diff --git a/.github/workflows/wheels.yml b/.github/workflows/wheels.yml
index 4db25ab5..4cff47c4 100644
--- a/.github/workflows/wheels.yml
+++ b/.github/workflows/wheels.yml
@@ -69,16 +69,16 @@ jobs:
           boost_install_dir: ${{ matrix.boost_install_dir }}
 
       - name: Build wheels
-        uses: pypa/cibuildwheel@v2.9.0
+        uses: pypa/cibuildwheel@v2.18.1
         env:
           # Specify which Python versions to build wheels
           # https://cibuildwheel.readthedocs.io/en/stable/options/#build-skip
           CIBW_BUILD: "cp38-* cp39-* cp310-* cp311-*"
           # Skip 32 bit architectures, musllinux, and i686, and macOS x86_64 wheels for CP3.8 -- CP3.11
           CIBW_SKIP: "*-win32 *-musllinux_x86_64 *_i686 cp38-macosx_x86_64 cp39-macosx_x86_64 cp310-macosx_x86_64 cp311-macosx_x86_64"
-          CIBW_BEFORE_BUILD_WINDOWS: python -m pip install cmake && python -m pip install --upgrade pip setuptools && sed -i $'s/\r$//' README.rst && python -m pip install delvewheel
-          CIBW_BEFORE_BUILD_LINUX: python -m pip install cmake && python -m pip install --upgrade pip setuptools
-          CIBW_BEFORE_BUILD_MACOS: python -m pip install cmake && python -m pip install --upgrade pip setuptools
+          CIBW_BEFORE_BUILD_WINDOWS: python -m pip install --upgrade pip setuptools && sed -i $'s/\r$//' README.rst && python -m pip install delvewheel
+          CIBW_BEFORE_BUILD_LINUX: python -m pip install --upgrade pip setuptools
+          CIBW_BEFORE_BUILD_MACOS: python -m pip install --upgrade pip setuptools
           CIBW_TEST_COMMAND: python -m pytest --pyargs gtda
           # nbformat is needed by plotly: https://github.com/plotly/plotly.py/issues/2159
           CIBW_TEST_REQUIRES: pytest hypothesis pandas nbformat
@@ -91,7 +91,15 @@ jobs:
           # Should generate universal2 wheels for CP3.8 -- CP3.11
           CIBW_ARCHS_MACOS: x86_64 universal2
 
-      - uses: actions/upload-artifact@v2
-        name: Upload wheels
+      - name: Set-up python 3.10 for upload
+        uses: actions/setup-python@v5
         with:
-          path: ./wheelhouse/*.whl
+          python-version: "3.10"
+      - name: Publish
+        env:
+          TWINE_USERNAME: ${{ secrets.PYPI_USERNAME }}
+          TWINE_PASSWORD: ${{ secrets.PYPI_PASSWORD }}
+        run: |
+          pip install twine
+          twine check ./wheelhouse/*.whl
+          twine upload --skip-existing ./wheelhouse/*.whl