diff --git a/README.rst b/README.rst
index bf4633929367cf1bca91d51bcd50f12860430f87..4e3d0430ab2cad583e0f9d5dd0c5a3c013680d96 100644
--- a/README.rst
+++ b/README.rst
@@ -18,23 +18,23 @@ and accurately.
 
 It relies on
 
-* `numpy <http://pypi.python.org/pypi/numpy>`_ for arrays
-* `modepy <http://pypi.python.org/pypi/modepy>`_ for modes and nodes on simplices
-* `meshmode <http://pypi.python.org/pypi/meshmode>`_ for modes and nodes on simplices
-* `loopy <http://pypi.python.org/pypi/loopy>`_ for fast array operations
-* `leap <http://pypi.python.org/pypi/leap>`_ for time integration
-* `dagrt <http://pypi.python.org/pypi/dagrt>`_ as an execution runtime
-* `pytest <http://pypi.python.org/pypi/pytest>`_ for automated testing
+* `numpy <http://pypi.org/project/numpy>`_ for arrays
+* `modepy <http://pypi.org/project/modepy>`_ for modes and nodes on simplices
+* `meshmode <http://pypi.org/project/meshmode>`_ for modes and nodes on simplices
+* `loopy <http://pypi.org/project/loopy>`_ for fast array operations
+* `leap <http://pypi.org/project/leap>`_ for time integration
+* `dagrt <http://pypi.org/project/dagrt>`_ as an execution runtime
+* `pytest <http://pypi.org/project/pytest>`_ for automated testing
 
 and, indirectly,
 
-* `PyOpenCL <http://pypi.python.org/pypi/pyopencl>`_ as computational infrastructure
+* `PyOpenCL <http://pypi.org/project/pyopencl>`_ as computational infrastructure
 
 PyOpenCL is likely the only package you'll have to install
 by hand, all the others will be installed automatically.
 
 .. image:: https://badge.fury.io/py/grudge.png
-    :target: http://pypi.python.org/pypi/grudge
+    :target: http://pypi..org/project/grudge
 
 Resources:
 
diff --git a/doc/conf.py b/doc/conf.py
index 1b1cb89eb3abdf59de9093124c4a8bdc5ca4e67e..ac50671e36f9f3ead973986199cd8c458db9e9b1 100644
--- a/doc/conf.py
+++ b/doc/conf.py
@@ -127,7 +127,7 @@ html_theme = "alabaster"
 html_theme_options = {
         "extra_nav_links": {
             "🚀 Github": "https://github.com/inducer/grudge",
-            "💾 Download Releases": "https://pypi.python.org/pypi/grudge",
+            "💾 Download Releases": "https://pypi.org/project/grudge",
             }
         }