Mathematical logic and set theory provide the foundational language for modern mathematics, articulating precise notions of proof, computability and the hierarchy of infinities. Central themes include ...

Representation theory studies the ways in which abstract algebraic objects—groups, rings, algebras and categories—can act by linear transformations on vector spaces or modules. By encoding an ...

Descriptive set theorists study the niche mathematics of infinity. Now, they’ve shown that their problems can be rewritten in the concrete language of algorithms. The Quanta Newsletter ...

By replacing the most fundamental concept in topology, Peter Scholze and Dustin Clausen are taking the first step in a far ...

Established in 2008, the BLAST conference series focuses on topics in the Foundations of Mathematics. The acronym BLAST stands for ``Boolean algebra, Lattices, universal Algebra, Set theory, and ...