted.internet.defer.Deferred):
                 function to be called to handle the request.
         """
         super().__init__()
         self._handler = handler
 
-    def _async_render(self, request):
+    def _async_render(self, request: Request):
         # Cheekily pass the result straight through, so we don't need to worry
         # if its an awaitable or not.
         return self._handler(request)
diff --git a/synapse/http/federation/srv_resolver.py b/synapse/http/federation/srv_resolver.py
index b8ed4ec905..f68646fd0d 100644
--- a/synapse/http/federation/srv_resolver.py
+++ b/synapse/http/federation/srv_resolver.py
@@ -16,7 +16,7 @@
 import logging
 import random
 import time
-from typing import List
+from typing import Callable, Dict, List
 
 import attr
 
@@ -28,35 +28,35 @@ from synapse.logging.context import make_deferred_yieldable
 
 logger = logging.getLogger(__name__)
 
-SERVER_CACHE = {}
+SERVER_CACHE: Dict[bytes, List["Server"]] = {}
 
 
-@attr.s(slots=True, frozen=True)
+@attr.s(auto_attribs=True, slots=True, frozen=True)
 class Server:
     """
     Our record of an individual server which can be tried to reach a destination.
 
     Attributes:
-        host (bytes): target hostname
-        port (int):
-        priority (int):
-        weight (int):
-        expires (int): when the cache should expire this record - in *seconds* since
+        host: target hostname
+        port:
+        priority:
+        weight:
+        expires: when the cache should expire this record - in *seconds* since
             the epoch
     """
 
-    host = attr.ib()
-    port = attr.ib()
-    priority = attr.ib(default=0)
-    weight = attr.ib(default=0)
-    expires = attr.ib(default=0)
+    host: bytes
+    port: int
+    priority: int = 0
+    weight: int = 0
+    expires: int = 0
 
 
-def _sort_server_list(server_list):
+def _sort_server_list(server_list: List[Server]) -> List[Server]:
     """Given a list of SRV records sort them into priority order and shuffle
     each priority with the given weight.
     """
-    priority_map = {}
+    priority_map: Dict[int, List[Server]] = {}
 
     for server in server_list:
         priority_map.setdefault(server.priority, []).append(server)
@@ -103,11 +103,16 @@ class SrvResolver:
 
     Args:
         dns_client (twisted.internet.interfaces.IResolver): twisted resolver impl
-        cache (dict): cache object
-        get_time (callable): clock implementation. Should return seconds since the epoch
+        cache: cache object
+        get_time: clock implementation. Should return seconds since the epoch
     """
 
-    def __init__(self, dns_client=client, cache=SERVER_CACHE, get_time=time.time):
+    def __init__(
+        self,
+        dns_client=client,
+        cache: Dict[bytes, List[Server]] = SERVER_CACHE,
+        get_time: Callable[[], float] = time.time,
+    ):
         self._dns_client = dns_client
         self._cache = cache
         self._get_time = get_time
@@ -116,7 +121,7 @@ class SrvResolver:
         """Look up a SRV record
 
         Args:
-            service_name (bytes): record to look up
+            service_name: record to look up
 
         Returns:
             a list of the SRV records, or an empty list if none found
@@ -158,7 +163,7 @@ class SrvResolver:
             and answers[0].payload
             and answers[0].payload.target == dns.Name(b".")
         ):
-            raise ConnectError("Service %s unavailable" % service_name)
+            raise ConnectError(f"Service {service_name!r} unavailable")
 
         servers = []
 
diff --git a/synapse/http/proxyagent.py b/synapse/http/proxyagent.py
index a3f31452d0..6fd88bde20 100644
--- a/synapse/http/proxyagent.py
+++ b/synapse/http/proxyagent.py
@@ -173,7 +173,7 @@ class ProxyAgent(_AgentBase):
             raise ValueError(f"Invalid URI {uri!r}")
 
         parsed_uri = URI.fromBytes(uri)
-        pool_key = (parsed_uri.scheme, parsed_uri.host, parsed_uri.port)
+        pool_key = f"{parsed_uri.scheme!r}{parsed_uri.host!r}{parsed_uri.port}"
         request_path = parsed_uri.originForm
 
         should_skip_proxy = False
@@ -199,7 +199,7 @@ class ProxyAgent(_AgentBase):
                 )
             # Cache *all* connections under the same key, since we are only
             # connecting to a single destination, the proxy:
-            pool_key = ("http-proxy", self.http_proxy_endpoint)
+            pool_key = "http-proxy"
             endpoint = self.http_proxy_endpoint
             request_path = uri
         elif (
diff --git a/synapse/module_api/__init__.py b/synapse/module_api/__init__.py
index 2d2ed229e2..b11fa6393b 100644
--- a/synapse/module_api/__init__.py
+++ b/synapse/module_api/__init__.py
@@ -32,6 +32,7 @@ from twisted.internet import defer
 from twisted.web.resource import IResource
 
 from synapse.events import EventBase
+from synapse.events.presence_router import PresenceRouter
 from synapse.http.client import SimpleHttpClient
 from synapse.http.server import (
     DirectServeHtmlResource,
@@ -57,6 +58,8 @@ This package defines the 'stable' API which can be used by extension modules whi
 are loaded into Synapse.
 """
 
+PRESENCE_ALL_USERS = PresenceRouter.ALL_USERS
+
 __all__ = [
     "errors",
     "make_deferred_yieldable",
@@ -70,6 +73,7 @@ __all__ = [
     "DirectServeHtmlResource",
     "DirectServeJsonResource",
     "ModuleApi",
+    "PRESENCE_ALL_USERS",
 ]
 
 logger = logging.getLogger(__name__)
@@ -112,6 +116,7 @@ class ModuleApi:
         self._spam_checker = hs.get_spam_checker()
         self._account_validity_handler = hs.get_account_validity_handler()
         self._third_party_event_rules = hs.get_third_party_event_rules()
+        self._presence_router = hs.get_presence_router()
 
     #################################################################################
     # The following methods should only be called during the module's initialisation.
@@ -131,6 +136,11 @@ class ModuleApi:
         """Registers callbacks for third party event rules capabilities."""
         return self._third_party_event_rules.register_third_party_rules_callbacks
 
+    @property
+    def register_presence_router_callbacks(self):
+        """Registers callbacks for presence router capabilities."""
+        return self._presence_router.register_presence_router_callbacks
+
     def register_web_resource(self, path: str, resource: IResource):
         """Registers a web resource to be served at the given path.
 
diff --git a/synapse/python_dependencies.py b/synapse/python_dependencies.py
index cdcbdd772b..154e5b7028 100644
--- a/synapse/python_dependencies.py
+++ b/synapse/python_dependencies.py
@@ -48,7 +48,8 @@ logger = logging.getLogger(__name__)
 # [1] https://pip.pypa.io/en/stable/reference/pip_install/#requirement-specifiers.
 
 REQUIREMENTS = [
-    "jsonschema>=2.5.1",
+    # we use the TYPE_CHECKER.redefine method added in jsonschema 3.0.0
+    "jsonschema>=3.0.0",
     "frozendict>=1",
     "unpaddedbase64>=1.1.0",
     "canonicaljson>=1.4.0",
diff --git a/synapse/replication/http/federation.py b/synapse/replication/http/federation.py
index 79cadb7b57..a0b3145f4e 100644
--- a/synapse/replication/http/federation.py
+++ b/synapse/replication/http/federation.py
@@ -62,7 +62,7 @@ class ReplicationFederationSendEventsRestServlet(ReplicationEndpoint):
         self.store = hs.get_datastore()
         self.storage = hs.get_storage()
         self.clock = hs.get_clock()
-        self.federation_handler = hs.get_federation_handler()
+        self.federation_event_handler = hs.get_federation_event_handler()
 
     @staticmethod
     async def _serialize_payload(store, room_id, event_and_contexts, backfilled):
@@ -127,7 +127,7 @@ class ReplicationFederationSendEventsRestServlet(ReplicationEndpoint):
 
         logger.info("Got %d events from federation", len(event_and_contexts))
 
-        max_stream_id = await self.federation_handler.persist_events_and_notify(
+        max_stream_id = await self.federation_event_handler.persist_events_and_notify(
             room_id, event_and_contexts, backfilled
         )
 
diff --git a/synapse/res/templates/recaptcha.html b/synapse/res/templates/recaptcha.html
index 63944dc608..b3db06ef97 100644
--- a/synapse/res/templates/recaptcha.html
+++ b/synapse/res/templates/recaptcha.html
@@ -16,6 +16,9 @@ function captchaDone() {
 <body>
 <form id="registrationForm" method="post" action="{{ myurl }}">
     <div>
+        {% if error is defined %}
+            <p class="error"><strong>Error: {{ error }}</strong></p>
+        {% endif %}
         <p>
         Hello! We need to prevent computer programs and other automated
         things from creating accounts on this server.
diff --git a/synapse/res/templates/registration_token.html b/synapse/res/templates/registration_token.html
new file mode 100644
index 0000000000..4577ce1702
--- /dev/null
+++ b/synapse/res/templates/registration_token.html
@@ -0,0 +1,23 @@
+<html>
+<head>
+<title>Authentication</title>
+<meta name='viewport' content='width=device-width, initial-scale=1,
+    user-scalable=no, minimum-scale=1.0, maximum-scale=1.0'>
+<link rel="stylesheet" href="/_matrix/static/client/register/style.css">
+</head>
+<body>
+<form id="registrationForm" method="post" action="{{ myurl }}">
+    <div>
+        {% if error is defined %}
+            <p class="error"><strong>Error: {{ error }}</strong></p>
+        {% endif %}
+        <p>
+           Please enter a registration token.
+        </p>
+        <input type="hidden" name="session" value="{{ session }}" />
+        <input type="text" name="token" />
+        <input type="submit" value="Authenticate" />
+    </div>
+</form>
+</body>
+</html>
diff --git a/synapse/res/templates/terms.html b/synapse/res/templates/terms.html
index dfef9897ee..369ff446d2 100644
--- a/synapse/res/templates/terms.html
+++ b/synapse/res/templates/terms.html
@@ -8,6 +8,9 @@
 <body>
 <form id="registrationForm" method="post" action="{{ myurl }}">
     <div>
+        {% if error is defined %}
+            <p class="error"><strong>Error: {{ error }}</strong></p>
+        {% endif %}
         <p>
             Please click the button below if you agree to the
             <a href="{{ terms_url }}">privacy policy of this homeserver.</a>
diff --git a/synapse/rest/admin/__init__.py b/synapse/rest/admin/__init__.py
index d5862a4da4..b2514d9d0d 100644
--- a/synapse/rest/admin/__init__.py
+++ b/synapse/rest/admin/__init__.py
@@ -36,7 +36,11 @@ from synapse.rest.admin.event_reports import (
 )
 from synapse.rest.admin.groups import DeleteGroupAdminRestServlet
 from synapse.rest.admin.media import ListMediaInRoom, register_servlets_for_media_repo
-from synapse.rest.admin.purge_room_servlet import PurgeRoomServlet
+from synapse.rest.admin.registration_tokens import (
+    ListRegistrationTokensRestServlet,
+    NewRegistrationTokenRestServlet,
+    RegistrationTokenRestServlet,
+)
 from synapse.rest.admin.rooms import (
     DeleteRoomRestServlet,
     ForwardExtremitiesRestServlet,
@@ -47,7 +51,6 @@ from synapse.rest.admin.rooms import (
     RoomMembersRestServlet,
     RoomRestServlet,
     RoomStateRestServlet,
-    ShutdownRoomRestServlet,
 )
 from synapse.rest.admin.server_notice_servlet import SendServerNoticeServlet
 from synapse.rest.admin.statistics import UserMediaStatisticsRestServlet
@@ -220,8 +223,6 @@ def register_servlets(hs: "HomeServer", http_server: HttpServer) -> None:
     RoomMembersRestServlet(hs).register(http_server)
     DeleteRoomRestServlet(hs).register(http_server)
     JoinRoomAliasServlet(hs).register(http_server)
-    PurgeRoomServlet(hs).register(http_server)
-    SendServerNoticeServlet(hs).register(http_server)
     VersionServlet(hs).register(http_server)
     UserAdminServlet(hs).register(http_server)
     UserMembershipRestServlet(hs).register(http_server)
@@ -241,6 +242,13 @@ def register_servlets(hs: "HomeServer", http_server: HttpServer) -> None:
     RoomEventContextServlet(hs).register(http_server)
     RateLimitRestServlet(hs).register(http_server)
     UsernameAvailableRestServlet(hs).register(http_server)
+    ListRegistrationTokensRestServlet(hs).register(http_server)
+    NewRegistrationTokenRestServlet(hs).register(http_server)
+    RegistrationTokenRestServlet(hs).register(http_server)
+
+    # Some servlets only get registered for the main process.
+    if hs.config.worker_app is None:
+        SendServerNoticeServlet(hs).register(http_server)
 
 
 def register_servlets_for_client_rest_resource(
@@ -253,7 +261,6 @@ def register_servlets_for_client_rest_resource(
     PurgeHistoryRestServlet(hs).register(http_server)
     ResetPasswordRestServlet(hs).register(http_server)
     SearchUsersRestServlet(hs).register(http_server)
-    ShutdownRoomRestServlet(hs).register(http_server)
     UserRegisterServlet(hs).register(http_server)
     DeleteGroupAdminRestServlet(hs).register(http_server)
     AccountValidityRenewServlet(hs).register(http_server)
diff --git a/synapse/rest/admin/purge_room_servlet.py b/synapse/rest/admin/purge_room_servlet.py
deleted file mode 100644
index 2365ff7a0f..0000000000
--- a/synapse/rest/admin/purge_room_servlet.py
+++ /dev/null
@@ -1,58 +0,0 @@
-# Copyright 2019 The Matrix.org Foundation C.I.C.
-#
-# Licensed under the Apache License, Version 2.0 (the "License");
-# you may not use this file except in compliance with the License.
-# You may obtain a copy of the License at
-#
-#     http://www.apache.org/licenses/LICENSE-2.0
-#
-# Unless required by applicable law or agreed to in writing, software
-# distributed under the License is distributed on an "AS IS" BASIS,
-# WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
-# See the License for the specific language governing permissions and
-# limitations under the License.
-from typing import TYPE_CHECKING, Tuple
-
-from synapse.http.servlet import (
-    RestServlet,
-    assert_params_in_dict,
-    parse_json_object_from_request,
-)
-from synapse.http.site import SynapseRequest
-from synapse.rest.admin import assert_requester_is_admin
-from synapse.rest.admin._base import admin_patterns
-from synapse.types import JsonDict
-
-if TYPE_CHECKING:
-    from synapse.server import HomeServer
-
-
-class PurgeRoomServlet(RestServlet):
-    """Servlet which will remove all trace of a room from the database
-
-    POST /_synapse/admin/v1/purge_room
-    {
-        "room_id": "!room:id"
-    }
-
-    returns:
-
-    {}
-    """
-
-    PATTERNS = admin_patterns("/purge_room$")
-
-    def __init__(self, hs: "HomeServer"):
-        self.hs = hs
-        self.auth = hs.get_auth()
-        self.pagination_handler = hs.get_pagination_handler()
-
-    async def on_POST(self, request: SynapseRequest) -> Tuple[int, JsonDict]:
-        await assert_requester_is_admin(self.auth, request)
-
-        body = parse_json_object_from_request(request)
-        assert_params_in_dict(body, ("room_id",))
-
-        await self.pagination_handler.purge_room(body["room_id"])
-
-        return 200, {}
diff --git a/synapse/rest/admin/registration_tokens.py b/synapse/rest/admin/registration_tokens.py
new file mode 100644
index 0000000000..5a1c929d85
--- /dev/null
+++ b/synapse/rest/admin/registration_tokens.py
@@ -0,0 +1,321 @@
+# Copyright 2021 Callum Brown
+#
+# Licensed under the Apache License, Version 2.0 (the "License");
+# you may not use this file except in compliance with the License.
+# You may obtain a copy of the License at
+#
+#     http://www.apache.org/licenses/LICENSE-2.0
+#
+# Unless required by applicable law or agreed to in writing, software
+# distributed under the License is distributed on an "AS IS" BASIS,
+# WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+# See the License for the specific language governing permissions and
+# limitations under the License.
+
+import logging
+import string
+from typing import TYPE_CHECKING, Tuple
+
+from synapse.api.errors import Codes, NotFoundError, SynapseError
+from synapse.http.servlet import (
+    RestServlet,
+    parse_boolean,
+    parse_json_object_from_request,
+)
+from synapse.http.site import SynapseRequest
+from synapse.rest.admin._base import admin_patterns, assert_requester_is_admin
+from synapse.types import JsonDict
+
+if TYPE_CHECKING:
+    from synapse.server import HomeServer
+
+logger = logging.getLogger(__name__)
+
+
+class ListRegistrationTokensRestServlet(RestServlet):
+    """List registration tokens.
+
+    To list all tokens:
+
+        GET /_synapse/admin/v1/registration_tokens
+
+        200 OK
+
+        {
+            "registration_tokens": [
+                {
+                    "token": "abcd",
+                    "uses_allowed": 3,
+                    "pending": 0,
+                    "completed": 1,
+                    "expiry_time": null
+                },
+                {
+                    "token": "wxyz",
+                    "uses_allowed": null,
+                    "pending": 0,
+                    "completed": 9,
+                    "expiry_time": 1625394937000
+                }
+            ]
+        }
+
+    The optional query parameter `valid` can be used to filter the response.
+    If it is `true`, only valid tokens are returned. If it is `false`, only
+    tokens that have expired or have had all uses exhausted are returned.
+    If it is omitted, all tokens are returned regardless of validity.
+    """
+
+    PATTERNS = admin_patterns("/registration_tokens$")
+
+    def __init__(self, hs: "HomeServer"):
+        self.hs = hs
+        self.auth = hs.get_auth()
+        self.store = hs.get_datastore()
+
+    async def on_GET(self, request: SynapseRequest) -> Tuple[int, JsonDict]:
+        await assert_requester_is_admin(self.auth, request)
+        valid = parse_boolean(request, "valid")
+        token_list = await self.store.get_registration_tokens(valid)
+        return 200, {"registration_tokens": token_list}
+
+
+class NewRegistrationTokenRestServlet(RestServlet):
+    """Create a new registration token.
+
+    For example, to create a token specifying some fields:
+
+        POST /_synapse/admin/v1/registration_tokens/new
+
+        {
+            "token": "defg",
+            "uses_allowed": 1
+        }
+
+        200 OK
+
+        {
+            "token": "defg",
+            "uses_allowed": 1,
+            "pending": 0,
+            "completed": 0,
+            "expiry_time": null
+        }
+
+    Defaults are used for any fields not specified.
+    """
+
+    PATTERNS = admin_patterns("/registration_tokens/new$")
+
+    def __init__(self, hs: "HomeServer"):
+        self.hs = hs
+        self.auth = hs.get_auth()
+        self.store = hs.get_datastore()
+        self.clock = hs.get_clock()
+        # A string of all the characters allowed to be in a registration_token
+        self.allowed_chars = string.ascii_letters + string.digits + "-_"
+        self.allowed_chars_set = set(self.allowed_chars)
+
+    async def on_POST(self, request: SynapseRequest) -> Tuple[int, JsonDict]:
+        await assert_requester_is_admin(self.auth, request)
+        body = parse_json_object_from_request(request)
+
+        if "token" in body:
+            token = body["token"]
+            if not isinstance(token, str):
+                raise SynapseError(400, "token must be a string", Codes.INVALID_PARAM)
+            if not (0 < len(token) <= 64):
+                raise SynapseError(
+                    400,
+                    "token must not be empty and must not be longer than 64 characters",
+                    Codes.INVALID_PARAM,
+                )
+            if not set(token).issubset(self.allowed_chars_set):
+                raise SynapseError(
+                    400,
+                    "token must consist only of characters matched by the regex [A-Za-z0-9-_]",
+                    Codes.INVALID_PARAM,
+                )
+
+        else:
+            # Get length of token to generate (default is 16)
+            length = body.get("length", 16)
+            if not isinstance(length, int):
+                raise SynapseError(
+                    400, "length must be an integer", Codes.INVALID_PARAM
+                )
+            if not (0 < length <= 64):
+                raise SynapseError(
+                    400,
+                    "length must be greater than zero and not greater than 64",
+                    Codes.INVALID_PARAM,
+                )
+
+            # Generate token
+            token = await self.store.generate_registration_token(
+                length, self.allowed_chars
+            )
+
+        uses_allowed = body.get("uses_allowed", None)
+        if not (
+            uses_allowed is None
+            or (isinstance(uses_allowed, int) and uses_allowed >= 0)
+        ):
+            raise SynapseError(
+                400,
+                "uses_allowed must be a non-negative integer or null",
+                Codes.INVALID_PARAM,
+            )
+
+        expiry_time = body.get("expiry_time", None)
+        if not isinstance(expiry_time, (int, type(None))):
+            raise SynapseError(
+                400, "expiry_time must be an integer or null", Codes.INVALID_PARAM
+            )
+        if isinstance(expiry_time, int) and expiry_time < self.clock.time_msec():
+            raise SynapseError(
+                400, "expiry_time must not be in the past", Codes.INVALID_PARAM
+            )
+
+        created = await self.store.create_registration_token(
+            token, uses_allowed, expiry_time
+        )
+        if not created:
+            raise SynapseError(
+                400, f"Token already exists: {token}", Codes.INVALID_PARAM
+            )
+
+        resp = {
+            "token": token,
+            "uses_allowed": uses_allowed,
+            "pending": 0,
+            "completed": 0,
+            "expiry_time": expiry_time,
+        }
+        return 200, resp
+
+
+class RegistrationTokenRestServlet(RestServlet):
+    """Retrieve, update, or delete the given token.
+
+    For example,
+
+    to retrieve a token:
+
+        GET /_synapse/admin/v1/registration_tokens/abcd
+
+        200 OK
+
+        {
+            "token": "abcd",
+            "uses_allowed": 3,
+            "pending": 0,
+            "completed": 1,
+            "expiry_time": null
+        }
+
+
+    to update a token:
+
+        PUT /_synapse/admin/v1/registration_tokens/defg
+
+        {
+            "uses_allowed": 5,
+            "expiry_time": 4781243146000
+        }
+
+        200 OK
+
+        {
+            "token": "defg",
+            "uses_allowed": 5,
+            "pending": 0,
+            "completed": 0,
+            "expiry_time": 4781243146000
+        }
+
+
+    to delete a token:
+
+        DELETE /_synapse/admin/v1/registration_tokens/wxyz
+
+        200 OK
+
+        {}
+    """
+
+    PATTERNS = admin_patterns("/registration_tokens/(?P<token>[^/]*)$")
+
+    def __init__(self, hs: "HomeServer"):
+        self.hs = hs
+        self.clock = hs.get_clock()
+        self.auth = hs.get_auth()
+        self.store = hs.get_datastore()
+
+    async def on_GET(self, request: SynapseRequest, token: str) -> Tuple[int, JsonDict]:
+        """Retrieve a registration token."""
+        await assert_requester_is_admin(self.auth, request)
+        token_info = await self.store.get_one_registration_token(token)
+
+        # If no result return a 404
+        if token_info is None:
+            raise NotFoundError(f"No such registration token: {token}")
+
+        return 200, token_info
+
+    async def on_PUT(self, request: SynapseRequest, token: str) -> Tuple[int, JsonDict]:
+        """Update a registration token."""
+        await assert_requester_is_admin(self.auth, request)
+        body = parse_json_object_from_request(request)
+        new_attributes = {}
+
+        # Only add uses_allowed to new_attributes if it is present and valid
+        if "uses_allowed" in body:
+            uses_allowed = body["uses_allowed"]
+            if not (
+                uses_allowed is None
+                or (isinstance(uses_allowed, int) and uses_allowed >= 0)
+            ):
+                raise SynapseError(
+                    400,
+                    "uses_allowed must be a non-negative integer or null",
+                    Codes.INVALID_PARAM,
+                )
+            new_attributes["uses_allowed"] = uses_allowed
+
+        if "expiry_time" in body:
+            expiry_time = body["expiry_time"]
+            if not isinstance(expiry_time, (int, type(None))):
+                raise SynapseError(
+                    400, "expiry_time must be an integer or null", Codes.INVALID_PARAM
+                )
+            if isinstance(expiry_time, int) and expiry_time < self.clock.time_msec():
+                raise SynapseError(
+                    400, "expiry_time must not be in the past", Codes.INVALID_PARAM
+                )
+            new_attributes["expiry_time"] = expiry_time
+
+        if len(new_attributes) == 0:
+            # Nothing to update, get token info to return
+            token_info = await self.store.get_one_registration_token(token)
+        else:
+            token_info = await self.store.update_registration_token(
+                token, new_attributes
+            )
+
+        # If no result return a 404
+        if token_info is None:
+            raise NotFoundError(f"No such registration token: {token}")
+
+        return 200, token_info
+
+    async def on_DELETE(
+        self, request: SynapseRequest, token: str
+    ) -> Tuple[int, JsonDict]:
+        """Delete a registration token."""
+        await assert_requester_is_admin(self.auth, request)
+
+        if await self.store.delete_registration_token(token):
+            return 200, {}
+
+        raise NotFoundError(f"No such registration token: {token}")
diff --git a/synapse/rest/admin/rooms.py b/synapse/rest/admin/rooms.py
index 975c28b225..ad83d4b54c 100644
--- a/synapse/rest/admin/rooms.py
+++ b/synapse/rest/admin/rooms.py
@@ -46,41 +46,6 @@ if TYPE_CHECKING:
 logger = logging.getLogger(__name__)
 
