diff --git a/.github/workflows/ci.yaml b/.github/workflows/ci.yaml
index 3d8bc6e2a..07d95a18e 100644
--- a/.github/workflows/ci.yaml
+++ b/.github/workflows/ci.yaml
@@ -51,7 +51,7 @@ jobs:
     strategy:
       matrix:
         os: [ubuntu-latest]
-        python-version: ["3.9", "3.10", "3.11"]
+        python-version: ["3.9", "3.10", "3.11", "3.12", "3.13"]
     name: "Test SDK on py${{ matrix.python-version }} x ${{ matrix.os }} "
     runs-on: ${{ matrix.os }}
     steps:
@@ -78,7 +78,7 @@ jobs:
         options: --health-cmd "rabbitmq-diagnostics -q check_running && rabbitmq-diagnostics -q check_virtual_hosts && rabbitmq-diagnostics -q check_port_connectivity" --health-interval 10s --health-timeout 5s --health-retries 5
     strategy:
       matrix:
-        python-version: ["3.9", "3.10", "3.11"]
+        python-version: ["3.9", "3.10", "3.11", "3.12", "3.13"]
     name: "Test Endpoint on py${{ matrix.python-version }} x ${{ matrix.os }} "
     steps:
       - uses: actions/checkout@v4
diff --git a/changelog.d/20241111_160525_chris_new_pythons.rst b/changelog.d/20241111_160525_chris_new_pythons.rst
new file mode 100644
index 000000000..a312847b0
--- /dev/null
+++ b/changelog.d/20241111_160525_chris_new_pythons.rst
@@ -0,0 +1,5 @@
+New Functionality
+^^^^^^^^^^^^^^^^^
+
+- The ``globus-compute-sdk`` and ``globus-compute-endpoint`` packages now support
+  Python versions 3.12 and 3.13.
diff --git a/compute_endpoint/setup.py b/compute_endpoint/setup.py
index d452a1aa9..15861608d 100644
--- a/compute_endpoint/setup.py
+++ b/compute_endpoint/setup.py
@@ -7,8 +7,8 @@
     "requests>=2.31.0,<3",
     "globus-sdk",  # version will be bounded by `globus-compute-sdk`
     "globus-compute-sdk==2.30.1",
-    "globus-compute-common==0.4.1",
-    "globus-identity-mapping==0.3.0",
+    "globus-compute-common==0.5.0",
+    "globus-identity-mapping==0.4.0",
     # table printing used in list-endpoints
     "texttable>=1.6.4,<2",
     # although psutil does not declare itself to use semver, it appears to offer
diff --git a/compute_endpoint/tox.ini b/compute_endpoint/tox.ini
index 7fe2961e3..f19d2f558 100644
--- a/compute_endpoint/tox.ini
+++ b/compute_endpoint/tox.ini
@@ -1,5 +1,5 @@
 [tox]
-envlist = py{311,310,39}
+envlist = py{313,312,311,310,39}
 skip_missing_interpreters = true
 
 [testenv]
diff --git a/compute_sdk/globus_compute_sdk/serialize/concretes.py b/compute_sdk/globus_compute_sdk/serialize/concretes.py
index df06b8f6b..34fac9446 100644
--- a/compute_sdk/globus_compute_sdk/serialize/concretes.py
+++ b/compute_sdk/globus_compute_sdk/serialize/concretes.py
@@ -73,8 +73,9 @@ def serialize(self, data) -> str:
     def deserialize(self, payload: str):
         chomped = self.chomp(payload)
         name, body = dill.loads(codecs.decode(chomped.encode(), "base64"))
-        exec(body)
-        return locals()[name]
+        exec_ns: dict = {}
+        exec(body, exec_ns)
+        return exec_ns[name]
 
 
 class DillCodeTextInspect(SerializationStrategy):
@@ -102,8 +103,9 @@ def serialize(self, data) -> str:
     def deserialize(self, payload: str):
         chomped = self.chomp(payload)
         name, body = dill.loads(codecs.decode(chomped.encode(), "base64"))
-        exec(body)
-        return locals()[name]
+        exec_ns: dict = {}
+        exec(body, exec_ns)
+        return exec_ns[name]
 
 
 class PickleCode(SerializationStrategy):
diff --git a/compute_sdk/setup.py b/compute_sdk/setup.py
index 69083cd6a..a1ccc34b4 100644
--- a/compute_sdk/setup.py
+++ b/compute_sdk/setup.py
@@ -8,7 +8,7 @@
     # request sending and authorization tools
     "requests>=2.31.0,<3",
     "globus-sdk>=3.46.0,<4",
-    "globus-compute-common==0.4.1",
+    "globus-compute-common==0.5.0",
     # dill is an extension of `pickle` to a wider array of native python types
     # pin to the latest version, as 'dill' is not at 1.0 and does not have a clear
     # versioning and compatibility policy
diff --git a/compute_sdk/tox.ini b/compute_sdk/tox.ini
index fb5d6e8a8..49342d8f1 100644
--- a/compute_sdk/tox.ini
+++ b/compute_sdk/tox.ini
@@ -1,5 +1,5 @@
 [tox]
-envlist = py{311,310,39}
+envlist = py{313,312,311,310,39}
 skip_missing_interpreters = true
 
 [testenv]