diff --git a/changelog.d/9529.misc b/changelog.d/9529.misc
new file mode 100644
index 0000000000000000000000000000000000000000..b9021a26b406d62550a681121a73d917154a7869
--- /dev/null
+++ b/changelog.d/9529.misc
@@ -0,0 +1 @@
+Bump the versions of mypy and mypy-zope used for static type checking.
diff --git a/setup.py b/setup.py
index 08ba4eb764b7f9b62bf1301be734297ff07bdcb9..bbd9e7862a01217bee64969dd12f5ca5a842a2c4 100755
--- a/setup.py
+++ b/setup.py
@@ -102,7 +102,7 @@ CONDITIONAL_REQUIREMENTS["lint"] = [
     "flake8",
 ]
 
-CONDITIONAL_REQUIREMENTS["mypy"] = ["mypy==0.790", "mypy-zope==0.2.8"]
+CONDITIONAL_REQUIREMENTS["mypy"] = ["mypy==0.812", "mypy-zope==0.2.11"]
 
 # Dependencies which are exclusively required by unit test code. This is
 # NOT a list of all modules that are necessary to run the unit tests.
diff --git a/synapse/replication/tcp/streams/_base.py b/synapse/replication/tcp/streams/_base.py
index 38809b5b7c7cabd30114f9c6790d59648c7b7431..f45e7a8c891481143fbf045331622dc7255bdbf7 100644
--- a/synapse/replication/tcp/streams/_base.py
+++ b/synapse/replication/tcp/streams/_base.py
@@ -502,7 +502,7 @@ class AccountDataStream(Stream):
     """Global or per room account data was changed"""
 
     AccountDataStreamRow = namedtuple(
-        "AccountDataStream",
+        "AccountDataStreamRow",
         ("user_id", "room_id", "data_type"),  # str  # Optional[str]  # str
     )
 
diff --git a/synapse/storage/roommember.py b/synapse/storage/roommember.py
index f152f63321f48b305c225de9bc584e39fd2f8a17..d2ff4da6b9fea2f5806beb540c04bdec9e2442c0 100644
--- a/synapse/storage/roommember.py
+++ b/synapse/storage/roommember.py
@@ -25,7 +25,7 @@ RoomsForUser = namedtuple(
 )
 
 GetRoomsForUserWithStreamOrdering = namedtuple(
-    "_GetRoomsForUserWithStreamOrdering", ("room_id", "event_pos")
+    "GetRoomsForUserWithStreamOrdering", ("room_id", "event_pos")
 )