 
-class ShutdownRoomRestServlet(RestServlet):
-    """Shuts down a room by removing all local users from the room and blocking
-    all future invites and joins to the room. Any local aliases will be repointed
-    to a new room created by `new_room_user_id` and kicked users will be auto
-    joined to the new room.
-    """
-
-    PATTERNS = admin_patterns("/shutdown_room/(?P<room_id>[^/]+)")
-
-    def __init__(self, hs: "HomeServer"):
-        self.hs = hs
-        self.auth = hs.get_auth()
-        self.room_shutdown_handler = hs.get_room_shutdown_handler()
-
-    async def on_POST(
-        self, request: SynapseRequest, room_id: str
-    ) -> Tuple[int, JsonDict]:
-        requester = await self.auth.get_user_by_req(request)
-        await assert_user_is_admin(self.auth, requester.user)
-
-        content = parse_json_object_from_request(request)
-        assert_params_in_dict(content, ["new_room_user_id"])
-
-        ret = await self.room_shutdown_handler.shutdown_room(
-            room_id=room_id,
-            new_room_user_id=content["new_room_user_id"],
-            new_room_name=content.get("room_name"),
-            message=content.get("message"),
-            requester_user_id=requester.user.to_string(),
-            block=True,
-        )
-
-        return (200, ret)
-
-
 class DeleteRoomRestServlet(RestServlet):
     """Delete a room from server.
 
diff --git a/synapse/rest/admin/server_notice_servlet.py b/synapse/rest/admin/server_notice_servlet.py
index b5e4c474ef..42201afc86 100644
--- a/synapse/rest/admin/server_notice_servlet.py
+++ b/synapse/rest/admin/server_notice_servlet.py
@@ -14,7 +14,7 @@
 from typing import TYPE_CHECKING, Optional, Tuple
 
 from synapse.api.constants import EventTypes
-from synapse.api.errors import SynapseError
+from synapse.api.errors import NotFoundError, SynapseError
 from synapse.http.server import HttpServer
 from synapse.http.servlet import (
     RestServlet,
@@ -53,6 +53,8 @@ class SendServerNoticeServlet(RestServlet):
     def __init__(self, hs: "HomeServer"):
         self.hs = hs
         self.auth = hs.get_auth()
+        self.server_notices_manager = hs.get_server_notices_manager()
+        self.admin_handler = hs.get_admin_handler()
         self.txns = HttpTransactionCache(hs)
 
     def register(self, json_resource: HttpServer):
@@ -79,19 +81,22 @@ class SendServerNoticeServlet(RestServlet):
         # We grab the server notices manager here as its initialisation has a check for worker processes,
         # but worker processes still need to initialise SendServerNoticeServlet (as it is part of the
         # admin api).
-        if not self.hs.get_server_notices_manager().is_enabled():
+        if not self.server_notices_manager.is_enabled():
             raise SynapseError(400, "Server notices are not enabled on this server")
 
-        user_id = body["user_id"]
-        UserID.from_string(user_id)
-        if not self.hs.is_mine_id(user_id):
+        target_user = UserID.from_string(body["user_id"])
+        if not self.hs.is_mine(target_user):
             raise SynapseError(400, "Server notices can only be sent to local users")
 
-        event = await self.hs.get_server_notices_manager().send_notice(
-            user_id=body["user_id"],
+        if not await self.admin_handler.get_user(target_user):
+            raise NotFoundError("User not found")
+
+        event = await self.server_notices_manager.send_notice(
+            user_id=target_user.to_string(),
             type=event_type,
             state_key=state_key,
             event_content=body["content"],
+            txn_id=txn_id,
         )
 
         return 200, {"event_id": event.event_id}
diff --git a/synapse/rest/admin/users.py b/synapse/rest/admin/users.py
index 3c8a0c6883..c1a1ba645e 100644
--- a/synapse/rest/admin/users.py
+++ b/synapse/rest/admin/users.py
@@ -228,13 +228,18 @@ class UserRestServletV2(RestServlet):
         if not isinstance(deactivate, bool):
             raise SynapseError(400, "'deactivated' parameter is not of type boolean")
 
-        # convert into List[Tuple[str, str]]
+        # convert List[Dict[str, str]] into Set[Tuple[str, str]]
         if external_ids is not None:
-            new_external_ids = []
-            for external_id in external_ids:
-                new_external_ids.append(
-                    (external_id["auth_provider"], external_id["external_id"])
-                )
+            new_external_ids = {
+                (external_id["auth_provider"], external_id["external_id"])
+                for external_id in external_ids
+            }
+
+        # convert List[Dict[str, str]] into Set[Tuple[str, str]]
+        if threepids is not None:
+            new_threepids = {
+                (threepid["medium"], threepid["address"]) for threepid in threepids
+            }
 
         if user:  # modify user
             if "displayname" in body:
@@ -243,29 +248,39 @@ class UserRestServletV2(RestServlet):
                 )
 
             if threepids is not None:
-                # remove old threepids from user
-                old_threepids = await self.store.user_get_threepids(user_id)
-                for threepid in old_threepids:
+                # get changed threepids (added and removed)
+                # convert List[Dict[str, Any]] into Set[Tuple[str, str]]
+                cur_threepids = {
+                    (threepid["medium"], threepid["address"])
+                    for threepid in await self.store.user_get_threepids(user_id)
+                }
+                add_threepids = new_threepids - cur_threepids
+                del_threepids = cur_threepids - new_threepids
+
+                # remove old threepids
+                for medium, address in del_threepids:
                     try:
                         await self.auth_handler.delete_threepid(
-                            user_id, threepid["medium"], threepid["address"], None
+                            user_id, medium, address, None
                         )
                     except Exception:
                         logger.exception("Failed to remove threepids")
                         raise SynapseError(500, "Failed to remove threepids")
 
-                # add new threepids to user
+                # add new threepids
                 current_time = self.hs.get_clock().time_msec()
-                for threepid in threepids:
+                for medium, address in add_threepids:
                     await self.auth_handler.add_threepid(
-                        user_id, threepid["medium"], threepid["address"], current_time
+                        user_id, medium, address, current_time
                     )
 
             if external_ids is not None:
                 # get changed external_ids (added and removed)
-                cur_external_ids = await self.store.get_external_ids_by_user(user_id)
-                add_external_ids = set(new_external_ids) - set(cur_external_ids)
-                del_external_ids = set(cur_external_ids) - set(new_external_ids)
+                cur_external_ids = set(
+                    await self.store.get_external_ids_by_user(user_id)
+                )
+                add_external_ids = new_external_ids - cur_external_ids
+                del_external_ids = cur_external_ids - new_external_ids
 
                 # remove old external_ids
                 for auth_provider, external_id in del_external_ids:
@@ -348,9 +363,9 @@ class UserRestServletV2(RestServlet):
 
             if threepids is not None:
                 current_time = self.hs.get_clock().time_msec()
-                for threepid in threepids:
+                for medium, address in new_threepids:
                     await self.auth_handler.add_threepid(
-                        user_id, threepid["medium"], threepid["address"], current_time
+                        user_id, medium, address, current_time
                     )
                     if (
                         self.hs.config.email_enable_notifs
@@ -362,8 +377,8 @@ class UserRestServletV2(RestServlet):
                             kind="email",
                             app_id="m.email",
                             app_display_name="Email Notifications",
-                            device_display_name=threepid["address"],
-                            pushkey=threepid["address"],
+                            device_display_name=address,
+                            pushkey=address,
                             lang=None,  # We don't know a user's language here
                             data={},
                         )
diff --git a/synapse/rest/client/account_validity.py b/synapse/rest/client/account_validity.py
index 3ebe401861..6c24b96c54 100644
--- a/synapse/rest/client/account_validity.py
+++ b/synapse/rest/client/account_validity.py
@@ -13,24 +13,27 @@
 # limitations under the License.
 
 import logging
+from typing import TYPE_CHECKING, Tuple
 
-from synapse.api.errors import SynapseError
-from synapse.http.server import respond_with_html
-from synapse.http.servlet import RestServlet
+from twisted.web.server import Request
+
+from synapse.http.server import HttpServer, respond_with_html
+from synapse.http.servlet import RestServlet, parse_string
+from synapse.http.site import SynapseRequest
+from synapse.types import JsonDict
 
 from ._base import client_patterns
 
+if TYPE_CHECKING:
+    from synapse.server import HomeServer
+
 logger = logging.getLogger(__name__)
 
 
 class AccountValidityRenewServlet(RestServlet):
     PATTERNS = client_patterns("/account_validity/renew$")
 
-    def __init__(self, hs):
-        """
-        Args:
-            hs (synapse.server.HomeServer): server
-        """
+    def __init__(self, hs: "HomeServer"):
         super().__init__()
 
         self.hs = hs
@@ -46,18 +49,14 @@ class AccountValidityRenewServlet(RestServlet):
             hs.config.account_validity.account_validity_invalid_token_template
         )
 
-    async def on_GET(self, request):
-        if b"token" not in request.args:
-            raise SynapseError(400, "Missing renewal token")
-        renewal_token = request.args[b"token"][0]
+    async def on_GET(self, request: Request) -> None:
+        renewal_token = parse_string(request, "token", required=True)
 
         (
             token_valid,
             token_stale,
             expiration_ts,
-        ) = await self.account_activity_handler.renew_account(
-            renewal_token.decode("utf8")
-        )
+        ) = await self.account_activity_handler.renew_account(renewal_token)
 
         if token_valid:
             status_code = 200
@@ -77,11 +76,7 @@ class AccountValidityRenewServlet(RestServlet):
 class AccountValiditySendMailServlet(RestServlet):
     PATTERNS = client_patterns("/account_validity/send_mail$")
 
-    def __init__(self, hs):
-        """
-        Args:
-            hs (synapse.server.HomeServer): server
-        """
+    def __init__(self, hs: "HomeServer"):
         super().__init__()
 
         self.hs = hs
@@ -91,7 +86,7 @@ class AccountValiditySendMailServlet(RestServlet):
             hs.config.account_validity.account_validity_renew_by_email_enabled
         )
 
-    async def on_POST(self, request):
+    async def on_POST(self, request: SynapseRequest) -> Tuple[int, JsonDict]:
         requester = await self.auth.get_user_by_req(request, allow_expired=True)
         user_id = requester.user.to_string()
         await self.account_activity_handler.send_renewal_email_to_user(user_id)
@@ -99,6 +94,6 @@ class AccountValiditySendMailServlet(RestServlet):
         return 200, {}
 
 
-def register_servlets(hs, http_server):
+def register_servlets(hs: "HomeServer", http_server: HttpServer) -> None:
     AccountValidityRenewServlet(hs).register(http_server)
     AccountValiditySendMailServlet(hs).register(http_server)
diff --git a/synapse/rest/client/auth.py b/synapse/rest/client/auth.py
index 6ea1b50a62..df8cc4ac7a 100644
--- a/synapse/rest/client/auth.py
+++ b/synapse/rest/client/auth.py
@@ -15,11 +15,14 @@
 import logging
 from typing import TYPE_CHECKING
 
+from twisted.web.server import Request
+
 from synapse.api.constants import LoginType
-from synapse.api.errors import SynapseError
+from synapse.api.errors import LoginError, SynapseError
 from synapse.api.urls import CLIENT_API_PREFIX
-from synapse.http.server import respond_with_html
+from synapse.http.server import HttpServer, respond_with_html
 from synapse.http.servlet import RestServlet, parse_string
+from synapse.http.site import SynapseRequest
 
 from ._base import client_patterns
 
@@ -46,9 +49,10 @@ class AuthRestServlet(RestServlet):
         self.registration_handler = hs.get_registration_handler()
         self.recaptcha_template = hs.config.recaptcha_template
         self.terms_template = hs.config.terms_template
+        self.registration_token_template = hs.config.registration_token_template
         self.success_template = hs.config.fallback_success_template
 
-    async def on_GET(self, request, stagetype):
+    async def on_GET(self, request: SynapseRequest, stagetype: str) -> None:
         session = parse_string(request, "session")
         if not session:
             raise SynapseError(400, "No session supplied")
@@ -74,6 +78,12 @@ class AuthRestServlet(RestServlet):
             # re-authenticate with their SSO provider.
             html = await self.auth_handler.start_sso_ui_auth(request, session)
 
+        elif stagetype == LoginType.REGISTRATION_TOKEN:
+            html = self.registration_token_template.render(
+                session=session,
+                myurl=f"{CLIENT_API_PREFIX}/r0/auth/{LoginType.REGISTRATION_TOKEN}/fallback/web",
+            )
+
         else:
             raise SynapseError(404, "Unknown auth stage type")
 
@@ -81,7 +91,7 @@ class AuthRestServlet(RestServlet):
         respond_with_html(request, 200, html)
         return None
 
-    async def on_POST(self, request, stagetype):
+    async def on_POST(self, request: Request, stagetype: str) -> None:
 
         session = parse_string(request, "session")
         if not session:
@@ -95,29 +105,32 @@ class AuthRestServlet(RestServlet):
 
             authdict = {"response": response, "session": session}
 
-            success = await self.auth_handler.add_oob_auth(
-                LoginType.RECAPTCHA, authdict, request.getClientIP()
-            )
-
-            if success:
-                html = self.success_template.render()
-            else:
+            try:
+                await self.auth_handler.add_oob_auth(
+                    LoginType.RECAPTCHA, authdict, request.getClientIP()
+                )
+            except LoginError as e:
+                # Authentication failed, let user try again
                 html = self.recaptcha_template.render(
                     session=session,
                     myurl="%s/r0/auth/%s/fallback/web"
                     % (CLIENT_API_PREFIX, LoginType.RECAPTCHA),
                     sitekey=self.hs.config.recaptcha_public_key,
+                    error=e.msg,
                 )
+            else:
+                # No LoginError was raised, so authentication was successful
+                html = self.success_template.render()
+
         elif stagetype == LoginType.TERMS:
             authdict = {"session": session}
 
-            success = await self.auth_handler.add_oob_auth(
-                LoginType.TERMS, authdict, request.getClientIP()
-            )
-
-            if success:
-                html = self.success_template.render()
-            else:
+            try:
+                await self.auth_handler.add_oob_auth(
+                    LoginType.TERMS, authdict, request.getClientIP()
+                )
+            except LoginError as e:
+                # Authentication failed, let user try again
                 html = self.terms_template.render(
                     session=session,
                     terms_url="%s_matrix/consent?v=%s"
@@ -127,10 +140,33 @@ class AuthRestServlet(RestServlet):
                     ),
                     myurl="%s/r0/auth/%s/fallback/web"
                     % (CLIENT_API_PREFIX, LoginType.TERMS),
+                    error=e.msg,
                 )
+            else:
+                # No LoginError was raised, so authentication was successful
+                html = self.success_template.render()
+
         elif stagetype == LoginType.SSO:
             # The SSO fallback workflow should not post here,
             raise SynapseError(404, "Fallback SSO auth does not support POST requests.")
+
+        elif stagetype == LoginType.REGISTRATION_TOKEN:
+            token = parse_string(request, "token", required=True)
+            authdict = {"session": session, "token": token}
+
+            try:
+                await self.auth_handler.add_oob_auth(
+                    LoginType.REGISTRATION_TOKEN, authdict, request.getClientIP()
+                )
+            except LoginError as e:
+                html = self.registration_token_template.render(
+                    session=session,
+                    myurl=f"{CLIENT_API_PREFIX}/r0/auth/{LoginType.REGISTRATION_TOKEN}/fallback/web",
+                    error=e.msg,
+                )
+            else:
+                html = self.success_template.render()
+
         else:
             raise SynapseError(404, "Unknown auth stage type")
 
@@ -139,5 +175,5 @@ class AuthRestServlet(RestServlet):
         return None
 
 
-def register_servlets(hs, http_server):
+def register_servlets(hs: "HomeServer", http_server: HttpServer) -> None:
     AuthRestServlet(hs).register(http_server)
diff --git a/synapse/rest/client/capabilities.py b/synapse/rest/client/capabilities.py
index 88e3aac797..65b3b5ce2c 100644
--- a/synapse/rest/client/capabilities.py
+++ b/synapse/rest/client/capabilities.py
@@ -15,6 +15,7 @@ import logging
 from typing import TYPE_CHECKING, Tuple
 
 from synapse.api.room_versions import KNOWN_ROOM_VERSIONS, MSC3244_CAPABILITIES
+from synapse.http.server import HttpServer
 from synapse.http.servlet import RestServlet
 from synapse.http.site import SynapseRequest
 from synapse.types import JsonDict
@@ -61,8 +62,19 @@ class CapabilitiesRestServlet(RestServlet):
                 "org.matrix.msc3244.room_capabilities"
             ] = MSC3244_CAPABILITIES
 
+        if self.config.experimental.msc3283_enabled:
+            response["capabilities"]["org.matrix.msc3283.set_displayname"] = {
+                "enabled": self.config.enable_set_displayname
+            }
+            response["capabilities"]["org.matrix.msc3283.set_avatar_url"] = {
+                "enabled": self.config.enable_set_avatar_url
+            }
+            response["capabilities"]["org.matrix.msc3283.3pid_changes"] = {
+                "enabled": self.config.enable_3pid_changes
+            }
+
         return 200, response
 
