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.

The Peking University team's AI-driven framework not only solved Dan Anderson’s conjecture in commutative algebra but also produced a fully formalised proof on its own.

I joined the Mathematics Department at LSE as an assistant professor (education) in September 2024. I obtained my PhD degree in Mathematics at the University of Sheffield, under the supervision of Dr ...

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 ...