diff --git a/condabuild/meta.yaml b/condabuild/meta.yaml
index 826fb1d79..d1415f7eb 100644
--- a/condabuild/meta.yaml
+++ b/condabuild/meta.yaml
@@ -16,13 +16,13 @@ requirements:
     - numpy  {{ environ.get('FACET_V_NUMPY') }}
     - flit   =3
   run:
-    - joblib         {{ environ.get('FACET_V_JOBLIB') }}
-    - matplotlib     {{ environ.get('FACET_V_MATPLOTLIB') }}
-    - numpy          {{ environ.get('FACET_V_NUMPY') }}
-    - pandas         {{ environ.get('FACET_V_PANDAS') }}
-    - python         {{ environ.get('FACET_V_PYTHON') }}
-    - scipy          {{ environ.get('FACET_V_SCIPY') }}
-    - typing_inspect {{ environ.get('FACET_V_TYPING_INSPECT') }}
+    - joblib          {{ environ.get('FACET_V_JOBLIB') }}
+    - matplotlib-base {{ environ.get('FACET_V_MATPLOTLIB') }}
+    - numpy           {{ environ.get('FACET_V_NUMPY') }}
+    - pandas          {{ environ.get('FACET_V_PANDAS') }}
+    - python          {{ environ.get('FACET_V_PYTHON') }}
+    - scipy           {{ environ.get('FACET_V_SCIPY') }}
+    - typing_inspect  {{ environ.get('FACET_V_TYPING_INSPECT') }}
 test:
   imports:
     - pytools
diff --git a/pyproject.toml b/pyproject.toml
index 26c5f29c8..5587979b3 100644
--- a/pyproject.toml
+++ b/pyproject.toml
@@ -14,12 +14,12 @@ dist-name = "gamma-pytools"
 license = "Apache Software License v2.0"
 
 requires = [
-    "joblib         >=0.14,<1.1a",
+    "joblib         >=0.14,<2a",
     "matplotlib     ~=3.0",
-    "numpy          >=1.16,<1.21a",
+    "numpy          >=1.16,<2a",
     "pandas         >=0.24,<2a",
     "scipy          ~=1.2",
-    "typing_inspect >=0.4",
+    "typing_inspect ~=0.4",
 ]
 
 requires-python = ">=3.6,<4a"
@@ -81,7 +81,7 @@ numpy          = ">=1.20,<2a"  # cannot use ~= due to conda bug
 pandas         = "~=1.2"
 python         = ">=3.8,<4a"  # cannot use ~= due to conda bug
 scipy          = "~=1.6"
-typing_inspect = ">=0.7"
+typing_inspect = "~=0.7"
 
 [tool.black]
 # quiet = "True"