 
-def register_servlets(hs: "HomeServer", http_server):
+def register_servlets(hs: "HomeServer", http_server: HttpServer) -> None:
     CapabilitiesRestServlet(hs).register(http_server)
diff --git a/synapse/rest/client/devices.py b/synapse/rest/client/devices.py
index 8b9674db06..25bc3c8f47 100644
--- a/synapse/rest/client/devices.py
+++ b/synapse/rest/client/devices.py
@@ -14,34 +14,36 @@
 # limitations under the License.
 
 import logging
+from typing import TYPE_CHECKING, Tuple
 
 from synapse.api import errors
+from synapse.http.server import HttpServer
 from synapse.http.servlet import (
     RestServlet,
     assert_params_in_dict,
     parse_json_object_from_request,
 )
 from synapse.http.site import SynapseRequest
+from synapse.types import JsonDict
 
 from ._base import client_patterns, interactive_auth_handler
 
+if TYPE_CHECKING:
+    from synapse.server import HomeServer
+
 logger = logging.getLogger(__name__)
 
 
 class DevicesRestServlet(RestServlet):
     PATTERNS = client_patterns("/devices$")
 
-    def __init__(self, hs):
-        """
-        Args:
-            hs (synapse.server.HomeServer): server
-        """
+    def __init__(self, hs: "HomeServer"):
         super().__init__()
         self.hs = hs
         self.auth = hs.get_auth()
         self.device_handler = hs.get_device_handler()
 
-    async def on_GET(self, request):
+    async def on_GET(self, request: SynapseRequest) -> Tuple[int, JsonDict]:
         requester = await self.auth.get_user_by_req(request, allow_guest=True)
         devices = await self.device_handler.get_devices_by_user(
             requester.user.to_string()
@@ -57,7 +59,7 @@ class DeleteDevicesRestServlet(RestServlet):
 
     PATTERNS = client_patterns("/delete_devices")
 
-    def __init__(self, hs):
+    def __init__(self, hs: "HomeServer"):
         super().__init__()
         self.hs = hs
         self.auth = hs.get_auth()
@@ -65,7 +67,7 @@ class DeleteDevicesRestServlet(RestServlet):
         self.auth_handler = hs.get_auth_handler()
 
     @interactive_auth_handler
-    async def on_POST(self, request):
+    async def on_POST(self, request: SynapseRequest) -> Tuple[int, JsonDict]:
         requester = await self.auth.get_user_by_req(request)
 
         try:
@@ -100,18 +102,16 @@ class DeleteDevicesRestServlet(RestServlet):
 class DeviceRestServlet(RestServlet):
     PATTERNS = client_patterns("/devices/(?P<device_id>[^/]*)$")
 
-    def __init__(self, hs):
-        """
-        Args:
-            hs (synapse.server.HomeServer): server
-        """
+    def __init__(self, hs: "HomeServer"):
         super().__init__()
         self.hs = hs
         self.auth = hs.get_auth()
         self.device_handler = hs.get_device_handler()
         self.auth_handler = hs.get_auth_handler()
 
-    async def on_GET(self, request, device_id):
+    async def on_GET(
+        self, request: SynapseRequest, device_id: str
+    ) -> Tuple[int, JsonDict]:
         requester = await self.auth.get_user_by_req(request, allow_guest=True)
         device = await self.device_handler.get_device(
             requester.user.to_string(), device_id
@@ -119,7 +119,9 @@ class DeviceRestServlet(RestServlet):
         return 200, device
 
     @interactive_auth_handler
-    async def on_DELETE(self, request, device_id):
+    async def on_DELETE(
+        self, request: SynapseRequest, device_id: str
+    ) -> Tuple[int, JsonDict]:
         requester = await self.auth.get_user_by_req(request)
 
         try:
@@ -146,7 +148,9 @@ class DeviceRestServlet(RestServlet):
         await self.device_handler.delete_device(requester.user.to_string(), device_id)
         return 200, {}
 
-    async def on_PUT(self, request, device_id):
+    async def on_PUT(
+        self, request: SynapseRequest, device_id: str
+    ) -> Tuple[int, JsonDict]:
         requester = await self.auth.get_user_by_req(request, allow_guest=True)
 
         body = parse_json_object_from_request(request)
@@ -193,13 +197,13 @@ class DehydratedDeviceServlet(RestServlet):
 
     PATTERNS = client_patterns("/org.matrix.msc2697.v2/dehydrated_device", releases=())
 
-    def __init__(self, hs):
+    def __init__(self, hs: "HomeServer"):
         super().__init__()
         self.hs = hs
         self.auth = hs.get_auth()
         self.device_handler = hs.get_device_handler()
 
-    async def on_GET(self, request: SynapseRequest):
+    async def on_GET(self, request: SynapseRequest) -> Tuple[int, JsonDict]:
         requester = await self.auth.get_user_by_req(request)
         dehydrated_device = await self.device_handler.get_dehydrated_device(
             requester.user.to_string()
@@ -211,7 +215,7 @@ class DehydratedDeviceServlet(RestServlet):
         else:
             raise errors.NotFoundError("No dehydrated device available")
 
-    async def on_PUT(self, request: SynapseRequest):
+    async def on_PUT(self, request: SynapseRequest) -> Tuple[int, JsonDict]:
         submission = parse_json_object_from_request(request)
         requester = await self.auth.get_user_by_req(request)
 
@@ -259,13 +263,13 @@ class ClaimDehydratedDeviceServlet(RestServlet):
         "/org.matrix.msc2697.v2/dehydrated_device/claim", releases=()
     )
 
-    def __init__(self, hs):
+    def __init__(self, hs: "HomeServer"):
         super().__init__()
         self.hs = hs
         self.auth = hs.get_auth()
         self.device_handler = hs.get_device_handler()
 
-    async def on_POST(self, request: SynapseRequest):
+    async def on_POST(self, request: SynapseRequest) -> Tuple[int, JsonDict]:
         requester = await self.auth.get_user_by_req(request)
 
         submission = parse_json_object_from_request(request)
@@ -292,7 +296,7 @@ class ClaimDehydratedDeviceServlet(RestServlet):
         return (200, result)
 
 
-def register_servlets(hs, http_server):
+def register_servlets(hs: "HomeServer", http_server: HttpServer) -> None:
     DeleteDevicesRestServlet(hs).register(http_server)
     DevicesRestServlet(hs).register(http_server)
     DeviceRestServlet(hs).register(http_server)
diff --git a/synapse/rest/client/directory.py b/synapse/rest/client/directory.py
index ffa075c8e5..ee247e3d1e 100644
--- a/synapse/rest/client/directory.py
+++ b/synapse/rest/client/directory.py
@@ -12,8 +12,10 @@
 # See the License for the specific language governing permissions and
 # limitations under the License.
 
-
 import logging
+from typing import TYPE_CHECKING, Tuple
+
+from twisted.web.server import Request
 
 from synapse.api.errors import (
     AuthError,
@@ -22,14 +24,19 @@ from synapse.api.errors import (
     NotFoundError,
     SynapseError,
 )
+from synapse.http.server import HttpServer
 from synapse.http.servlet import RestServlet, parse_json_object_from_request
+from synapse.http.site import SynapseRequest
 from synapse.rest.client._base import client_patterns
-from synapse.types import RoomAlias
+from synapse.types import JsonDict, RoomAlias
+
+if TYPE_CHECKING:
+    from synapse.server import HomeServer
 
 logger = logging.getLogger(__name__)
 
 
-def register_servlets(hs, http_server):
+def register_servlets(hs: "HomeServer", http_server: HttpServer) -> None:
     ClientDirectoryServer(hs).register(http_server)
     ClientDirectoryListServer(hs).register(http_server)
     ClientAppserviceDirectoryListServer(hs).register(http_server)
@@ -38,21 +45,23 @@ def register_servlets(hs, http_server):
 class ClientDirectoryServer(RestServlet):
     PATTERNS = client_patterns("/directory/room/(?P<room_alias>[^/]*)$", v1=True)
 
-    def __init__(self, hs):
+    def __init__(self, hs: "HomeServer"):
         super().__init__()
         self.store = hs.get_datastore()
         self.directory_handler = hs.get_directory_handler()
         self.auth = hs.get_auth()
 
-    async def on_GET(self, request, room_alias):
-        room_alias = RoomAlias.from_string(room_alias)
+    async def on_GET(self, request: Request, room_alias: str) -> Tuple[int, JsonDict]:
+        room_alias_obj = RoomAlias.from_string(room_alias)
 
-        res = await self.directory_handler.get_association(room_alias)
+        res = await self.directory_handler.get_association(room_alias_obj)
 
         return 200, res
 
-    async def on_PUT(self, request, room_alias):
-        room_alias = RoomAlias.from_string(room_alias)
+    async def on_PUT(
+        self, request: SynapseRequest, room_alias: str
+    ) -> Tuple[int, JsonDict]:
+        room_alias_obj = RoomAlias.from_string(room_alias)
 
         content = parse_json_object_from_request(request)
         if "room_id" not in content:
@@ -61,7 +70,7 @@ class ClientDirectoryServer(RestServlet):
             )
 
         logger.debug("Got content: %s", content)
-        logger.debug("Got room name: %s", room_alias.to_string())
+        logger.debug("Got room name: %s", room_alias_obj.to_string())
 
         room_id = content["room_id"]
         servers = content["servers"] if "servers" in content else None
@@ -78,22 +87,25 @@ class ClientDirectoryServer(RestServlet):
         requester = await self.auth.get_user_by_req(request)
 
         await self.directory_handler.create_association(
-            requester, room_alias, room_id, servers
+            requester, room_alias_obj, room_id, servers
         )
 
         return 200, {}
 
-    async def on_DELETE(self, request, room_alias):
+    async def on_DELETE(
+        self, request: SynapseRequest, room_alias: str
+    ) -> Tuple[int, JsonDict]:
+        room_alias_obj = RoomAlias.from_string(room_alias)
+
         try:
             service = self.auth.get_appservice_by_req(request)
-            room_alias = RoomAlias.from_string(room_alias)
             await self.directory_handler.delete_appservice_association(
-                service, room_alias
+                service, room_alias_obj
             )
             logger.info(
                 "Application service at %s deleted alias %s",
                 service.url,
-                room_alias.to_string(),
+                room_alias_obj.to_string(),
             )
             return 200, {}
         except InvalidClientCredentialsError:
@@ -103,12 +115,10 @@ class ClientDirectoryServer(RestServlet):
         requester = await self.auth.get_user_by_req(request)
         user = requester.user
 
-        room_alias = RoomAlias.from_string(room_alias)
-
-        await self.directory_handler.delete_association(requester, room_alias)
+        await self.directory_handler.delete_association(requester, room_alias_obj)
 
         logger.info(
-            "User %s deleted alias %s", user.to_string(), room_alias.to_string()
+            "User %s deleted alias %s", user.to_string(), room_alias_obj.to_string()
         )
 
         return 200, {}
@@ -117,20 +127,22 @@ class ClientDirectoryServer(RestServlet):
 class ClientDirectoryListServer(RestServlet):
     PATTERNS = client_patterns("/directory/list/room/(?P<room_id>[^/]*)$", v1=True)
 
-    def __init__(self, hs):
+    def __init__(self, hs: "HomeServer"):
         super().__init__()
         self.store = hs.get_datastore()
         self.directory_handler = hs.get_directory_handler()
         self.auth = hs.get_auth()
 
-    async def on_GET(self, request, room_id):
+    async def on_GET(self, request: Request, room_id: str) -> Tuple[int, JsonDict]:
         room = await self.store.get_room(room_id)
         if room is None:
             raise NotFoundError("Unknown room")
 
         return 200, {"visibility": "public" if room["is_public"] else "private"}
 
-    async def on_PUT(self, request, room_id):
+    async def on_PUT(
+        self, request: SynapseRequest, room_id: str
+    ) -> Tuple[int, JsonDict]:
         requester = await self.auth.get_user_by_req(request)
 
         content = parse_json_object_from_request(request)
@@ -142,7 +154,9 @@ class ClientDirectoryListServer(RestServlet):
 
         return 200, {}
 
-    async def on_DELETE(self, request, room_id):
+    async def on_DELETE(
+        self, request: SynapseRequest, room_id: str
+    ) -> Tuple[int, JsonDict]:
         requester = await self.auth.get_user_by_req(request)
 
         await self.directory_handler.edit_published_room_list(
@@ -157,21 +171,27 @@ class ClientAppserviceDirectoryListServer(RestServlet):
         "/directory/list/appservice/(?P<network_id>[^/]*)/(?P<room_id>[^/]*)$", v1=True
     )
 
-    def __init__(self, hs):
+    def __init__(self, hs: "HomeServer"):
         super().__init__()
         self.store = hs.get_datastore()
         self.directory_handler = hs.get_directory_handler()
         self.auth = hs.get_auth()
 
-    def on_PUT(self, request, network_id, room_id):
+    async def on_PUT(
+        self, request: SynapseRequest, network_id: str, room_id: str
+    ) -> Tuple[int, JsonDict]:
         content = parse_json_object_from_request(request)
         visibility = content.get("visibility", "public")
-        return self._edit(request, network_id, room_id, visibility)
+        return await self._edit(request, network_id, room_id, visibility)
 
-    def on_DELETE(self, request, network_id, room_id):
-        return self._edit(request, network_id, room_id, "private")
+    async def on_DELETE(
+        self, request: SynapseRequest, network_id: str, room_id: str
+    ) -> Tuple[int, JsonDict]:
+        return await self._edit(request, network_id, room_id, "private")
 
-    async def _edit(self, request, network_id, room_id, visibility):
+    async def _edit(
+        self, request: SynapseRequest, network_id: str, room_id: str, visibility: str
+    ) -> Tuple[int, JsonDict]:
         requester = await self.auth.get_user_by_req(request)
         if not requester.app_service:
             raise AuthError(
diff --git a/synapse/rest/client/events.py b/synapse/rest/client/events.py
index 52bb579cfd..13b72a045a 100644
--- a/synapse/rest/client/events.py
+++ b/synapse/rest/client/events.py
@@ -14,11 +14,18 @@
 
 """This module contains REST servlets to do with event streaming, /events."""
 import logging
+from typing import TYPE_CHECKING, Dict, List, Tuple, Union
 
 from synapse.api.errors import SynapseError
-from synapse.http.servlet import RestServlet
+from synapse.http.server import HttpServer
+from synapse.http.servlet import RestServlet, parse_string
+from synapse.http.site import SynapseRequest
 from synapse.rest.client._base import client_patterns
 from synapse.streams.config import PaginationConfig
+from synapse.types import JsonDict
+
+if TYPE_CHECKING:
+    from synapse.server import HomeServer
 
 logger = logging.getLogger(__name__)
 
@@ -28,31 +35,30 @@ class EventStreamRestServlet(RestServlet):
 
     DEFAULT_LONGPOLL_TIME_MS = 30000
 
-    def __init__(self, hs):
+    def __init__(self, hs: "HomeServer"):
         super().__init__()
         self.event_stream_handler = hs.get_event_stream_handler()
         self.auth = hs.get_auth()
         self.store = hs.get_datastore()
 
-    async def on_GET(self, request):
+    async def on_GET(self, request: SynapseRequest) -> Tuple[int, JsonDict]:
         requester = await self.auth.get_user_by_req(request, allow_guest=True)
         is_guest = requester.is_guest
-        room_id = None
+        args: Dict[bytes, List[bytes]] = request.args  # type: ignore
         if is_guest:
-            if b"room_id" not in request.args:
+            if b"room_id" not in args:
                 raise SynapseError(400, "Guest users must specify room_id param")
-        if b"room_id" in request.args:
-            room_id = request.args[b"room_id"][0].decode("ascii")
+        room_id = parse_string(request, "room_id")
 
         pagin_config = await PaginationConfig.from_request(self.store, request)
         timeout = EventStreamRestServlet.DEFAULT_LONGPOLL_TIME_MS
-        if b"timeout" in request.args:
+        if b"timeout" in args:
             try:
-                timeout = int(request.args[b"timeout"][0])
+                timeout = int(args[b"timeout"][0])
             except ValueError:
                 raise SynapseError(400, "timeout must be in milliseconds.")
 
-        as_client_event = b"raw" not in request.args
+        as_client_event = b"raw" not in args
 
         chunk = await self.event_stream_handler.get_stream(
             requester.user.to_string(),
@@ -70,25 +76,27 @@ class EventStreamRestServlet(RestServlet):
 class EventRestServlet(RestServlet):
     PATTERNS = client_patterns("/events/(?P<event_id>[^/]*)$", v1=True)
 
-    def __init__(self, hs):
+    def __init__(self, hs: "HomeServer"):
         super().__init__()
         self.clock = hs.get_clock()
         self.event_handler = hs.get_event_handler()
         self.auth = hs.get_auth()
         self._event_serializer = hs.get_event_client_serializer()
 
-    async def on_GET(self, request, event_id):
+    async def on_GET(
+        self, request: SynapseRequest, event_id: str
+    ) -> Tuple[int, Union[str, JsonDict]]:
         requester = await self.auth.get_user_by_req(request)
         event = await self.event_handler.get_event(requester.user, None, event_id)
 
         time_now = self.clock.time_msec()
         if event:
-            event = await self._event_serializer.serialize_event(event, time_now)
-            return 200, event
+            result = await self._event_serializer.serialize_event(event, time_now)
+            return 200, result
         else:
             return 404, "Event not found."
 
 
-def register_servlets(hs, http_server):
+def register_servlets(hs: "HomeServer", http_server: HttpServer) -> None:
     EventStreamRestServlet(hs).register(http_server)
     EventRestServlet(hs).register(http_server)
diff --git a/synapse/rest/client/filter.py b/synapse/rest/client/filter.py
index 411667a9c8..6ed60c7418 100644
--- a/synapse/rest/client/filter.py
+++ b/synapse/rest/client/filter.py
@@ -13,26 +13,34 @@
 # limitations under the License.
 
 import logging
+from typing import TYPE_CHECKING, Tuple
 
 from synapse.api.errors import AuthError, NotFoundError, StoreError, SynapseError
+from synapse.http.server import HttpServer
 from synapse.http.servlet import RestServlet, parse_json_object_from_request
-from synapse.types import UserID
+from synapse.http.site import SynapseRequest
+from synapse.types import JsonDict, UserID
 
 from ._base import client_patterns, set_timeline_upper_limit
 
+if TYPE_CHECKING:
+    from synapse.server import HomeServer
+
 logger = logging.getLogger(__name__)
 
 
 class GetFilterRestServlet(RestServlet):
     PATTERNS = client_patterns("/user/(?P<user_id>[^/]*)/filter/(?P<filter_id>[^/]*)")
 
-    def __init__(self, hs):
+    def __init__(self, hs: "HomeServer"):
         super().__init__()
         self.hs = hs
         self.auth = hs.get_auth()
         self.filtering = hs.get_filtering()
 
-    async def on_GET(self, request, user_id, filter_id):
+    async def on_GET(
+        self, request: SynapseRequest, user_id: str, filter_id: str
+    ) -> Tuple[int, JsonDict]:
         target_user = UserID.from_string(user_id)
         requester = await self.auth.get_user_by_req(request)
 
@@ -43,13 +51,13 @@ class GetFilterRestServlet(RestServlet):
             raise AuthError(403, "Can only get filters for local users")
 
         try:
-            filter_id = int(filter_id)
+            filter_id_int = int(filter_id)
         except Exception:
             raise SynapseError(400, "Invalid filter_id")
 
         try:
             filter_collection = await self.filtering.get_user_filter(
-                user_localpart=target_user.localpart, filter_id=filter_id
+                user_localpart=target_user.localpart, filter_id=filter_id_int
             )
         except StoreError as e:
             if e.code != 404:
@@ -62,13 +70,15 @@ class GetFilterRestServlet(RestServlet):
 class CreateFilterRestServlet(RestServlet):
     PATTERNS = client_patterns("/user/(?P<user_id>[^/]*)/filter")
 
-    def __init__(self, hs):
+    def __init__(self, hs: "HomeServer"):
         super().__init__()
         self.hs = hs
         self.auth = hs.get_auth()
         self.filtering = hs.get_filtering()
 
-    async def on_POST(self, request, user_id):
+    async def on_POST(
+        self, request: SynapseRequest, user_id: str
+    ) -> Tuple[int, JsonDict]:
 
         target_user = UserID.from_string(user_id)
         requester = await self.auth.get_user_by_req(request)
@@ -89,6 +99,6 @@ class CreateFilterRestServlet(RestServlet):
         return 200, {"filter_id": str(filter_id)}
 
 
-def register_servlets(hs, http_server):
+def register_servlets(hs: "HomeServer", http_server: HttpServer) -> None:
     GetFilterRestServlet(hs).register(http_server)
     CreateFilterRestServlet(hs).register(http_server)
diff --git a/synapse/rest/client/groups.py b/synapse/rest/client/groups.py
index 6285680c00..c3667ff8aa 100644
--- a/synapse/rest/client/groups.py
+++ b/synapse/rest/client/groups.py
@@ -26,6 +26,7 @@ from synapse.api.constants import (
 )
 from synapse.api.errors import Codes, SynapseError
 from synapse.handlers.groups_local import GroupsLocalHandler
+from synapse.http.server import HttpServer
 from synapse.http.servlet import (
     RestServlet,
     assert_params_in_dict,
@@ -930,7 +931,7 @@ class GroupsForUserServlet(RestServlet):
         return 200, result
 
 
-def register_servlets(hs: "HomeServer", http_server):
+def register_servlets(hs: "HomeServer", http_server: HttpServer) -> None:
     GroupServlet(hs).register(http_server)
     GroupSummaryServlet(hs).register(http_server)
     GroupInvitedUsersServlet(hs).register(http_server)
diff --git a/synapse/rest/client/initial_sync.py b/synapse/rest/client/initial_sync.py
index 12ba0e91db..49b1037b28 100644
--- a/synapse/rest/client/initial_sync.py
+++ b/synapse/rest/client/initial_sync.py
@@ -12,25 +12,33 @@
 # See the License for the specific language governing permissions and
 # limitations under the License.
 
