diff --git a/synapse/storage/schema/delta/56/drop_unused_event_tables.sql b/synapse/storage/schema/delta/56/drop_unused_event_tables.sql
new file mode 100644
index 0000000000..9f09922c67
--- /dev/null
+++ b/synapse/storage/schema/delta/56/drop_unused_event_tables.sql
@@ -0,0 +1,20 @@
+/* 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.
+ */
+
+-- these tables are never used.
+DROP TABLE IF EXISTS room_names;
+DROP TABLE IF EXISTS topics;
+DROP TABLE IF EXISTS history_visibility;
+DROP TABLE IF EXISTS guest_access;
diff --git a/synapse/storage/schema/delta/56/public_room_list_idx.sql b/synapse/storage/schema/delta/56/public_room_list_idx.sql
new file mode 100644
index 0000000000..7be31ffebb
--- /dev/null
+++ b/synapse/storage/schema/delta/56/public_room_list_idx.sql
@@ -0,0 +1,16 @@
+/* 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.
+ */
+
+CREATE INDEX public_room_list_stream_network ON public_room_list_stream (appservice_id, network_id, room_id);
diff --git a/synapse/storage/schema/delta/56/unique_user_filter_index.py b/synapse/storage/schema/delta/56/unique_user_filter_index.py
new file mode 100644
index 0000000000..1de8b54961
--- /dev/null
+++ b/synapse/storage/schema/delta/56/unique_user_filter_index.py
@@ -0,0 +1,52 @@
+import logging
+
+from synapse.storage.engines import PostgresEngine
+
+logger = logging.getLogger(__name__)
+
+
+"""
+This migration updates the user_filters table as follows:
+
+ - drops any (user_id, filter_id) duplicates
+ - makes the columns NON-NULLable
+ - turns the index into a UNIQUE index
+"""
+
+
+def run_upgrade(cur, database_engine, *args, **kwargs):
+ pass
+
+
+def run_create(cur, database_engine, *args, **kwargs):
+ if isinstance(database_engine, PostgresEngine):
+ select_clause = """
+ SELECT DISTINCT ON (user_id, filter_id) user_id, filter_id, filter_json
+ FROM user_filters
+ """
+ else:
+ select_clause = """
+ SELECT * FROM user_filters GROUP BY user_id, filter_id
+ """
+ sql = """
+ DROP TABLE IF EXISTS user_filters_migration;
+ DROP INDEX IF EXISTS user_filters_unique;
+ CREATE TABLE user_filters_migration (
+ user_id TEXT NOT NULL,
+ filter_id BIGINT NOT NULL,
+ filter_json BYTEA NOT NULL
+ );
+ INSERT INTO user_filters_migration (user_id, filter_id, filter_json)
+ %s;
+ CREATE UNIQUE INDEX user_filters_unique ON user_filters_migration
+ (user_id, filter_id);
+ DROP TABLE user_filters;
+ ALTER TABLE user_filters_migration RENAME TO user_filters;
+ """ % (
+ select_clause,
+ )
+
+ if isinstance(database_engine, PostgresEngine):
+ cur.execute(sql)
+ else:
+ cur.executescript(sql)
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