Commutative algebra and algebraic geometry form a deeply interwoven field that investigates the structure of polynomial rings, their ideals, and the geometric objects defined by these algebraic sets.

A research team based in China says its artificial intelligence system has done something no AI has publicly done before: ...

In operator algebras we are particularly interested in $\mathsf{C}^*$-algebra theory and its connections to other areas such as dynamical systems, group theory, topology, non-commutative geometry, and ...

Representation theory with a quantum group flavour; non-commutative geometry and some functional analysis and operator algebras; category theory; some algebraic geometry, mostly foundational issues, ...