+from typing import TYPE_CHECKING, Dict, List, Tuple
 
+from synapse.http.server import HttpServer
 from synapse.http.servlet import RestServlet, parse_boolean
+from synapse.http.site import SynapseRequest
 from synapse.rest.client._base import client_patterns
 from synapse.streams.config import PaginationConfig
+from synapse.types import JsonDict
+
+if TYPE_CHECKING:
+    from synapse.server import HomeServer
 
 
 # TODO: Needs unit testing
 class InitialSyncRestServlet(RestServlet):
     PATTERNS = client_patterns("/initialSync$", v1=True)
 
-    def __init__(self, hs):
+    def __init__(self, hs: "HomeServer"):
         super().__init__()
         self.initial_sync_handler = hs.get_initial_sync_handler()
         self.auth = hs.get_auth()
         self.store = hs.get_datastore()
 
-    async def on_GET(self, request):
+    async def on_GET(self, request: SynapseRequest) -> Tuple[int, JsonDict]:
         requester = await self.auth.get_user_by_req(request)
-        as_client_event = b"raw" not in request.args
+        args: Dict[bytes, List[bytes]] = request.args  # type: ignore
+        as_client_event = b"raw" not in args
         pagination_config = await PaginationConfig.from_request(self.store, request)
         include_archived = parse_boolean(request, "archived", default=False)
         content = await self.initial_sync_handler.snapshot_all_rooms(
@@ -43,5 +51,5 @@ class InitialSyncRestServlet(RestServlet):
         return 200, content
 
 
-def register_servlets(hs, http_server):
+def register_servlets(hs: "HomeServer", http_server: HttpServer) -> None:
     InitialSyncRestServlet(hs).register(http_server)
diff --git a/synapse/rest/client/keys.py b/synapse/rest/client/keys.py
index d0d9d30d40..7281b2ee29 100644
--- a/synapse/rest/client/keys.py
+++ b/synapse/rest/client/keys.py
@@ -15,19 +15,25 @@
 # limitations under the License.
 
 import logging
+from typing import TYPE_CHECKING, Any, Optional, Tuple
 
-from synapse.api.errors import SynapseError
+from synapse.api.errors import InvalidAPICallError, SynapseError
+from synapse.http.server import HttpServer
 from synapse.http.servlet import (
     RestServlet,
     parse_integer,
     parse_json_object_from_request,
     parse_string,
 )
+from synapse.http.site import SynapseRequest
 from synapse.logging.opentracing import log_kv, set_tag, trace
-from synapse.types import StreamToken
+from synapse.types import JsonDict, StreamToken
 
 from ._base import client_patterns, interactive_auth_handler
 
+if TYPE_CHECKING:
+    from synapse.server import HomeServer
+
 logger = logging.getLogger(__name__)
 
 
@@ -59,18 +65,16 @@ class KeyUploadServlet(RestServlet):
 
     PATTERNS = client_patterns("/keys/upload(/(?P<device_id>[^/]+))?$")
 
-    def __init__(self, hs):
-        """
-        Args:
-            hs (synapse.server.HomeServer): server
-        """
+    def __init__(self, hs: "HomeServer"):
         super().__init__()
         self.auth = hs.get_auth()
         self.e2e_keys_handler = hs.get_e2e_keys_handler()
         self.device_handler = hs.get_device_handler()
 
     @trace(opname="upload_keys")
-    async def on_POST(self, request, device_id):
+    async def on_POST(
+        self, request: SynapseRequest, device_id: Optional[str]
+    ) -> Tuple[int, JsonDict]:
         requester = await self.auth.get_user_by_req(request, allow_guest=True)
         user_id = requester.user.to_string()
         body = parse_json_object_from_request(request)
@@ -148,21 +152,30 @@ class KeyQueryServlet(RestServlet):
 
     PATTERNS = client_patterns("/keys/query$")
 
-    def __init__(self, hs):
-        """
-        Args:
-            hs (synapse.server.HomeServer):
-        """
+    def __init__(self, hs: "HomeServer"):
         super().__init__()
         self.auth = hs.get_auth()
         self.e2e_keys_handler = hs.get_e2e_keys_handler()
 
-    async def on_POST(self, request):
+    async def on_POST(self, request: SynapseRequest) -> Tuple[int, JsonDict]:
         requester = await self.auth.get_user_by_req(request, allow_guest=True)
         user_id = requester.user.to_string()
         device_id = requester.device_id
         timeout = parse_integer(request, "timeout", 10 * 1000)
         body = parse_json_object_from_request(request)
+
+        device_keys = body.get("device_keys")
+        if not isinstance(device_keys, dict):
+            raise InvalidAPICallError("'device_keys' must be a JSON object")
+
+        def is_list_of_strings(values: Any) -> bool:
+            return isinstance(values, list) and all(isinstance(v, str) for v in values)
+
+        if any(not is_list_of_strings(keys) for keys in device_keys.values()):
+            raise InvalidAPICallError(
+                "'device_keys' values must be a list of strings",
+            )
+
         result = await self.e2e_keys_handler.query_devices(
             body, timeout, user_id, device_id
         )
@@ -181,17 +194,13 @@ class KeyChangesServlet(RestServlet):
 
     PATTERNS = client_patterns("/keys/changes$")
 
-    def __init__(self, hs):
-        """
-        Args:
-            hs (synapse.server.HomeServer):
-        """
+    def __init__(self, hs: "HomeServer"):
         super().__init__()
         self.auth = hs.get_auth()
         self.device_handler = hs.get_device_handler()
         self.store = hs.get_datastore()
 
-    async def on_GET(self, request):
+    async def on_GET(self, request: SynapseRequest) -> Tuple[int, JsonDict]:
         requester = await self.auth.get_user_by_req(request, allow_guest=True)
 
         from_token_string = parse_string(request, "from", required=True)
@@ -231,12 +240,12 @@ class OneTimeKeyServlet(RestServlet):
 
     PATTERNS = client_patterns("/keys/claim$")
 
-    def __init__(self, hs):
+    def __init__(self, hs: "HomeServer"):
         super().__init__()
         self.auth = hs.get_auth()
         self.e2e_keys_handler = hs.get_e2e_keys_handler()
 
-    async def on_POST(self, request):
+    async def on_POST(self, request: SynapseRequest) -> Tuple[int, JsonDict]:
         await self.auth.get_user_by_req(request, allow_guest=True)
         timeout = parse_integer(request, "timeout", 10 * 1000)
         body = parse_json_object_from_request(request)
@@ -255,11 +264,7 @@ class SigningKeyUploadServlet(RestServlet):
 
     PATTERNS = client_patterns("/keys/device_signing/upload$", releases=())
 
-    def __init__(self, hs):
-        """
-        Args:
-            hs (synapse.server.HomeServer): server
-        """
+    def __init__(self, hs: "HomeServer"):
         super().__init__()
         self.hs = hs
         self.auth = hs.get_auth()
@@ -267,7 +272,7 @@ class SigningKeyUploadServlet(RestServlet):
         self.auth_handler = hs.get_auth_handler()
 
     @interactive_auth_handler
-    async def on_POST(self, request):
+    async def on_POST(self, request: SynapseRequest) -> Tuple[int, JsonDict]:
         requester = await self.auth.get_user_by_req(request)
         user_id = requester.user.to_string()
         body = parse_json_object_from_request(request)
@@ -315,16 +320,12 @@ class SignaturesUploadServlet(RestServlet):
 
     PATTERNS = client_patterns("/keys/signatures/upload$")
 
-    def __init__(self, hs):
-        """
-        Args:
-            hs (synapse.server.HomeServer): server
-        """
+    def __init__(self, hs: "HomeServer"):
         super().__init__()
         self.auth = hs.get_auth()
         self.e2e_keys_handler = hs.get_e2e_keys_handler()
 
-    async def on_POST(self, request):
+    async def on_POST(self, request: SynapseRequest) -> Tuple[int, JsonDict]:
         requester = await self.auth.get_user_by_req(request, allow_guest=True)
         user_id = requester.user.to_string()
         body = parse_json_object_from_request(request)
@@ -335,7 +336,7 @@ class SignaturesUploadServlet(RestServlet):
         return 200, result
 
 
-def register_servlets(hs, http_server):
+def register_servlets(hs: "HomeServer", http_server: HttpServer) -> None:
     KeyUploadServlet(hs).register(http_server)
     KeyQueryServlet(hs).register(http_server)
     KeyChangesServlet(hs).register(http_server)
diff --git a/synapse/rest/client/knock.py b/synapse/rest/client/knock.py
index 7d1bc40658..68fb08d0ba 100644
--- a/synapse/rest/client/knock.py
+++ b/synapse/rest/client/knock.py
@@ -19,6 +19,7 @@ from twisted.web.server import Request
 
 from synapse.api.constants import Membership
 from synapse.api.errors import SynapseError
+from synapse.http.server import HttpServer
 from synapse.http.servlet import (
     RestServlet,
     parse_json_object_from_request,
@@ -103,5 +104,5 @@ class KnockRoomAliasServlet(RestServlet):
         )
 
 
-def register_servlets(hs, http_server):
+def register_servlets(hs: "HomeServer", http_server: HttpServer) -> None:
     KnockRoomAliasServlet(hs).register(http_server)
diff --git a/synapse/rest/client/login.py b/synapse/rest/client/login.py
index 0c8d8967b7..4be502a77b 100644
--- a/synapse/rest/client/login.py
+++ b/synapse/rest/client/login.py
@@ -1,4 +1,4 @@
-# Copyright 2014-2016 OpenMarket Ltd
+# Copyright 2014-2021 The Matrix.org Foundation C.I.C.
 #
 # Licensed under the Apache License, Version 2.0 (the "License");
 # you may not use this file except in compliance with the License.
@@ -14,7 +14,7 @@
 
 import logging
 import re
-from typing import TYPE_CHECKING, Any, Awaitable, Callable, Dict, List, Optional
+from typing import TYPE_CHECKING, Any, Awaitable, Callable, Dict, List, Optional, Tuple
 
 from typing_extensions import TypedDict
 
@@ -104,7 +104,13 @@ class LoginRestServlet(RestServlet):
             burst_count=self.hs.config.rc_login_account.burst_count,
         )
 
-    def on_GET(self, request: SynapseRequest):
+        # ensure the CAS/SAML/OIDC handlers are loaded on this worker instance.
+        # The reason for this is to ensure that the auth_provider_ids are registered
+        # with SsoHandler, which in turn ensures that the login/registration prometheus
+        # counters are initialised for the auth_provider_ids.
+        _load_sso_handlers(hs)
+
+    def on_GET(self, request: SynapseRequest) -> Tuple[int, JsonDict]:
         flows = []
         if self.jwt_enabled:
             flows.append({"type": LoginRestServlet.JWT_TYPE})
@@ -151,7 +157,7 @@ class LoginRestServlet(RestServlet):
 
         return 200, {"flows": flows}
 
-    async def on_POST(self, request: SynapseRequest):
+    async def on_POST(self, request: SynapseRequest) -> Tuple[int, LoginResponse]:
         login_submission = parse_json_object_from_request(request)
 
         if self._msc2918_enabled:
@@ -211,7 +217,7 @@ class LoginRestServlet(RestServlet):
         login_submission: JsonDict,
         appservice: ApplicationService,
         should_issue_refresh_token: bool = False,
-    ):
+    ) -> LoginResponse:
         identifier = login_submission.get("identifier")
         logger.info("Got appservice login request with identifier: %r", identifier)
 
@@ -461,10 +467,7 @@ class RefreshTokenServlet(RestServlet):
         self._clock = hs.get_clock()
         self.access_token_lifetime = hs.config.access_token_lifetime
 
-    async def on_POST(
-        self,
-        request: SynapseRequest,
-    ):
+    async def on_POST(self, request: SynapseRequest) -> Tuple[int, JsonDict]:
         refresh_submission = parse_json_object_from_request(request)
 
         assert_params_in_dict(refresh_submission, ["refresh_token"])
@@ -499,12 +502,7 @@ class SsoRedirectServlet(RestServlet):
     def __init__(self, hs: "HomeServer"):
         # make sure that the relevant handlers are instantiated, so that they
         # register themselves with the main SSOHandler.
-        if hs.config.cas_enabled:
-            hs.get_cas_handler()
-        if hs.config.saml2_enabled:
-            hs.get_saml_handler()
-        if hs.config.oidc_enabled:
-            hs.get_oidc_handler()
+        _load_sso_handlers(hs)
         self._sso_handler = hs.get_sso_handler()
         self._msc2858_enabled = hs.config.experimental.msc2858_enabled
         self._public_baseurl = hs.config.public_baseurl
@@ -569,7 +567,7 @@ class SsoRedirectServlet(RestServlet):
 class CasTicketServlet(RestServlet):
     PATTERNS = client_patterns("/login/cas/ticket", v1=True)
 
-    def __init__(self, hs):
+    def __init__(self, hs: "HomeServer"):
         super().__init__()
         self._cas_handler = hs.get_cas_handler()
 
@@ -591,10 +589,26 @@ class CasTicketServlet(RestServlet):
         )
 
 
-def register_servlets(hs, http_server):
+def register_servlets(hs: "HomeServer", http_server: HttpServer) -> None:
     LoginRestServlet(hs).register(http_server)
     if hs.config.access_token_lifetime is not None:
         RefreshTokenServlet(hs).register(http_server)
     SsoRedirectServlet(hs).register(http_server)
     if hs.config.cas_enabled:
         CasTicketServlet(hs).register(http_server)
+
+
+def _load_sso_handlers(hs: "HomeServer") -> None:
+    """Ensure that the SSO handlers are loaded, if they are enabled by configuration.
+
+    This is mostly useful to ensure that the CAS/SAML/OIDC handlers register themselves
+    with the main SsoHandler.
+
+    It's safe to call this multiple times.
+    """
+    if hs.config.cas.cas_enabled:
+        hs.get_cas_handler()
+    if hs.config.saml2.saml2_enabled:
+        hs.get_saml_handler()
+    if hs.config.oidc.oidc_enabled:
+        hs.get_oidc_handler()
diff --git a/synapse/rest/client/logout.py b/synapse/rest/client/logout.py
index 6055cac2bd..193a6951b9 100644
--- a/synapse/rest/client/logout.py
+++ b/synapse/rest/client/logout.py
@@ -13,9 +13,16 @@
 # limitations under the License.
 
 import logging
+from typing import TYPE_CHECKING, Tuple
 
+from synapse.http.server import HttpServer
 from synapse.http.servlet import RestServlet
+from synapse.http.site import SynapseRequest
 from synapse.rest.client._base import client_patterns
+from synapse.types import JsonDict
+
+if TYPE_CHECKING:
+    from synapse.server import HomeServer
 
 logger = logging.getLogger(__name__)
 
@@ -23,13 +30,13 @@ logger = logging.getLogger(__name__)
 class LogoutRestServlet(RestServlet):
     PATTERNS = client_patterns("/logout$", v1=True)
 
-    def __init__(self, hs):
+    def __init__(self, hs: "HomeServer"):
         super().__init__()
         self.auth = hs.get_auth()
         self._auth_handler = hs.get_auth_handler()
         self._device_handler = hs.get_device_handler()
 
-    async def on_POST(self, request):
+    async def on_POST(self, request: SynapseRequest) -> Tuple[int, JsonDict]:
         requester = await self.auth.get_user_by_req(request, allow_expired=True)
 
         if requester.device_id is None:
@@ -48,13 +55,13 @@ class LogoutRestServlet(RestServlet):
 class LogoutAllRestServlet(RestServlet):
     PATTERNS = client_patterns("/logout/all$", v1=True)
 
-    def __init__(self, hs):
+    def __init__(self, hs: "HomeServer"):
         super().__init__()
         self.auth = hs.get_auth()
         self._auth_handler = hs.get_auth_handler()
         self._device_handler = hs.get_device_handler()
 
-    async def on_POST(self, request):
+    async def on_POST(self, request: SynapseRequest) -> Tuple[int, JsonDict]:
         requester = await self.auth.get_user_by_req(request, allow_expired=True)
         user_id = requester.user.to_string()
 
@@ -67,6 +74,6 @@ class LogoutAllRestServlet(RestServlet):
         return 200, {}
 
 
-def register_servlets(hs, http_server):
+def register_servlets(hs: "HomeServer", http_server: HttpServer) -> None:
     LogoutRestServlet(hs).register(http_server)
     LogoutAllRestServlet(hs).register(http_server)
diff --git a/synapse/rest/client/notifications.py b/synapse/rest/client/notifications.py
index 0ede643c2d..d1d8a984c6 100644
--- a/synapse/rest/client/notifications.py
+++ b/synapse/rest/client/notifications.py
@@ -13,26 +13,33 @@
 # limitations under the License.
 
 import logging
+from typing import TYPE_CHECKING, Tuple
 
 from synapse.events.utils import format_event_for_client_v2_without_room_id
+from synapse.http.server import HttpServer
 from synapse.http.servlet import RestServlet, parse_integer, parse_string
+from synapse.http.site import SynapseRequest
+from synapse.types import JsonDict
 
 from ._base import client_patterns
 
+if TYPE_CHECKING:
+    from synapse.server import HomeServer
+
 logger = logging.getLogger(__name__)
 
 
 class NotificationsServlet(RestServlet):
     PATTERNS = client_patterns("/notifications$")
 
-    def __init__(self, hs):
+    def __init__(self, hs: "HomeServer"):
         super().__init__()
         self.store = hs.get_datastore()
         self.auth = hs.get_auth()
         self.clock = hs.get_clock()
         self._event_serializer = hs.get_event_client_serializer()
 
-    async def on_GET(self, request):
+    async def on_GET(self, request: SynapseRequest) -> Tuple[int, JsonDict]:
         requester = await self.auth.get_user_by_req(request)
         user_id = requester.user.to_string()
 
@@ -87,5 +94,5 @@ class NotificationsServlet(RestServlet):
         return 200, {"notifications": returned_push_actions, "next_token": next_token}
 
 
-def register_servlets(hs, http_server):
+def register_servlets(hs: "HomeServer", http_server: HttpServer) -> None:
     NotificationsServlet(hs).register(http_server)
diff --git a/synapse/rest/client/openid.py b/synapse/rest/client/openid.py
index e8d2673819..4dda6dce4b 100644
--- a/synapse/rest/client/openid.py
+++ b/synapse/rest/client/openid.py
@@ -12,15 +12,21 @@
 # See the License for the specific language governing permissions and
 # limitations under the License.
 
