diff --git a/Project.toml b/Project.toml
index c6331f956dd7..c15f772c51b9 100644
--- a/Project.toml
+++ b/Project.toml
@@ -26,23 +26,23 @@ UUIDs = "cf7118a7-6976-5b1a-9a39-7adc72f591a4"
 cohomCalg_jll = "5558cf25-a90e-53b0-b813-cadaa3ae7ade"
 
 [compat]
-AbstractAlgebra = "0.39.0"
-AlgebraicSolving = "0.4.10"
+AbstractAlgebra = "0.40.0"
+AlgebraicSolving = "0.4.11"
 Distributed = "1.6"
 DocStringExtensions = "0.8, 0.9"
 GAP = "0.10.2"
-Hecke = "0.28.0"
+Hecke = "0.29.0"
 JSON = "^0.20, ^0.21"
 JSON3 = "1.13.2"
 LazyArtifacts = "1.6"
-Nemo = "0.42.1"
+Nemo = "0.43.0"
 Pkg = "1.6"
 Polymake = "0.11.13"
 Preferences = "1"
 Random = "1.6"
 RandomExtensions = "0.4.3"
 Serialization = "1.6"
-Singular = "0.22.0"
+Singular = "0.22.3"
 TOPCOM_jll = "0.17.8"
 UUIDs = "1.6"
 cohomCalg_jll = "0.32.0"