-
 import logging
+from typing import TYPE_CHECKING, Tuple
 
 from synapse.api.errors import AuthError
+from synapse.http.server import HttpServer
 from synapse.http.servlet import RestServlet, parse_json_object_from_request
+from synapse.http.site import SynapseRequest
+from synapse.types import JsonDict
 from synapse.util.stringutils import random_string
 
 from ._base import client_patterns
 
+if TYPE_CHECKING:
+    from synapse.server import HomeServer
+
 logger = logging.getLogger(__name__)
 
 
@@ -58,14 +64,16 @@ class IdTokenServlet(RestServlet):
 
     EXPIRES_MS = 3600 * 1000
 
-    def __init__(self, hs):
+    def __init__(self, hs: "HomeServer"):
         super().__init__()
         self.auth = hs.get_auth()
         self.store = hs.get_datastore()
         self.clock = hs.get_clock()
         self.server_name = hs.config.server_name
 
-    async def on_POST(self, request, user_id):
+    async def on_POST(
+        self, request: SynapseRequest, user_id: str
+    ) -> Tuple[int, JsonDict]:
         requester = await self.auth.get_user_by_req(request)
         if user_id != requester.user.to_string():
             raise AuthError(403, "Cannot request tokens for other users.")
@@ -90,5 +98,5 @@ class IdTokenServlet(RestServlet):
         )
 
 
-def register_servlets(hs, http_server):
+def register_servlets(hs: "HomeServer", http_server: HttpServer) -> None:
     IdTokenServlet(hs).register(http_server)
diff --git a/synapse/rest/client/password_policy.py b/synapse/rest/client/password_policy.py
index a83927aee6..6d64efb165 100644
--- a/synapse/rest/client/password_policy.py
+++ b/synapse/rest/client/password_policy.py
@@ -13,28 +13,32 @@
 # limitations under the License.
 
 import logging
+from typing import TYPE_CHECKING, Tuple
 
+from twisted.web.server import Request
+
+from synapse.http.server import HttpServer
 from synapse.http.servlet import RestServlet
+from synapse.types import JsonDict
 
 from ._base import client_patterns
 
+if TYPE_CHECKING:
+    from synapse.server import HomeServer
+
 logger = logging.getLogger(__name__)
 
 
 class PasswordPolicyServlet(RestServlet):
     PATTERNS = client_patterns("/password_policy$")
 
-    def __init__(self, hs):
-        """
-        Args:
-            hs (synapse.server.HomeServer): server
-        """
+    def __init__(self, hs: "HomeServer"):
         super().__init__()
 
         self.policy = hs.config.password_policy
         self.enabled = hs.config.password_policy_enabled
 
-    def on_GET(self, request):
+    def on_GET(self, request: Request) -> Tuple[int, JsonDict]:
         if not self.enabled or not self.policy:
             return (200, {})
 
@@ -53,5 +57,5 @@ class PasswordPolicyServlet(RestServlet):
         return (200, policy)
 
 
-def register_servlets(hs, http_server):
+def register_servlets(hs: "HomeServer", http_server: HttpServer) -> None:
     PasswordPolicyServlet(hs).register(http_server)
diff --git a/synapse/rest/client/presence.py b/synapse/rest/client/presence.py
index 6c27e5faf9..94dd4fe2f4 100644
--- a/synapse/rest/client/presence.py
+++ b/synapse/rest/client/presence.py
@@ -15,12 +15,18 @@
 """ This module contains REST servlets to do with presence: /presence/<paths>
 """
 import logging
+from typing import TYPE_CHECKING, Tuple
 
 from synapse.api.errors import AuthError, SynapseError
 from synapse.handlers.presence import format_user_presence_state
+from synapse.http.server import HttpServer
 from synapse.http.servlet import RestServlet, parse_json_object_from_request
+from synapse.http.site import SynapseRequest
 from synapse.rest.client._base import client_patterns
-from synapse.types import UserID
+from synapse.types import JsonDict, UserID
+
+if TYPE_CHECKING:
+    from synapse.server import HomeServer
 
 logger = logging.getLogger(__name__)
 
@@ -28,7 +34,7 @@ logger = logging.getLogger(__name__)
 class PresenceStatusRestServlet(RestServlet):
     PATTERNS = client_patterns("/presence/(?P<user_id>[^/]*)/status", v1=True)
 
-    def __init__(self, hs):
+    def __init__(self, hs: "HomeServer"):
         super().__init__()
         self.hs = hs
         self.presence_handler = hs.get_presence_handler()
@@ -37,7 +43,9 @@ class PresenceStatusRestServlet(RestServlet):
 
         self._use_presence = hs.config.server.use_presence
 
-    async def on_GET(self, request, user_id):
+    async def on_GET(
+        self, request: SynapseRequest, user_id: str
+    ) -> Tuple[int, JsonDict]:
         requester = await self.auth.get_user_by_req(request)
         user = UserID.from_string(user_id)
 
@@ -53,13 +61,15 @@ class PresenceStatusRestServlet(RestServlet):
                 raise AuthError(403, "You are not allowed to see their presence.")
 
         state = await self.presence_handler.get_state(target_user=user)
-        state = format_user_presence_state(
+        result = format_user_presence_state(
             state, self.clock.time_msec(), include_user_id=False
         )
 
-        return 200, state
+        return 200, result
 
-    async def on_PUT(self, request, user_id):
+    async def on_PUT(
+        self, request: SynapseRequest, user_id: str
+    ) -> Tuple[int, JsonDict]:
         requester = await self.auth.get_user_by_req(request)
         user = UserID.from_string(user_id)
 
@@ -91,5 +101,5 @@ class PresenceStatusRestServlet(RestServlet):
         return 200, {}
 
 
-def register_servlets(hs, http_server):
+def register_servlets(hs: "HomeServer", http_server: HttpServer) -> None:
     PresenceStatusRestServlet(hs).register(http_server)
diff --git a/synapse/rest/client/profile.py b/synapse/rest/client/profile.py
index 5463ed2c4f..d0f20de569 100644
--- a/synapse/rest/client/profile.py
+++ b/synapse/rest/client/profile.py
@@ -14,22 +14,31 @@
 
 """ This module contains REST servlets to do with profile: /profile/<paths> """
 
+from typing import TYPE_CHECKING, Tuple
+
 from synapse.api.errors import Codes, SynapseError
+from synapse.http.server import HttpServer
 from synapse.http.servlet import RestServlet, parse_json_object_from_request
+from synapse.http.site import SynapseRequest
 from synapse.rest.client._base import client_patterns
-from synapse.types import UserID
+from synapse.types import JsonDict, UserID
+
+if TYPE_CHECKING:
+    from synapse.server import HomeServer
 
 
 class ProfileDisplaynameRestServlet(RestServlet):
     PATTERNS = client_patterns("/profile/(?P<user_id>[^/]*)/displayname", v1=True)
 
-    def __init__(self, hs):
+    def __init__(self, hs: "HomeServer"):
         super().__init__()
         self.hs = hs
         self.profile_handler = hs.get_profile_handler()
         self.auth = hs.get_auth()
 
-    async def on_GET(self, request, user_id):
+    async def on_GET(
+        self, request: SynapseRequest, user_id: str
+    ) -> Tuple[int, JsonDict]:
         requester_user = None
 
         if self.hs.config.require_auth_for_profile_requests:
@@ -48,7 +57,9 @@ class ProfileDisplaynameRestServlet(RestServlet):
 
         return 200, ret
 
-    async def on_PUT(self, request, user_id):
+    async def on_PUT(
+        self, request: SynapseRequest, user_id: str
+    ) -> Tuple[int, JsonDict]:
         requester = await self.auth.get_user_by_req(request, allow_guest=True)
         user = UserID.from_string(user_id)
         is_admin = await self.auth.is_server_admin(requester.user)
@@ -72,13 +83,15 @@ class ProfileDisplaynameRestServlet(RestServlet):
 class ProfileAvatarURLRestServlet(RestServlet):
     PATTERNS = client_patterns("/profile/(?P<user_id>[^/]*)/avatar_url", v1=True)
 
-    def __init__(self, hs):
+    def __init__(self, hs: "HomeServer"):
         super().__init__()
         self.hs = hs
         self.profile_handler = hs.get_profile_handler()
         self.auth = hs.get_auth()
 
-    async def on_GET(self, request, user_id):
+    async def on_GET(
+        self, request: SynapseRequest, user_id: str
+    ) -> Tuple[int, JsonDict]:
         requester_user = None
 
         if self.hs.config.require_auth_for_profile_requests:
@@ -97,7 +110,9 @@ class ProfileAvatarURLRestServlet(RestServlet):
 
         return 200, ret
 
-    async def on_PUT(self, request, user_id):
+    async def on_PUT(
+        self, request: SynapseRequest, user_id: str
+    ) -> Tuple[int, JsonDict]:
         requester = await self.auth.get_user_by_req(request)
         user = UserID.from_string(user_id)
         is_admin = await self.auth.is_server_admin(requester.user)
@@ -120,13 +135,15 @@ class ProfileAvatarURLRestServlet(RestServlet):
 class ProfileRestServlet(RestServlet):
     PATTERNS = client_patterns("/profile/(?P<user_id>[^/]*)", v1=True)
 
-    def __init__(self, hs):
+    def __init__(self, hs: "HomeServer"):
         super().__init__()
         self.hs = hs
         self.profile_handler = hs.get_profile_handler()
         self.auth = hs.get_auth()
 
-    async def on_GET(self, request, user_id):
+    async def on_GET(
+        self, request: SynapseRequest, user_id: str
+    ) -> Tuple[int, JsonDict]:
         requester_user = None
 
         if self.hs.config.require_auth_for_profile_requests:
@@ -149,7 +166,7 @@ class ProfileRestServlet(RestServlet):
         return 200, ret
 
 
-def register_servlets(hs, http_server):
+def register_servlets(hs: "HomeServer", http_server: HttpServer) -> None:
     ProfileDisplaynameRestServlet(hs).register(http_server)
     ProfileAvatarURLRestServlet(hs).register(http_server)
     ProfileRestServlet(hs).register(http_server)
diff --git a/synapse/rest/client/pusher.py b/synapse/rest/client/pusher.py
index 84619c5e41..98604a9388 100644
--- a/synapse/rest/client/pusher.py
+++ b/synapse/rest/client/pusher.py
@@ -13,17 +13,23 @@
 # limitations under the License.
 
 import logging
+from typing import TYPE_CHECKING, Tuple
 
 from synapse.api.errors import Codes, StoreError, SynapseError
-from synapse.http.server import respond_with_html_bytes
+from synapse.http.server import HttpServer, respond_with_html_bytes
 from synapse.http.servlet import (
     RestServlet,
     assert_params_in_dict,
     parse_json_object_from_request,
     parse_string,
 )
+from synapse.http.site import SynapseRequest
 from synapse.push import PusherConfigException
 from synapse.rest.client._base import client_patterns
+from synapse.types import JsonDict
+
+if TYPE_CHECKING:
+    from synapse.server import HomeServer
 
 logger = logging.getLogger(__name__)
 
@@ -31,12 +37,12 @@ logger = logging.getLogger(__name__)
 class PushersRestServlet(RestServlet):
     PATTERNS = client_patterns("/pushers$", v1=True)
 
-    def __init__(self, hs):
+    def __init__(self, hs: "HomeServer"):
         super().__init__()
         self.hs = hs
         self.auth = hs.get_auth()
 
-    async def on_GET(self, request):
+    async def on_GET(self, request: SynapseRequest) -> Tuple[int, JsonDict]:
         requester = await self.auth.get_user_by_req(request)
         user = requester.user
 
@@ -50,14 +56,14 @@ class PushersRestServlet(RestServlet):
 class PushersSetRestServlet(RestServlet):
     PATTERNS = client_patterns("/pushers/set$", v1=True)
 
-    def __init__(self, hs):
+    def __init__(self, hs: "HomeServer"):
         super().__init__()
         self.hs = hs
         self.auth = hs.get_auth()
         self.notifier = hs.get_notifier()
         self.pusher_pool = self.hs.get_pusherpool()
 
-    async def on_POST(self, request):
+    async def on_POST(self, request: SynapseRequest) -> Tuple[int, JsonDict]:
         requester = await self.auth.get_user_by_req(request)
         user = requester.user
 
@@ -132,14 +138,14 @@ class PushersRemoveRestServlet(RestServlet):
     PATTERNS = client_patterns("/pushers/remove$", v1=True)
     SUCCESS_HTML = b"<html><body>You have been unsubscribed</body><html>"
 
-    def __init__(self, hs):
+    def __init__(self, hs: "HomeServer"):
         super().__init__()
         self.hs = hs
         self.notifier = hs.get_notifier()
         self.auth = hs.get_auth()
         self.pusher_pool = self.hs.get_pusherpool()
 
-    async def on_GET(self, request):
+    async def on_GET(self, request: SynapseRequest) -> None:
         requester = await self.auth.get_user_by_req(request, rights="delete_pusher")
         user = requester.user
 
@@ -165,7 +171,7 @@ class PushersRemoveRestServlet(RestServlet):
         return None
 
 
-def register_servlets(hs, http_server):
+def register_servlets(hs: "HomeServer", http_server: HttpServer) -> None:
     PushersRestServlet(hs).register(http_server)
     PushersSetRestServlet(hs).register(http_server)
     PushersRemoveRestServlet(hs).register(http_server)
diff --git a/synapse/rest/client/read_marker.py b/synapse/rest/client/read_marker.py
index 027f8b81fa..43c04fac6f 100644
--- a/synapse/rest/client/read_marker.py
+++ b/synapse/rest/client/read_marker.py
@@ -13,27 +13,36 @@
 # limitations under the License.
 
 import logging
+from typing import TYPE_CHECKING, Tuple
 
 from synapse.api.constants import ReadReceiptEventFields
 from synapse.api.errors import Codes, SynapseError
+from synapse.http.server import HttpServer
 from synapse.http.servlet import RestServlet, parse_json_object_from_request
+from synapse.http.site import SynapseRequest
+from synapse.types import JsonDict
 
 from ._base import client_patterns
 
+if TYPE_CHECKING:
+    from synapse.server import HomeServer
+
 logger = logging.getLogger(__name__)
 
 
 class ReadMarkerRestServlet(RestServlet):
     PATTERNS = client_patterns("/rooms/(?P<room_id>[^/]*)/read_markers$")
 
-    def __init__(self, hs):
+    def __init__(self, hs: "HomeServer"):
         super().__init__()
         self.auth = hs.get_auth()
         self.receipts_handler = hs.get_receipts_handler()
         self.read_marker_handler = hs.get_read_marker_handler()
         self.presence_handler = hs.get_presence_handler()
 
-    async def on_POST(self, request, room_id):
+    async def on_POST(
+        self, request: SynapseRequest, room_id: str
+    ) -> Tuple[int, JsonDict]:
         requester = await self.auth.get_user_by_req(request)
 
         await self.presence_handler.bump_presence_active_time(requester.user)
@@ -70,5 +79,5 @@ class ReadMarkerRestServlet(RestServlet):
         return 200, {}
 
 
-def register_servlets(hs, http_server):
+def register_servlets(hs: "HomeServer", http_server: HttpServer) -> None:
     ReadMarkerRestServlet(hs).register(http_server)
diff --git a/synapse/rest/client/register.py b/synapse/rest/client/register.py
index 58b8e8f261..7b5f49d635 100644
--- a/synapse/rest/client/register.py
+++ b/synapse/rest/client/register.py
@@ -12,7 +12,6 @@
 # WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
 # See the License for the specific language governing permissions and
 # limitations under the License.
-import hmac
 import logging
 import random
 from typing import List, Union
@@ -28,6 +27,7 @@ from synapse.api.errors import (
     ThreepidValidationError,
     UnrecognizedRequestError,
 )
+from synapse.api.ratelimiting import Ratelimiter
 from synapse.config import ConfigError
 from synapse.config.captcha import CaptchaConfig
 from synapse.config.consent import ConsentConfig
@@ -59,18 +59,6 @@ from synapse.util.threepids import (
 
 from ._base import client_patterns, interactive_auth_handler
 
-# We ought to be using hmac.compare_digest() but on older pythons it doesn't
-# exist. It's a _really minor_ security flaw to use plain string comparison
-# because the timing attack is so obscured by all the other code here it's
-# unlikely to make much difference
-if hasattr(hmac, "compare_digest"):
-    compare_digest = hmac.compare_digest
-else:
-
-    def compare_digest(a, b):
-        return a == b
-
-
 logger = logging.getLogger(__name__)
 
 
@@ -379,6 +367,55 @@ class UsernameAvailabilityRestServlet(RestServlet):
             return 200, {"available": True}
 
 
+class RegistrationTokenValidityRestServlet(RestServlet):
+    """Check the validity of a registration token.
+
+    Example:
+
+        GET /_matrix/client/unstable/org.matrix.msc3231/register/org.matrix.msc3231.login.registration_token/validity?token=abcd
+
+        200 OK
+
+        {
+            "valid": true
+        }
+    """
+
+    PATTERNS = client_patterns(
+        f"/org.matrix.msc3231/register/{LoginType.REGISTRATION_TOKEN}/validity",
+        releases=(),
+        unstable=True,
+    )
+
+    def __init__(self, hs):
+        """
+        Args:
+            hs (synapse.server.HomeServer): server
+        """
+        super().__init__()
+        self.hs = hs
+        self.store = hs.get_datastore()
+        self.ratelimiter = Ratelimiter(
+            store=self.store,
+            clock=hs.get_clock(),
+            rate_hz=hs.config.ratelimiting.rc_registration_token_validity.per_second,
+            burst_count=hs.config.ratelimiting.rc_registration_token_validity.burst_count,
+        )
+
+    async def on_GET(self, request):
+        await self.ratelimiter.ratelimit(None, (request.getClientIP(),))
+
+        if not self.hs.config.enable_registration:
+            raise SynapseError(
+                403, "Registration has been disabled", errcode=Codes.FORBIDDEN
+            )
+
+        token = parse_string(request, "token", required=True)
+        valid = await self.store.registration_token_is_valid(token)
+
+        return 200, {"valid": valid}
+
+
 class RegisterRestServlet(RestServlet):
     PATTERNS = client_patterns("/register$")
 
@@ -686,6 +723,22 @@ class RegisterRestServlet(RestServlet):
         )
 
         if registered:
+            # Check if a token was used to authenticate registration
+            registration_token = await self.auth_handler.get_session_data(
+                session_id,
+                UIAuthSessionDataConstants.REGISTRATION_TOKEN,
+            )
+            if registration_token:
+                # Increment the `completed` counter for the token
+                await self.store.use_registration_token(registration_token)
+                # Indicate that the token has been successfully used so that
+                # pending is not decremented again when expiring old UIA sessions.
+                await self.store.mark_ui_auth_stage_complete(
+                    session_id,
+                    LoginType.REGISTRATION_TOKEN,
+                    True,
+                )
+
             await self.registration_handler.post_registration_actions(
                 user_id=registered_user_id,
                 auth_result=auth_result,
@@ -868,6 +921,11 @@ def _calculate_registration_flows(
         for flow in flows:
             flow.insert(0, LoginType.RECAPTCHA)
 
+    # Prepend registration token to all flows if we're requiring a token
+    if config.registration_requires_token:
+        for flow in flows:
+            flow.insert(0, LoginType.REGISTRATION_TOKEN)
+
     return flows
 
 
@@ -876,4 +934,5 @@ def register_servlets(hs, http_server):
     MsisdnRegisterRequestTokenRestServlet(hs).register(http_server)
     UsernameAvailabilityRestServlet(hs).register(http_server)
     RegistrationSubmitTokenServlet(hs).register(http_server)
+    RegistrationTokenValidityRestServlet(hs).register(http_server)
     RegisterRestServlet(hs).register(http_server)
diff --git a/synapse/rest/client/room_upgrade_rest_servlet.py b/synapse/rest/client/room_upgrade_rest_servlet.py
index 6d1b083acb..6a7792e18b 100644
--- a/synapse/rest/client/room_upgrade_rest_servlet.py
+++ b/synapse/rest/client/room_upgrade_rest_servlet.py
@@ -13,18 +13,25 @@
 # limitations under the License.
 
 import logging
+from typing import TYPE_CHECKING, Tuple
 
 from synapse.api.errors import Codes, ShadowBanError, SynapseError
 from synapse.api.room_versions import KNOWN_ROOM_VERSIONS
+from synapse.http.server import HttpServer
 from synapse.http.servlet import (
     RestServlet,
     assert_params_in_dict,
     parse_json_object_from_request,
 )
+from synapse.http.site import SynapseRequest
+from synapse.types import JsonDict
 from synapse.util import stringutils
 
 from ._base import client_patterns
 
+if TYPE_CHECKING:
+    from synapse.server import HomeServer
+
 logger = logging.getLogger(__name__)
 
 
@@ -41,9 +48,6 @@ class RoomUpgradeRestServlet(RestServlet):
         }
 
     Creates a new room and shuts down the old one. Returns the ID of the new room.
-
-    Args:
-        hs (synapse.server.HomeServer):
     """
 
     PATTERNS = client_patterns(
@@ -51,13 +55,15 @@ class RoomUpgradeRestServlet(RestServlet):
         "/rooms/(?P<room_id>[^/]*)/upgrade$"
     )
 
-    def __init__(self, hs):
+    def __init__(self, hs: "HomeServer"):
         super().__init__()
         self._hs = hs
         self._room_creation_handler = hs.get_room_creation_handler()
         self._auth = hs.get_auth()
 
-    async def on_POST(self, request, room_id):
+    async def on_POST(
+        self, request: SynapseRequest, room_id: str
+    ) -> Tuple[int, JsonDict]:
         requester = await self._auth.get_user_by_req(request)
 
         content = parse_json_object_from_request(request)
@@ -84,5 +90,5 @@ class RoomUpgradeRestServlet(RestServlet):
         return 200, ret
 
 
-def register_servlets(hs, http_server):
+def register_servlets(hs: "HomeServer", http_server: HttpServer) -> None:
     RoomUpgradeRestServlet(hs).register(http_server)
diff --git a/synapse/rest/client/shared_rooms.py b/synapse/rest/client/shared_rooms.py
index d2e7f04b40..1d90493eb0 100644
--- a/synapse/rest/client/shared_rooms.py
+++ b/synapse/rest/client/shared_rooms.py
@@ -12,13 +12,19 @@
 # See the License for the specific language governing permissions and
 # limitations under the License.
 import logging
+from typing import TYPE_CHECKING, Tuple
 
 from synapse.api.errors import Codes, SynapseError
+from synapse.http.server import HttpServer
 from synapse.http.servlet import RestServlet
-from synapse.types import UserID
+from synapse.http.site import SynapseRequest
+from synapse.types import JsonDict, UserID
 
 from ._base import client_patterns
 
+if TYPE_CHECKING:
+    from synapse.server import HomeServer
+
 logger = logging.getLogger(__name__)
 
 
@@ -32,13 +38,15 @@ class UserSharedRoomsServlet(RestServlet):
         releases=(),  # This is an unstable feature
     )
 
-    def __init__(self, hs):
+    def __init__(self, hs: "HomeServer"):
         super().__init__()
         self.auth = hs.get_auth()
         self.store = hs.get_datastore()
         self.user_directory_active = hs.config.update_user_directory
 
-    async def on_GET(self, request, user_id):
+    async def on_GET(
+        self, request: SynapseRequest, user_id: str
+    ) -> Tuple[int, JsonDict]:
 
         if not self.user_directory_active:
             raise SynapseError(
@@ -63,5 +71,5 @@ class UserSharedRoomsServlet(RestServlet):
         return 200, {"joined": list(rooms)}
 
 
-def register_servlets(hs, http_server):
+def register_servlets(hs: "HomeServer", http_server: HttpServer) -> None:
     UserSharedRoomsServlet(hs).register(http_server)
diff --git a/synapse/rest/client/sync.py b/synapse/rest/client/sync.py
index e18f4d01b3..65c37be3e9 100644
--- a/synapse/rest/client/sync.py
+++ b/synapse/rest/client/sync.py
@@ -14,17 +14,26 @@
 import itertools
 import logging
 from collections import defaultdict
-from typing import TYPE_CHECKING, Any, Callable, Dict, List, Tuple
+from typing import TYPE_CHECKING, Any, Callable, Dict, List, Optional, Tuple, Union
 
 from synapse.api.constants import Membership, PresenceState
 from synapse.api.errors import Codes, StoreError, SynapseError
 from synapse.api.filtering import DEFAULT_FILTER_COLLECTION, FilterCollection
+from synapse.api.presence import UserPresenceState
 from synapse.events.utils import (
     format_event_for_client_v2_without_room_id,
     format_event_raw,
 )
 from synapse.handlers.presence import format_user_presence_state
-from synapse.handlers.sync import KnockedSyncResult, SyncConfig
+from synapse.handlers.sync import (
+    ArchivedSyncResult,
+    InvitedSyncResult,
+    JoinedSyncResult,
+    KnockedSyncResult,
+    SyncConfig,
+    SyncResult,
+)
+from synapse.http.server import HttpServer
 from synapse.http.servlet import RestServlet, parse_boolean, parse_integer, parse_string
 from synapse.http.site import SynapseRequest
 from synapse.types import JsonDict, StreamToken
@@ -192,6 +201,8 @@ class SyncRestServlet(RestServlet):
             return 200, {}
 
         time_now = self.clock.time_msec()
+        # We know that the the requester has an access token since appservices
+        # cannot use sync.
         response_content = await self.encode_response(
             time_now, sync_result, requester.access_token_id, filter_collection
         )
@@ -199,7 +210,13 @@ class SyncRestServlet(RestServlet):
         logger.debug("Event formatting complete")
         return 200, response_content
 
-    async def encode_response(self, time_now, sync_result, access_token_id, filter):
+    async def encode_response(
+        self,
+        time_now: int,
+        sync_result: SyncResult,
+        access_token_id: Optional[int],
+        filter: FilterCollection,
+    ) -> JsonDict:
         logger.debug("Formatting events in sync response")
         if filter.event_format == "client":
             event_formatter = format_event_for_client_v2_without_room_id
@@ -234,7 +251,7 @@ class SyncRestServlet(RestServlet):
 
         logger.debug("building sync response dict")
 
-        response: dict = defaultdict(dict)
+        response: JsonDict = defaultdict(dict)
         response["next_batch"] = await sync_result.next_batch.to_string(self.store)
 
         if sync_result.account_data:
@@ -274,6 +291,8 @@ class SyncRestServlet(RestServlet):
         if archived:
             response["rooms"][Membership.LEAVE] = archived
 
+        # By the time we get here groups is no longer optional.
+        assert sync_result.groups is not None
         if sync_result.groups.join:
             response["groups"][Membership.JOIN] = sync_result.groups.join
         if sync_result.groups.invite:
@@ -284,7 +303,7 @@ class SyncRestServlet(RestServlet):
         return response
 
     @staticmethod
-    def encode_presence(events, time_now):
+    def encode_presence(events: List[UserPresenceState], time_now: int) -> JsonDict:
         return {
             "events": [
                 {
@@ -299,25 +318,27 @@ class SyncRestServlet(RestServlet):
         }
 
     async def encode_joined(
-        self, rooms, time_now, token_id, event_fields, event_formatter
-    ):
+        self,
+        rooms: List[JoinedSyncResult],
+        time_now: int,
+        token_id: Optional[int],
+        event_fields: List[str],
+        event_formatter: Callable[[JsonDict], JsonDict],
+    ) -> JsonDict:
         """
         Encode the joined rooms in a sync result
 
         Args:
-            rooms(list[synapse.handlers.sync.JoinedSyncResult]): list of sync
-                results for rooms this user is joined to
-            time_now(int): current time - used as a baseline for age
-                calculations
-            token_id(int): ID of the user's auth token - used for namespacing
+            rooms: list of sync results for rooms this user is joined to
+            time_now: current time - used as a baseline for age calculations
+            token_id: ID of the user's auth token - used for namespacing
                 of transaction IDs
-            event_fields(list<str>): List of event fields to include. If empty,
+            event_fields: List of event fields to include. If empty,
                 all fields will be returned.
-            event_formatter (func[dict]): function to convert from federation format
+            event_formatter: function to convert from federation format
                 to client format
         Returns:
-            dict[str, dict[str, object]]: the joined rooms list, in our
-                response format
+            The joined rooms list, in our response format
         """
         joined = {}
         for room in rooms:
@@ -332,23 +353,26 @@ class SyncRestServlet(RestServlet):
 
         return joined
 
-    async def encode_invited(self, rooms, time_now, token_id, event_formatter):
+    async def encode_invited(
+        self,
+        rooms: List[InvitedSyncResult],
+        time_now: int,
+        token_id: Optional[int],
+        event_formatter: Callable[[JsonDict], JsonDict],
+    ) -> JsonDict:
         """
         Encode the invited rooms in a sync result
 
         Args:
-            rooms(list[synapse.handlers.sync.InvitedSyncResult]): list of
-                sync results for rooms this user is invited to
-            time_now(int): current time - used as a baseline for age
-                calculations
-            token_id(int): ID of the user's auth token - used for namespacing
+            rooms: list of sync results for rooms this user is invited to
+            time_now: current time - used as a baseline for age calculations
+            token_id: ID of the user's auth token - used for namespacing
                 of transaction IDs
-            event_formatter (func[dict]): function to convert from federation format
+            event_formatter: function to convert from federation format
                 to client format
 
         Returns:
-            dict[str, dict[str, object]]: the invited rooms list, in our
-                response format
+            The invited rooms list, in our response format
         """
         invited = {}
         for room in rooms:
@@ -371,7 +395,7 @@ class SyncRestServlet(RestServlet):
         self,
         rooms: List[KnockedSyncResult],
         time_now: int,
-        token_id: int,
+        token_id: Optional[int],
         event_formatter: Callable[[Dict], Dict],
     ) -> Dict[str, Dict[str, Any]]:
         """
@@ -422,25 +446,26 @@ class SyncRestServlet(RestServlet):
         return knocked
 
     async def encode_archived(
-        self, rooms, time_now, token_id, event_fields, event_formatter
-    ):
+        self,
+        rooms: List[ArchivedSyncResult],
+        time_now: int,
+        token_id: Optional[int],
+        event_fields: List[str],
+        event_formatter: Callable[[JsonDict], JsonDict],
+    ) -> JsonDict:
         """
         Encode the archived rooms in a sync result
 
         Args:
-            rooms (list[synapse.handlers.sync.ArchivedSyncResult]): list of
-                sync results for rooms this user is joined to
-            time_now(int): current time - used as a baseline for age
-                calculations
-            token_id(int): ID of the user's auth token - used for namespacing
+            rooms: list of sync results for rooms this user is joined to
+            time_now: current time - used as a baseline for age calculations
+            token_id: ID of the user's auth token - used for namespacing
                 of transaction IDs
-            event_fields(list<str>): List of event fields to include. If empty,
+            event_fields: List of event fields to include. If empty,
                 all fields will be returned.
-            event_formatter (func[dict]): function to convert from federation format
-                to client format
+            event_formatter: function to convert from federation format to client format
         Returns:
-            dict[str, dict[str, object]]: The invited rooms list, in our
-                response format
+            The archived rooms list, in our response format
         """
         joined = {}
         for room in rooms:
@@ -456,23 +481,27 @@ class SyncRestServlet(RestServlet):
         return joined
 
     async def encode_room(
-        self, room, time_now, token_id, joined, only_fields, event_formatter
-    ):
+        self,
+        room: Union[JoinedSyncResult, ArchivedSyncResult],
+        time_now: int,
+        token_id: Optional[int],
+        joined: bool,
+        only_fields: Optional[List[str]],
+        event_formatter: Callable[[JsonDict], JsonDict],
+    ) -> JsonDict:
         """
         Args:
-            room (JoinedSyncResult|ArchivedSyncResult): sync result for a
-                single room
-            time_now (int): current time - used as a baseline for age
-                calculations
-            token_id (int): ID of the user's auth token - used for namespacing
+            room: sync result for a single room
+            time_now: current time - used as a baseline for age calculations
+            token_id: ID of the user's auth token - used for namespacing
                 of transaction IDs
-            joined (bool): True if the user is joined to this room - will mean
+            joined: True if the user is joined to this room - will mean
                 we handle ephemeral events
-            only_fields(list<str>): Optional. The list of event fields to include.
-            event_formatter (func[dict]): function to convert from federation format
+            only_fields: Optional. The list of event fields to include.
+            event_formatter: function to convert from federation format
                 to client format
         Returns:
-            dict[str, object]: the room, encoded in our response format
+            The room, encoded in our response format
         """
 
         def serialize(events):
@@ -508,7 +537,7 @@ class SyncRestServlet(RestServlet):
 
         account_data = room.account_data
 
-        result = {
+        result: JsonDict = {
             "timeline": {
                 "events": serialized_timeline,
                 "prev_batch": await room.timeline.prev_batch.to_string(self.store),
@@ -519,6 +548,7 @@ class SyncRestServlet(RestServlet):
         }
 
         if joined:
+            assert isinstance(room, JoinedSyncResult)
             ephemeral_events = room.ephemeral
             result["ephemeral"] = {"events": ephemeral_events}
             result["unread_notifications"] = room.unread_notifications
@@ -528,5 +558,5 @@ class SyncRestServlet(RestServlet):
         return result
 
 
-def register_servlets(hs, http_server):
+def register_servlets(hs: "HomeServer", http_server: HttpServer) -> None:
     SyncRestServlet(hs).register(http_server)
diff --git a/synapse/rest/client/tags.py b/synapse/rest/client/tags.py
index c14f83be18..c88cb9367c 100644
--- a/synapse/rest/client/tags.py
+++ b/synapse/rest/client/tags.py
@@ -13,12 +13,19 @@
 # limitations under the License.
 
 import logging
+from typing import TYPE_CHECKING, Tuple
 
 from synapse.api.errors import AuthError
+from synapse.http.server import HttpServer
 from synapse.http.servlet import RestServlet, parse_json_object_from_request
+from synapse.http.site import SynapseRequest
+from synapse.types import JsonDict
 
 from ._base import client_patterns
 
+if TYPE_CHECKING:
+    from synapse.server import HomeServer
+
 logger = logging.getLogger(__name__)
 
 
@@ -29,12 +36,14 @@ class TagListServlet(RestServlet):
 
     PATTERNS = client_patterns("/user/(?P<user_id>[^/]*)/rooms/(?P<room_id>[^/]*)/tags")
 
-    def __init__(self, hs):
+    def __init__(self, hs: "HomeServer"):
         super().__init__()
         self.auth = hs.get_auth()
         self.store = hs.get_datastore()
 
-    async def on_GET(self, request, user_id, room_id):
+    async def on_GET(
+        self, request: SynapseRequest, user_id: str, room_id: str
+    ) -> Tuple[int, JsonDict]:
         requester = await self.auth.get_user_by_req(request)
         if user_id != requester.user.to_string():
             raise AuthError(403, "Cannot get tags for other users.")
@@ -54,12 +63,14 @@ class TagServlet(RestServlet):
         "/user/(?P<user_id>[^/]*)/rooms/(?P<room_id>[^/]*)/tags/(?P<tag>[^/]*)"
     )
 
-    def __init__(self, hs):
+    def __init__(self, hs: "HomeServer"):
         super().__init__()
         self.auth = hs.get_auth()
         self.handler = hs.get_account_data_handler()
 
-    async def on_PUT(self, request, user_id, room_id, tag):
+    async def on_PUT(
+        self, request: SynapseRequest, user_id: str, room_id: str, tag: str
+    ) -> Tuple[int, JsonDict]:
         requester = await self.auth.get_user_by_req(request)
         if user_id != requester.user.to_string():
             raise AuthError(403, "Cannot add tags for other users.")
@@ -70,7 +81,9 @@ class TagServlet(RestServlet):
 
         return 200, {}
 
-    async def on_DELETE(self, request, user_id, room_id, tag):
+    async def on_DELETE(
+        self, request: SynapseRequest, user_id: str, room_id: str, tag: str
+    ) -> Tuple[int, JsonDict]:
         requester = await self.auth.get_user_by_req(request)
         if user_id != requester.user.to_string():
             raise AuthError(403, "Cannot add tags for other users.")
@@ -80,6 +93,6 @@ class TagServlet(RestServlet):
         return 200, {}
 
 
-def register_servlets(hs, http_server):
+def register_servlets(hs: "HomeServer", http_server: HttpServer) -> None:
     TagListServlet(hs).register(http_server)
     TagServlet(hs).register(http_server)
diff --git a/synapse/rest/client/thirdparty.py b/synapse/rest/client/thirdparty.py
index b5c67c9bb6..b895c73acf 100644
--- a/synapse/rest/client/thirdparty.py
+++ b/synapse/rest/client/thirdparty.py
@@ -12,27 +12,33 @@
 # See the License for the specific language governing permissions and
 # limitations under the License.
 
-
 import logging
+from typing import TYPE_CHECKING, Dict, List, Tuple
 
 from synapse.api.constants import ThirdPartyEntityKind
+from synapse.http.server import HttpServer
 from synapse.http.servlet import RestServlet
+from synapse.http.site import SynapseRequest
+from synapse.types import JsonDict
 
 from ._base import client_patterns
 
+if TYPE_CHECKING:
+    from synapse.server import HomeServer
+
 logger = logging.getLogger(__name__)
 
 
 class ThirdPartyProtocolsServlet(RestServlet):
     PATTERNS = client_patterns("/thirdparty/protocols")
 
-    def __init__(self, hs):
+    def __init__(self, hs: "HomeServer"):
         super().__init__()
 
         self.auth = hs.get_auth()
         self.appservice_handler = hs.get_application_service_handler()
 
-    async def on_GET(self, request):
+    async def on_GET(self, request: SynapseRequest) -> Tuple[int, JsonDict]:
         await self.auth.get_user_by_req(request, allow_guest=True)
 
         protocols = await self.appservice_handler.get_3pe_protocols()
@@ -42,13 +48,15 @@ class ThirdPartyProtocolsServlet(RestServlet):
 class ThirdPartyProtocolServlet(RestServlet):
     PATTERNS = client_patterns("/thirdparty/protocol/(?P<protocol>[^/]+)$")
 
-    def __init__(self, hs):
+    def __init__(self, hs: "HomeServer"):
         super().__init__()
 
         self.auth = hs.get_auth()
         self.appservice_handler = hs.get_application_service_handler()
 
-    async def on_GET(self, request, protocol):
+    async def on_GET(
+        self, request: SynapseRequest, protocol: str
+    ) -> Tuple[int, JsonDict]:
         await self.auth.get_user_by_req(request, allow_guest=True)
 
         protocols = await self.appservice_handler.get_3pe_protocols(
@@ -63,16 +71,18 @@ class ThirdPartyProtocolServlet(RestServlet):
 class ThirdPartyUserServlet(RestServlet):
     PATTERNS = client_patterns("/thirdparty/user(/(?P<protocol>[^/]+))?$")
 
-    def __init__(self, hs):
+    def __init__(self, hs: "HomeServer"):
         super().__init__()
 
         self.auth = hs.get_auth()
         self.appservice_handler = hs.get_application_service_handler()
 
-    async def on_GET(self, request, protocol):
+    async def on_GET(
+        self, request: SynapseRequest, protocol: str
+    ) -> Tuple[int, List[JsonDict]]:
         await self.auth.get_user_by_req(request, allow_guest=True)
 
-        fields = request.args
+        fields: Dict[bytes, List[bytes]] = request.args  # type: ignore[assignment]
         fields.pop(b"access_token", None)
 
         results = await self.appservice_handler.query_3pe(
@@ -85,16 +95,18 @@ class ThirdPartyUserServlet(RestServlet):
 class ThirdPartyLocationServlet(RestServlet):
     PATTERNS = client_patterns("/thirdparty/location(/(?P<protocol>[^/]+))?$")
 
-    def __init__(self, hs):
+    def __init__(self, hs: "HomeServer"):
         super().__init__()
 
         self.auth = hs.get_auth()
         self.appservice_handler = hs.get_application_service_handler()
 
-    async def on_GET(self, request, protocol):
+    async def on_GET(
+        self, request: SynapseRequest, protocol: str
+    ) -> Tuple[int, List[JsonDict]]:
         await self.auth.get_user_by_req(request, allow_guest=True)
 
-        fields = request.args
+        fields: Dict[bytes, List[bytes]] = request.args  # type: ignore[assignment]
         fields.pop(b"access_token", None)
 
         results = await self.appservice_handler.query_3pe(
@@ -104,7 +116,7 @@ class ThirdPartyLocationServlet(RestServlet):
         return 200, results
 
 
-def register_servlets(hs, http_server):
+def register_servlets(hs: "HomeServer", http_server: HttpServer) -> None:
     ThirdPartyProtocolsServlet(hs).register(http_server)
     ThirdPartyProtocolServlet(hs).register(http_server)
     ThirdPartyUserServlet(hs).register(http_server)
diff --git a/synapse/rest/client/tokenrefresh.py b/synapse/rest/client/tokenrefresh.py
index b2f858545c..c8c3b25bd3 100644
--- a/synapse/rest/client/tokenrefresh.py
+++ b/synapse/rest/client/tokenrefresh.py
@@ -12,11 +12,19 @@
 # See the License for the specific language governing permissions and
 # limitations under the License.
 
+from typing import TYPE_CHECKING
+
+from twisted.web.server import Request
+
 from synapse.api.errors import AuthError
+from synapse.http.server import HttpServer
 from synapse.http.servlet import RestServlet
 
 from ._base import client_patterns
 
+if TYPE_CHECKING:
+    from synapse.server import HomeServer
+
 
 class TokenRefreshRestServlet(RestServlet):
     """
@@ -26,12 +34,12 @@ class TokenRefreshRestServlet(RestServlet):
 
     PATTERNS = client_patterns("/tokenrefresh")
 
-    def __init__(self, hs):
+    def __init__(self, hs: "HomeServer"):
         super().__init__()
 
-    async def on_POST(self, request):
+    async def on_POST(self, request: Request) -> None:
         raise AuthError(403, "tokenrefresh is no longer supported.")
 
 
-def register_servlets(hs, http_server):
+def register_servlets(hs: "HomeServer", http_server: HttpServer) -> None:
     TokenRefreshRestServlet(hs).register(http_server)
diff --git a/synapse/rest/client/user_directory.py b/synapse/rest/client/user_directory.py
index 7e8912f0b9..8852811114 100644
--- a/synapse/rest/client/user_directory.py
+++ b/synapse/rest/client/user_directory.py
@@ -13,29 +13,32 @@
 # limitations under the License.
 
 import logging
+from typing import TYPE_CHECKING, Tuple
 
 from synapse.api.errors import SynapseError
+from synapse.http.server import HttpServer
 from synapse.http.servlet import RestServlet, parse_json_object_from_request
+from synapse.http.site import SynapseRequest
+from synapse.types import JsonDict
 
 from ._base import client_patterns
 
+if TYPE_CHECKING:
+    from synapse.server import HomeServer
+
 logger = logging.getLogger(__name__)
 
 
 class UserDirectorySearchRestServlet(RestServlet):
     PATTERNS = client_patterns("/user_directory/search$")
 
-    def __init__(self, hs):
-        """
-        Args:
-            hs (synapse.server.HomeServer): server
-        """
+    def __init__(self, hs: "HomeServer"):
         super().__init__()
         self.hs = hs
         self.auth = hs.get_auth()
         self.user_directory_handler = hs.get_user_directory_handler()
 
-    async def on_POST(self, request):
+    async def on_POST(self, request: SynapseRequest) -> Tuple[int, JsonDict]:
         """Searches for users in directory
 
         Returns:
@@ -75,5 +78,5 @@ class UserDirectorySearchRestServlet(RestServlet):
         return 200, results
 
 
-def register_servlets(hs, http_server):
+def register_servlets(hs: "HomeServer", http_server: HttpServer) -> None:
     UserDirectorySearchRestServlet(hs).register(http_server)
diff --git a/synapse/rest/client/versions.py b/synapse/rest/client/versions.py
index fa2e4e9cba..a1a815cf82 100644
--- a/synapse/rest/client/versions.py
+++ b/synapse/rest/client/versions.py
@@ -17,9 +17,17 @@
 
 import logging
 import re
+from typing import TYPE_CHECKING, Tuple
+
+from twisted.web.server import Request
 
 from synapse.api.constants import RoomCreationPreset
+from synapse.http.server import HttpServer
 from synapse.http.servlet import RestServlet
+from synapse.types import JsonDict
+
+if TYPE_CHECKING:
+    from synapse.server import HomeServer
 
 logger = logging.getLogger(__name__)
 
@@ -27,7 +35,7 @@ logger = logging.getLogger(__name__)
 class VersionsRestServlet(RestServlet):
     PATTERNS = [re.compile("^/_matrix/client/versions$")]
 
-    def __init__(self, hs):
+    def __init__(self, hs: "HomeServer"):
         super().__init__()
         self.config = hs.config
 
@@ -45,7 +53,7 @@ class VersionsRestServlet(RestServlet):
             in self.config.encryption_enabled_by_default_for_room_presets
         )
 
-    def on_GET(self, request):
+    def on_GET(self, request: Request) -> Tuple[int, JsonDict]:
         return (
             200,
             {
@@ -89,5 +97,5 @@ class VersionsRestServlet(RestServlet):
         )
 
 
-def register_servlets(hs, http_server):
+def register_servlets(hs: "HomeServer", http_server: HttpServer) -> None:
     VersionsRestServlet(hs).register(http_server)
diff --git a/synapse/rest/client/voip.py b/synapse/rest/client/voip.py
index f53020520d..9d46ed3af3 100644
--- a/synapse/rest/client/voip.py
+++ b/synapse/rest/client/voip.py
@@ -15,20 +15,27 @@
 import base64
 import hashlib
 import hmac
+from typing import TYPE_CHECKING, Tuple
 
+from synapse.http.server import HttpServer
 from synapse.http.servlet import RestServlet
+from synapse.http.site import SynapseRequest
 from synapse.rest.client._base import client_patterns
+from synapse.types import JsonDict
+
+if TYPE_CHECKING:
+    from synapse.server import HomeServer
 
 
 class VoipRestServlet(RestServlet):
     PATTERNS = client_patterns("/voip/turnServer$", v1=True)
 
-    def __init__(self, hs):
+    def __init__(self, hs: "HomeServer"):
         super().__init__()
         self.hs = hs
         self.auth = hs.get_auth()
 
-    async def on_GET(self, request):
+    async def on_GET(self, request: SynapseRequest) -> Tuple[int, JsonDict]:
         requester = await self.auth.get_user_by_req(
             request, self.hs.config.turn_allow_guests
         )
@@ -69,5 +76,5 @@ class VoipRestServlet(RestServlet):
         )
 
 
-def register_servlets(hs, http_server):
+def register_servlets(hs: "HomeServer", http_server: HttpServer) -> None:
     VoipRestServlet(hs).register(http_server)
diff --git a/synapse/rest/media/v1/thumbnail_resource.py b/synapse/rest/media/v1/thumbnail_resource.py
index a029d426f0..12bd745cb2 100644
--- a/synapse/rest/media/v1/thumbnail_resource.py
+++ b/synapse/rest/media/v1/thumbnail_resource.py
@@ -15,7 +15,7 @@
 
 
 import logging
-from typing import TYPE_CHECKING, Any, Dict, List, Optional
+from typing import TYPE_CHECKING, Any, Dict, List, Optional, Tuple
 
 from twisted.web.server import Request
 
@@ -414,9 +414,9 @@ class ThumbnailResource(DirectServeJsonResource):
 
         if desired_method == "crop":
             # Thumbnails that match equal or larger sizes of desired width/height.
-            crop_info_list = []
+            crop_info_list: List[Tuple[int, int, int, bool, int, Dict[str, Any]]] = []
             # Other thumbnails.
-            crop_info_list2 = []
+            crop_info_list2: List[Tuple[int, int, int, bool, int, Dict[str, Any]]] = []
             for info in thumbnail_infos:
                 # Skip thumbnails generated with different methods.
                 if info["thumbnail_method"] != "crop":
@@ -451,15 +451,19 @@ class ThumbnailResource(DirectServeJsonResource):
                             info,
                         )
                     )
+            # Pick the most appropriate thumbnail. Some values of `desired_width` and
+            # `desired_height` may result in a tie, in which case we avoid comparing on
+            # the thumbnail info dictionary and pick the thumbnail that appears earlier
+            # in the list of candidates.
             if crop_info_list:
-                thumbnail_info = min(crop_info_list)[-1]
+                thumbnail_info = min(crop_info_list, key=lambda t: t[:-1])[-1]
             elif crop_info_list2:
-                thumbnail_info = min(crop_info_list2)[-1]
+                thumbnail_info = min(crop_info_list2, key=lambda t: t[:-1])[-1]
         elif desired_method == "scale":
             # Thumbnails that match equal or larger sizes of desired width/height.
-            info_list = []
+            info_list: List[Tuple[int, bool, int, Dict[str, Any]]] = []
             # Other thumbnails.
-            info_list2 = []
+            info_list2: List[Tuple[int, bool, int, Dict[str, Any]]] = []
 
             for info in thumbnail_infos:
                 # Skip thumbnails generated with different methods.
@@ -477,10 +481,14 @@ class ThumbnailResource(DirectServeJsonResource):
                     info_list2.append(
                         (size_quality, type_quality, length_quality, info)
                     )
+            # Pick the most appropriate thumbnail. Some values of `desired_width` and
+            # `desired_height` may result in a tie, in which case we avoid comparing on
+            # the thumbnail info dictionary and pick the thumbnail that appears earlier
+            # in the list of candidates.
             if info_list:
-                thumbnail_info = min(info_list)[-1]
+                thumbnail_info = min(info_list, key=lambda t: t[:-1])[-1]
             elif info_list2:
-                thumbnail_info = min(info_list2)[-1]
+                thumbnail_info = min(info_list2, key=lambda t: t[:-1])[-1]
 
         if thumbnail_info:
             return FileInfo(
diff --git a/synapse/server.py b/synapse/server.py
index de6517663e..5adeeff61a 100644
--- a/synapse/server.py
+++ b/synapse/server.py
@@ -76,6 +76,7 @@ from synapse.handlers.e2e_room_keys import E2eRoomKeysHandler
 from synapse.handlers.event_auth import EventAuthHandler
 from synapse.handlers.events import EventHandler, EventStreamHandler
 from synapse.handlers.federation import FederationHandler
+from synapse.handlers.federation_event import FederationEventHandler
 from synapse.handlers.groups_local import GroupsLocalHandler, GroupsLocalWorkerHandler
 from synapse.handlers.identity import IdentityHandler
 from synapse.handlers.initial_sync import InitialSyncHandler
@@ -547,6 +548,10 @@ class HomeServer(metaclass=abc.ABCMeta):
         return FederationHandler(self)
 
     @cache_in_self
+    def get_federation_event_handler(self) -> FederationEventHandler:
+        return FederationEventHandler(self)
+
+    @cache_in_self
     def get_identity_handler(self) -> IdentityHandler:
         return IdentityHandler(self)
 
diff --git a/synapse/server_notices/server_notices_manager.py b/synapse/server_notices/server_notices_manager.py
index f19075b760..d87a538917 100644
--- a/synapse/server_notices/server_notices_manager.py
+++ b/synapse/server_notices/server_notices_manager.py
@@ -12,26 +12,23 @@
 # See the License for the specific language governing permissions and
 # limitations under the License.
 import logging
-from typing import Optional
+from typing import TYPE_CHECKING, Optional
 
 from synapse.api.constants import EventTypes, Membership, RoomCreationPreset
 from synapse.events import EventBase
 from synapse.types import UserID, create_requester
 from synapse.util.caches.descriptors import cached
 
+if TYPE_CHECKING:
+    from synapse.server import HomeServer
+
 logger = logging.getLogger(__name__)
 
 SERVER_NOTICE_ROOM_TAG = "m.server_notice"
 
 
 class ServerNoticesManager:
-    def __init__(self, hs):
-        """
-
-        Args:
-            hs (synapse.server.HomeServer):
-        """
-
+    def __init__(self, hs: "HomeServer"):
         self._store = hs.get_datastore()
         self._config = hs.config
         self._account_data_handler = hs.get_account_data_handler()
@@ -58,6 +55,7 @@ class ServerNoticesManager:
         event_content: dict,
         type: str = EventTypes.Message,
         state_key: Optional[str] = None,
+        txn_id: Optional[str] = None,
     ) -> EventBase:
         """Send a notice to the given user
 
@@ -68,6 +66,7 @@ class ServerNoticesManager:
             event_content: content of event to send
             type: type of event
             is_state_event: Is the event a state event
+            txn_id: The transaction ID.
         """
         room_id = await self.get_or_create_notice_room_for_user(user_id)
         await self.maybe_invite_user_to_room(user_id, room_id)
@@ -90,7 +89,7 @@ class ServerNoticesManager:
             event_dict["state_key"] = state_key
 
         event, _ = await self._event_creation_handler.create_and_send_nonmember_event(
-            requester, event_dict, ratelimit=False
+            requester, event_dict, ratelimit=False, txn_id=txn_id
         )
         return event
 
diff --git a/synapse/static/client/register/style.css b/synapse/static/client/register/style.css
index 5a7b6eebf2..8a39b5d0f5 100644
--- a/synapse/static/client/register/style.css
+++ b/synapse/static/client/register/style.css
@@ -57,4 +57,8 @@ textarea, input {
     
     background-color: #f8f8f8;
     border: 1px #ccc solid;
-}
\ No newline at end of file
+}
+
+.error {
+	color: red;
+}
diff --git a/synapse/storage/databases/main/__init__.py b/synapse/storage/databases/main/__init__.py
index 01b918e12e..00a644e8f7 100644
--- a/synapse/storage/databases/main/__init__.py
+++ b/synapse/storage/databases/main/__init__.py
@@ -63,6 +63,7 @@ from .relations import RelationsStore
 from .room import RoomStore
 from .roommember import RoomMemberStore
 from .search import SearchStore
+from .session import SessionStore
 from .signatures import SignatureStore
 from .state import StateStore
 from .stats import StatsStore
@@ -121,6 +122,7 @@ class DataStore(
     ServerMetricsStore,
     EventForwardExtremitiesStore,
     LockStore,
+    SessionStore,
 ):
     def __init__(self, database: DatabasePool, db_conn, hs):
         self.hs = hs
diff --git a/synapse/storage/databases/main/events_worker.py b/synapse/storage/databases/main/events_worker.py
index 375463e4e9..9501f00f3b 100644
--- a/synapse/storage/databases/main/events_worker.py
+++ b/synapse/storage/databases/main/events_worker.py
@@ -520,16 +520,26 @@ class EventsWorkerStore(SQLBaseStore):
         # We now look up if we're already fetching some of the events in the DB,
         # if so we wait for those lookups to finish instead of pulling the same
         # events out of the DB multiple times.
-        already_fetching: Dict[str, defer.Deferred] = {}
+        #
+        # Note: we might get the same `ObservableDeferred` back for multiple
+        # events we're already fetching, so we deduplicate the deferreds to
+        # avoid extraneous work (if we don't do this we can end up in a n^2 mode
+        # when we wait on the same Deferred N times, then try and merge the
+        # same dict into itself N times).
+        already_fetching_ids: Set[str] = set()
+        already_fetching_deferreds: Set[
+            ObservableDeferred[Dict[str, _EventCacheEntry]]
+        ] = set()
 
         for event_id in missing_events_ids:
             deferred = self._current_event_fetches.get(event_id)
             if deferred is not None:
                 # We're already pulling the event out of the DB. Add the deferred
                 # to the collection of deferreds to wait on.
-                already_fetching[event_id] = deferred.observe()
+                already_fetching_ids.add(event_id)
+                already_fetching_deferreds.add(deferred)
 
-        missing_events_ids.difference_update(already_fetching)
+        missing_events_ids.difference_update(already_fetching_ids)
 
         if missing_events_ids:
             log_ctx = current_context()
@@ -569,18 +579,25 @@ class EventsWorkerStore(SQLBaseStore):
             with PreserveLoggingContext():
                 fetching_deferred.callback(missing_events)
 
-        if already_fetching:
+        if already_fetching_deferreds:
             # Wait for the other event requests to finish and add their results
             # to ours.
             results = await make_deferred_yieldable(
                 defer.gatherResults(
-                    already_fetching.values(),
+                    (d.observe() for d in already_fetching_deferreds),
                     consumeErrors=True,
                 )
             ).addErrback(unwrapFirstError)
 
             for result in results:
-                event_entry_map.update(result)
+                # We filter out events that we haven't asked for as we might get
+                # a *lot* of superfluous events back, and there is no point
+                # going through and inserting them all (which can take time).
+                event_entry_map.update(
+                    (event_id, entry)
+                    for event_id, entry in result.items()
+                    if event_id in already_fetching_ids
+                )
 
         if not allow_rejected:
             event_entry_map = {
diff --git a/synapse/storage/databases/main/purge_events.py b/synapse/storage/databases/main/purge_events.py
index 664c65dac5..bccff5e5b9 100644
--- a/synapse/storage/databases/main/purge_events.py
+++ b/synapse/storage/databases/main/purge_events.py
@@ -295,6 +295,7 @@ class PurgeEventsStore(StateGroupWorkerStore, CacheInvalidationWorkerStore):
                 self._invalidate_cache_and_stream(
                     txn, self.have_seen_event, (room_id, event_id)
                 )
+                self._invalidate_get_event_cache(event_id)
 
         logger.info("[purge] done")
 
diff --git a/synapse/storage/databases/main/pusher.py b/synapse/storage/databases/main/pusher.py
index b48fe086d4..e47caa2125 100644
--- a/synapse/storage/databases/main/pusher.py
+++ b/synapse/storage/databases/main/pusher.py
@@ -48,6 +48,11 @@ class PusherWorkerStore(SQLBaseStore):
             self._remove_stale_pushers,
         )
 
+        self.db_pool.updates.register_background_update_handler(
+            "remove_deleted_email_pushers",
+            self._remove_deleted_email_pushers,
+        )
+
     def _decode_pushers_rows(self, rows: Iterable[dict]) -> Iterator[PusherConfig]:
         """JSON-decode the data in the rows returned from the `pushers` table
 
@@ -388,6 +393,73 @@ class PusherWorkerStore(SQLBaseStore):
 
         return number_deleted
 
+    async def _remove_deleted_email_pushers(
+        self, progress: dict, batch_size: int
+    ) -> int:
+        """A background update that deletes all pushers for deleted email addresses.
+
+        In previous versions of synapse, when users deleted their email address, it didn't
+        also delete all the pushers for that email address. This background update removes
+        those to prevent unwanted emails. This should only need to be run once (when users
+        upgrade to v1.42.0
+
+        Args:
+            progress: dict used to store progress of this background update
+            batch_size: the maximum number of rows to retrieve in a single select query
+
+        Returns:
+            The number of deleted rows
+        """
+
+        last_pusher = progress.get("last_pusher", 0)
+
+        def _delete_pushers(txn) -> int:
+
+            sql = """
+                SELECT p.id, p.user_name, p.app_id, p.pushkey
+                FROM pushers AS p
+                    LEFT JOIN user_threepids AS t
+                        ON t.user_id = p.user_name
+                        AND t.medium = 'email'
+                        AND t.address = p.pushkey
+                WHERE t.user_id is NULL
+                    AND p.app_id = 'm.email'
+                    AND p.id > ?
+                ORDER BY p.id ASC
+                LIMIT ?
+            """
+
+            txn.execute(sql, (last_pusher, batch_size))
+
+            last = None
+            num_deleted = 0
+            for row in txn:
+                last = row[0]
+                num_deleted += 1
+                self.db_pool.simple_delete_txn(
+                    txn,
+                    "pushers",
+                    {"user_name": row[1], "app_id": row[2], "pushkey": row[3]},
+                )
+
+            if last is not None:
+                self.db_pool.updates._background_update_progress_txn(
+                    txn, "remove_deleted_email_pushers", {"last_pusher": last}
+                )
+
+            return num_deleted
+
+        number_deleted = await self.db_pool.runInteraction(
+            "_remove_deleted_email_pushers", _delete_pushers
+        )
+
+        if number_deleted < batch_size:
+            await self.db_pool.updates._end_background_update(
+                "remove_deleted_email_pushers"
+            )
+
+        return number_deleted
+
 
 class PusherStore(PusherWorkerStore):
     def get_pushers_stream_token(self) -> int:
diff --git a/synapse/storage/databases/main/registration.py b/synapse/storage/databases/main/registration.py
index c67bea81c6..a6517962f6 100644
--- a/synapse/storage/databases/main/registration.py
+++ b/synapse/storage/databases/main/registration.py
@@ -754,16 +754,18 @@ class RegistrationWorkerStore(CacheInvalidationWorkerStore):
         )
         return user_id
 
-    def get_user_id_by_threepid_txn(self, txn, medium, address):
+    def get_user_id_by_threepid_txn(
+        self, txn, medium: str, address: str
+    ) -> Optional[str]:
         """Returns user id from threepid
 
         Args:
             txn (cursor):
-            medium (str): threepid medium e.g. email
-            address (str): threepid address e.g. me@example.com
+            medium: threepid medium e.g. email
+            address: threepid address e.g. me@example.com
 
         Returns:
-            str|None: user id or None if no user id/threepid mapping exists
+            user id, or None if no user id/threepid mapping exists
         """
         ret = self.db_pool.simple_select_one_txn(
             txn,
@@ -776,14 +778,21 @@ class RegistrationWorkerStore(CacheInvalidationWorkerStore):
             return ret["user_id"]
         return None
 
-    async def user_add_threepid(self, user_id, medium, address, validated_at, added_at):
+    async def user_add_threepid(
+        self,
+        user_id: str,
+        medium: str,
+        address: str,
+        validated_at: int,
+        added_at: int,
+    ) -> None:
         await self.db_pool.simple_upsert(
             "user_threepids",
             {"medium": medium, "address": address},
             {"user_id": user_id, "validated_at": validated_at, "added_at": added_at},
         )
 
-    async def user_get_threepids(self, user_id):
+    async def user_get_threepids(self, user_id) -> List[Dict[str, Any]]:
         return await self.db_pool.simple_select_list(
             "user_threepids",
             {"user_id": user_id},
@@ -791,7 +800,9 @@ class RegistrationWorkerStore(CacheInvalidationWorkerStore):
             "user_get_threepids",
         )
 
-    async def user_delete_threepid(self, user_id, medium, address) -> None:
+    async def user_delete_threepid(
+        self, user_id: str, medium: str, address: str
+    ) -> None:
         await self.db_pool.simple_delete(
             "user_threepids",
             keyvalues={"user_id": user_id, "medium": medium, "address": address},
@@ -1157,6 +1168,322 @@ class RegistrationWorkerStore(CacheInvalidationWorkerStore):
             desc="update_access_token_last_validated",
         )
 
+    async def registration_token_is_valid(self, token: str) -> bool:
+        """Checks if a token can be used to authenticate a registration.
+
+        Args:
+            token: The registration token to be checked
+        Returns:
+            True if the token is valid, False otherwise.
+        """
+        res = await self.db_pool.simple_select_one(
+            "registration_tokens",
+            keyvalues={"token": token},
+            retcols=["uses_allowed", "pending", "completed", "expiry_time"],
+            allow_none=True,
+        )
+
+        # Check if the token exists
+        if res is None:
+            return False
+
+        # Check if the token has expired
+        now = self._clock.time_msec()
+        if res["expiry_time"] and res["expiry_time"] < now:
+            return False
+
+        # Check if the token has been used up
+        if (
+            res["uses_allowed"]
+            and res["pending"] + res["completed"] >= res["uses_allowed"]
+        ):
+            return False
+
+        # Otherwise, the token is valid
+        return True
+
+    async def set_registration_token_pending(self, token: str) -> None:
+        """Increment the pending registrations counter for a token.
+
+        Args:
+            token: The registration token pending use
+        """
+
+        def _set_registration_token_pending_txn(txn):
+            pending = self.db_pool.simple_select_one_onecol_txn(
+                txn,
+                "registration_tokens",
+                keyvalues={"token": token},
+                retcol="pending",
+            )
+            self.db_pool.simple_update_one_txn(
+                txn,
+                "registration_tokens",
+                keyvalues={"token": token},
+                updatevalues={"pending": pending + 1},
+            )
+
+        return await self.db_pool.runInteraction(
+            "set_registration_token_pending", _set_registration_token_pending_txn
+        )
+
+    async def use_registration_token(self, token: str) -> None:
+        """Complete a use of the given registration token.
+
+        The `pending` counter will be decremented, and the `completed`
+        counter will be incremented.
+
+        Args:
+            token: The registration token to be 'used'
+        """
+
+        def _use_registration_token_txn(txn):
+            # Normally, res is Optional[Dict[str, Any]].
+            # Override type because the return type is only optional if
+            # allow_none is True, and we don't want mypy throwing errors
+            # about None not being indexable.
+            res: Dict[str, Any] = self.db_pool.simple_select_one_txn(
+                txn,
+                "registration_tokens",
+                keyvalues={"token": token},
+                retcols=["pending", "completed"],
+            )  # type: ignore
+
+            # Decrement pending and increment completed
+            self.db_pool.simple_update_one_txn(
+                txn,
+                "registration_tokens",
+                keyvalues={"token": token},
+                updatevalues={
+                    "completed": res["completed"] + 1,
+                    "pending": res["pending"] - 1,
+                },
+            )
+
+        return await self.db_pool.runInteraction(
+            "use_registration_token", _use_registration_token_txn
+        )
+
+    async def get_registration_tokens(
+        self, valid: Optional[bool] = None
+    ) -> List[Dict[str, Any]]:
+        """List all registration tokens. Used by the admin API.
+
+        Args:
+            valid: If True, only valid tokens are returned.
+              If False, only invalid tokens are returned.
+              Default is None: return all tokens regardless of validity.
+
+        Returns:
+            A list of dicts, each containing details of a token.
+        """
+
+        def select_registration_tokens_txn(txn, now: int, valid: Optional[bool]):
+            if valid is None:
+                # Return all tokens regardless of validity
+                txn.execute("SELECT * FROM registration_tokens")
+
+            elif valid:
+                # Select valid tokens only
+                sql = (
+                    "SELECT * FROM registration_tokens WHERE "
+                    "(uses_allowed > pending + completed OR uses_allowed IS NULL) "
+                    "AND (expiry_time > ? OR expiry_time IS NULL)"
+                )
+                txn.execute(sql, [now])
+
+            else:
+                # Select invalid tokens only
+                sql = (
+                    "SELECT * FROM registration_tokens WHERE "
+                    "uses_allowed <= pending + completed OR expiry_time <= ?"
+                )
+                txn.execute(sql, [now])
+
+            return self.db_pool.cursor_to_dict(txn)
+
+        return await self.db_pool.runInteraction(
+            "select_registration_tokens",
+            select_registration_tokens_txn,
+            self._clock.time_msec(),
+            valid,
+        )
+
+    async def get_one_registration_token(self, token: str) -> Optional[Dict[str, Any]]:
+        """Get info about the given registration token. Used by the admin API.
+
+        Args:
+            token: The token to retrieve information about.
+
+        Returns:
+            A dict, or None if token doesn't exist.
+        """
+        return await self.db_pool.simple_select_one(
+            "registration_tokens",
+            keyvalues={"token": token},
+            retcols=["token", "uses_allowed", "pending", "completed", "expiry_time"],
+            allow_none=True,
+            desc="get_one_registration_token",
+        )
+
+    async def generate_registration_token(
+        self, length: int, chars: str
+    ) -> Optional[str]:
+        """Generate a random registration token. Used by the admin API.
+
+        Args:
+            length: The length of the token to generate.
+            chars: A string of the characters allowed in the generated token.
+
+        Returns:
+            The generated token.
+
+        Raises:
+            SynapseError if a unique registration token could still not be
+            generated after a few tries.
+        """
+        # Make a few attempts at generating a unique token of the required
+        # length before failing.
+        for _i in range(3):
+            # Generate token
+            token = "".join(random.choices(chars, k=length))
+
+            # Check if the token already exists
+            existing_token = await self.db_pool.simple_select_one_onecol(
+                "registration_tokens",
+                keyvalues={"token": token},
+                retcol="token",
+                allow_none=True,
+                desc="check_if_registration_token_exists",
+            )
+
+            if existing_token is None:
+                # The generated token doesn't exist yet, return it
+                return token
+
+        raise SynapseError(
+            500,
+            "Unable to generate a unique registration token. Try again with a greater length",
+            Codes.UNKNOWN,
+        )
+
+    async def create_registration_token(
+        self, token: str, uses_allowed: Optional[int], expiry_time: Optional[int]
+    ) -> bool:
+        """Create a new registration token. Used by the admin API.
+
+        Args:
+            token: The token to create.
+            uses_allowed: The number of times the token can be used to complete
+              a registration before it becomes invalid. A value of None indicates
+              unlimited uses.
+            expiry_time: The latest time the token is valid. Given as the
+              number of milliseconds since 1970-01-01 00:00:00 UTC. A value of
+              None indicates that the token does not expire.
+
+        Returns:
+            Whether the row was inserted or not.
+        """
+
+        def _create_registration_token_txn(txn):
+            row = self.db_pool.simple_select_one_txn(
+                txn,
+                "registration_tokens",
+                keyvalues={"token": token},
+                retcols=["token"],
+                allow_none=True,
+            )
+
+            if row is not None:
+                # Token already exists
+                return False
+
+            self.db_pool.simple_insert_txn(
+                txn,
+                "registration_tokens",
+                values={
+                    "token": token,
+                    "uses_allowed": uses_allowed,
+                    "pending": 0,
+                    "completed": 0,
+                    "expiry_time": expiry_time,
+                },
+            )
+
+            return True
+
+        return await self.db_pool.runInteraction(
+            "create_registration_token", _create_registration_token_txn
+        )
+
+    async def update_registration_token(
+        self, token: str, updatevalues: Dict[str, Optional[int]]
+    ) -> Optional[Dict[str, Any]]:
+        """Update a registration token. Used by the admin API.
+
+        Args:
+            token: The token to update.
+            updatevalues: A dict with the fields to update. E.g.:
+              `{"uses_allowed": 3}` to update just uses_allowed, or
+              `{"uses_allowed": 3, "expiry_time": None}` to update both.
+              This is passed straight to simple_update_one.
+
+        Returns:
+            A dict with all info about the token, or None if token doesn't exist.
+        """
+
+        def _update_registration_token_txn(txn):
+            try:
+                self.db_pool.simple_update_one_txn(
+                    txn,
+                    "registration_tokens",
+                    keyvalues={"token": token},
+                    updatevalues=updatevalues,
+                )
+            except StoreError:
+                # Update failed because token does not exist
+                return None
+
+            # Get all info about the token so it can be sent in the response
+            return self.db_pool.simple_select_one_txn(
+                txn,
+                "registration_tokens",
+                keyvalues={"token": token},
+                retcols=[
+                    "token",
+                    "uses_allowed",
+                    "pending",
+                    "completed",
+                    "expiry_time",
+                ],
+                allow_none=True,
+            )
+
+        return await self.db_pool.runInteraction(
+            "update_registration_token", _update_registration_token_txn
+        )
+
+    async def delete_registration_token(self, token: str) -> bool:
+        """Delete a registration token. Used by the admin API.
+
+        Args:
+            token: The token to delete.
+
+        Returns:
+            Whether the token was successfully deleted or not.
+        """
+        try:
+            await self.db_pool.simple_delete_one(
+                "registration_tokens",
+                keyvalues={"token": token},
+                desc="delete_registration_token",
+            )
+        except StoreError:
+            # Deletion failed because token does not exist
+            return False
+
+        return True
+
     @cached()
     async def mark_access_token_as_used(self, token_id: int) -> None:
         """
diff --git a/synapse/storage/databases/main/roommember.py b/synapse/storage/databases/main/roommember.py
index e8157ba3d4..c58a4b8690 100644
--- a/synapse/storage/databases/main/roommember.py
+++ b/synapse/storage/databases/main/roommember.py
@@ -307,7 +307,9 @@ class RoomMemberWorkerStore(EventsWorkerStore):
         )
 
     @cached()
-    async def get_invited_rooms_for_local_user(self, user_id: str) -> RoomsForUser:
+    async def get_invited_rooms_for_local_user(
+        self, user_id: str
+    ) -> List[RoomsForUser]:
         """Get all the rooms the *local* user is invited to.
 
         Args:
@@ -384,9 +386,10 @@ class RoomMemberWorkerStore(EventsWorkerStore):
         )
 
         sql = """
-            SELECT room_id, e.sender, c.membership, event_id, e.stream_ordering
+            SELECT room_id, e.sender, c.membership, event_id, e.stream_ordering, r.room_version
             FROM local_current_membership AS c
             INNER JOIN events AS e USING (room_id, event_id)
+            INNER JOIN rooms AS r USING (room_id)
             WHERE
                 user_id = ?
                 AND %s
@@ -395,7 +398,7 @@ class RoomMemberWorkerStore(EventsWorkerStore):
         )
 
         txn.execute(sql, (user_id, *args))
-        results = [RoomsForUser(**r) for r in self.db_pool.cursor_to_dict(txn)]
+        results = [RoomsForUser(*r) for r in txn]
 
         return results
 
@@ -445,7 +448,8 @@ class RoomMemberWorkerStore(EventsWorkerStore):
 
         Returns:
             Returns the rooms the user is in currently, along with the stream
-            ordering of the most recent join for that user and room.
+            ordering of the most recent join for that user and room, along with
+            the room version of the room.
         """
         return await self.db_pool.runInteraction(
             "get_rooms_for_user_with_stream_ordering",
@@ -522,7 +526,9 @@ class RoomMemberWorkerStore(EventsWorkerStore):
             _get_users_server_still_shares_room_with_txn,
         )
 
-    async def get_rooms_for_user(self, user_id: str, on_invalidate=None):
+    async def get_rooms_for_user(
+        self, user_id: str, on_invalidate=None
+    ) -> FrozenSet[str]:
         """Returns a set of room_ids the user is currently joined to.
 
         If a remote user only returns rooms this server is currently
diff --git a/synapse/storage/databases/main/session.py b/synapse/storage/databases/main/session.py
new file mode 100644
index 0000000000..172f27d109
--- /dev/null
+++ b/synapse/storage/databases/main/session.py
@@ -0,0 +1,145 @@
+# -*- coding: utf-8 -*-
+#  Copyright 2021 The Matrix.org Foundation C.I.C.
+#
+#  Licensed under the Apache License, Version 2.0 (the "License");
+#  you may not use this file except in compliance with the License.
+#  You may obtain a copy of the License at
+#
+#      http://www.apache.org/licenses/LICENSE-2.0
+#
+#  Unless required by applicable law or agreed to in writing, software
+#  distributed under the License is distributed on an "AS IS" BASIS,
+#  WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+#  See the License for the specific language governing permissions and
+#  limitations under the License.
+from typing import TYPE_CHECKING
+
+import synapse.util.stringutils as stringutils
+from synapse.api.errors import StoreError
+from synapse.metrics.background_process_metrics import wrap_as_background_process
+from synapse.storage._base import SQLBaseStore, db_to_json
+from synapse.storage.database import (
+    DatabasePool,
+    LoggingDatabaseConnection,
+    LoggingTransaction,
+)
+from synapse.types import JsonDict
+from synapse.util import json_encoder
+
+if TYPE_CHECKING:
+    from synapse.server import HomeServer
+
+
+class SessionStore(SQLBaseStore):
+    """
+    A store for generic session data.
+
+    Each type of session should provide a unique type (to separate sessions).
+
+    Sessions are automatically removed when they expire.
+    """
+
+    def __init__(
+        self,
+        database: DatabasePool,
+        db_conn: LoggingDatabaseConnection,
+        hs: "HomeServer",
+    ):
+        super().__init__(database, db_conn, hs)
+
+        # Create a background job for culling expired sessions.
+        if hs.config.run_background_tasks:
+            self._clock.looping_call(self._delete_expired_sessions, 30 * 60 * 1000)
+
+    async def create_session(
+        self, session_type: str, value: JsonDict, expiry_ms: int
+    ) -> str:
+        """
+        Creates a new pagination session for the room hierarchy endpoint.
+
+        Args:
+            session_type: The type for this session.
+            value: The value to store.
+            expiry_ms: How long before an item is evicted from the cache
+                in milliseconds. Default is 0, indicating items never get
+                evicted based on time.
+
+        Returns:
+            The newly created session ID.
+
+        Raises:
+            StoreError if a unique session ID cannot be generated.
+        """
+        # autogen a session ID and try to create it. We may clash, so just
+        # try a few times till one goes through, giving up eventually.
+        attempts = 0
+        while attempts < 5:
+            session_id = stringutils.random_string(24)
+
+            try:
+                await self.db_pool.simple_insert(
+                    table="sessions",
+                    values={
+                        "session_id": session_id,
+                        "session_type": session_type,
+                        "value": json_encoder.encode(value),
+                        "expiry_time_ms": self.hs.get_clock().time_msec() + expiry_ms,
+                    },
+                    desc="create_session",
+                )
+
+                return session_id
+            except self.db_pool.engine.module.IntegrityError:
+                attempts += 1
+        raise StoreError(500, "Couldn't generate a session ID.")
+
+    async def get_session(self, session_type: str, session_id: str) -> JsonDict:
+        """
+        Retrieve data stored with create_session
+
+        Args:
+            session_type: The type for this session.
+            session_id: The session ID returned from create_session.
+
+        Raises:
+            StoreError if the session cannot be found.
+        """
+
+        def _get_session(
+            txn: LoggingTransaction, session_type: str, session_id: str, ts: int
+        ) -> JsonDict:
+            # This includes the expiry time since items are only periodically
+            # deleted, not upon expiry.
+            select_sql = """
+            SELECT value FROM sessions WHERE
+            session_type = ? AND session_id = ? AND expiry_time_ms > ?
+            """
+            txn.execute(select_sql, [session_type, session_id, ts])
+            row = txn.fetchone()
+
+            if not row:
+                raise StoreError(404, "No session")
+
+            return db_to_json(row[0])
+
+        return await self.db_pool.runInteraction(
+            "get_session",
+            _get_session,
+            session_type,
+            session_id,
+            self._clock.time_msec(),
+        )
+
+    @wrap_as_background_process("delete_expired_sessions")
+    async def _delete_expired_sessions(self) -> None:
+        """Remove sessions with expiry dates that have passed."""
+
+        def _delete_expired_sessions_txn(txn: LoggingTransaction, ts: int) -> None:
+            sql = "DELETE FROM sessions WHERE expiry_time_ms <= ?"
+            txn.execute(sql, (ts,))
+
+        await self.db_pool.runInteraction(
+            "delete_expired_sessions",
+            _delete_expired_sessions_txn,
+            self._clock.time_msec(),
+        )
diff --git a/synapse/storage/databases/main/ui_auth.py b/synapse/storage/databases/main/ui_auth.py
index 38bfdf5dad..4d6bbc94c7 100644
--- a/synapse/storage/databases/main/ui_auth.py
+++ b/synapse/storage/databases/main/ui_auth.py
@@ -15,6 +15,7 @@ from typing import Any, Dict, List, Optional, Tuple, Union
 
 import attr
 
+from synapse.api.constants import LoginType
 from synapse.api.errors import StoreError
 from synapse.storage._base import SQLBaseStore, db_to_json
 from synapse.storage.database import LoggingTransaction
@@ -329,6 +330,48 @@ class UIAuthWorkerStore(SQLBaseStore):
             keyvalues={},
         )
 
+        # If a registration token was used, decrement the pending counter
+        # before deleting the session.
+        rows = self.db_pool.simple_select_many_txn(
+            txn,
+            table="ui_auth_sessions_credentials",
+            column="session_id",
+            iterable=session_ids,
+            keyvalues={"stage_type": LoginType.REGISTRATION_TOKEN},
+            retcols=["result"],
+        )
+
+        # Get the tokens used and how much pending needs to be decremented by.
+        token_counts: Dict[str, int] = {}
+        for r in rows:
+            # If registration was successfully completed, the result of the
+            # registration token stage for that session will be True.
+            # If a token was used to authenticate, but registration was
+            # never completed, the result will be the token used.
+            token = db_to_json(r["result"])
+            if isinstance(token, str):
+                token_counts[token] = token_counts.get(token, 0) + 1
+
+        # Update the `pending` counters.
+        if len(token_counts) > 0:
+            token_rows = self.db_pool.simple_select_many_txn(
+                txn,
+                table="registration_tokens",
+                column="token",
+                iterable=list(token_counts.keys()),
+                keyvalues={},
+                retcols=["token", "pending"],
+            )
+            for token_row in token_rows:
+                token = token_row["token"]
+                new_pending = token_row["pending"] - token_counts[token]
+                self.db_pool.simple_update_one_txn(
+                    txn,
+                    table="registration_tokens",
+                    keyvalues={"token": token},
+                    updatevalues={"pending": new_pending},
+                )
+
         # Delete the corresponding completed credentials.
         self.db_pool.simple_delete_many_txn(
             txn,
diff --git a/synapse/storage/databases/main/user_directory.py b/synapse/storage/databases/main/user_directory.py
index 9d28d69ac7..65dde67ae9 100644
--- a/synapse/storage/databases/main/user_directory.py
+++ b/synapse/storage/databases/main/user_directory.py
@@ -365,7 +365,7 @@ class UserDirectoryBackgroundUpdateStore(StateDeltasStore):
         return False
 
     async def update_profile_in_user_dir(
-        self, user_id: str, display_name: str, avatar_url: str
+        self, user_id: str, display_name: Optional[str], avatar_url: Optional[str]
     ) -> None:
         """
         Update or add a user's profile in the user directory.
diff --git a/synapse/storage/roommember.py b/synapse/storage/roommember.py
index c34fbf21bc..2500381b7b 100644
--- a/synapse/storage/roommember.py
+++ b/synapse/storage/roommember.py
@@ -14,25 +14,41 @@
 # limitations under the License.
 
 import logging
-from collections import namedtuple
+from typing import List, Optional, Tuple
+
+import attr
+
+from synapse.types import PersistedEventPosition
 
 logger = logging.getLogger(__name__)
 
 
-RoomsForUser = namedtuple(
-    "RoomsForUser", ("room_id", "sender", "membership", "event_id", "stream_ordering")
-)
+@attr.s(slots=True, frozen=True, weakref_slot=False, auto_attribs=True)
+class RoomsForUser:
+    room_id: str
+    sender: str
+    membership: str
+    event_id: str
+    stream_ordering: int
+    room_version_id: str
+
+
+@attr.s(slots=True, frozen=True, weakref_slot=False, auto_attribs=True)
+class GetRoomsForUserWithStreamOrdering:
+    room_id: str
+    event_pos: PersistedEventPosition
 
-GetRoomsForUserWithStreamOrdering = namedtuple(
-    "GetRoomsForUserWithStreamOrdering", ("room_id", "event_pos")
-)
 
+@attr.s(slots=True, frozen=True, weakref_slot=False, auto_attribs=True)
+class ProfileInfo:
+    avatar_url: Optional[str]
+    display_name: Optional[str]
 
-# We store this using a namedtuple so that we save about 3x space over using a
-# dict.
-ProfileInfo = namedtuple("ProfileInfo", ("avatar_url", "display_name"))
 
-# "members" points to a truncated list of (user_id, event_id) tuples for users of
-# a given membership type, suitable for use in calculating heroes for a room.
-# "count" points to the total numberr of users of a given membership type.
-MemberSummary = namedtuple("MemberSummary", ("members", "count"))
+@attr.s(slots=True, frozen=True, weakref_slot=False, auto_attribs=True)
+class MemberSummary:
+    # A truncated list of (user_id, event_id) tuples for users of a given
+    # membership type, suitable for use in calculating heroes for a room.
+    members: List[Tuple[str, str]]
+    # The total number of users of a given membership type.
+    count: int
diff --git a/synapse/storage/schema/__init__.py b/synapse/storage/schema/__init__.py
index a5bc0ee8a5..af9cc69949 100644
--- a/synapse/storage/schema/__init__.py
+++ b/synapse/storage/schema/__init__.py
@@ -12,6 +12,8 @@
 # See the License for the specific language governing permissions and
 # limitations under the License.
 
+# When updating these values, please leave a short summary of the changes below.
+
 SCHEMA_VERSION = 63
 """Represents the expectations made by the codebase about the database schema
 
diff --git a/synapse/storage/schema/main/delta/62/02session_store.sql b/synapse/storage/schema/main/delta/62/02session_store.sql
new file mode 100644
index 0000000000..535fb34c10
--- /dev/null
+++ b/synapse/storage/schema/main/delta/62/02session_store.sql
@@ -0,0 +1,23 @@
+/*
+ * Copyright 2021 The Matrix.org Foundation C.I.C.
+ *
+ * Licensed under the Apache License, Version 2.0 (the "License");
+ * you may not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ *     http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an "AS IS" BASIS,
+ * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+CREATE TABLE IF NOT EXISTS sessions(
+    session_type TEXT NOT NULL,  -- The unique key for this type of session.
+    session_id TEXT NOT NULL,  -- The session ID passed to the client.
+    value TEXT NOT NULL, -- A JSON dictionary to persist.
+    expiry_time_ms BIGINT NOT NULL,  -- The time this session will expire (epoch time in milliseconds).
+    UNIQUE (session_type, session_id)
+);
diff --git a/synapse/storage/schema/main/delta/63/01create_registration_tokens.sql b/synapse/storage/schema/main/delta/63/01create_registration_tokens.sql
new file mode 100644
index 0000000000..ee6cf958f4
--- /dev/null
+++ b/synapse/storage/schema/main/delta/63/01create_registration_tokens.sql
@@ -0,0 +1,23 @@
+/* Copyright 2021 Callum Brown
+ *
+ * Licensed under the Apache License, Version 2.0 (the "License");
+ * you may not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ *    http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an "AS IS" BASIS,
+ * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+CREATE TABLE IF NOT EXISTS registration_tokens(
+    token TEXT NOT NULL,  -- The token that can be used for authentication.
+    uses_allowed INT,  -- The total number of times this token can be used. NULL if no limit.
+    pending INT NOT NULL, -- The number of in progress registrations using this token.
+    completed INT NOT NULL, -- The number of times this token has been used to complete a registration.
+    expiry_time BIGINT,  -- The latest time this token will be valid (epoch time in milliseconds). NULL if token doesn't expire.
+    UNIQUE (token)
+);
diff --git a/synapse/storage/schema/main/delta/63/02delete_unlinked_email_pushers.sql b/synapse/storage/schema/main/delta/63/02delete_unlinked_email_pushers.sql
new file mode 100644
index 0000000000..611c4b95cf
--- /dev/null
+++ b/synapse/storage/schema/main/delta/63/02delete_unlinked_email_pushers.sql
@@ -0,0 +1,20 @@
+/* Copyright 2021 The Matrix.org Foundation C.I.C
+ *
+ * Licensed under the Apache License, Version 2.0 (the "License");
+ * you may not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ *    http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an "AS IS" BASIS,
+ * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+
+-- We may not have deleted all pushers for emails that are no longer linked
+-- to an account, so we set up a background job to delete them.
+INSERT INTO background_updates (ordering, update_name, progress_json) VALUES
+  (6302, 'remove_deleted_email_pushers', '{}');