For example, current work on coherent Springer theory has utilised techniques from derived algebraic geometry to establish a categorical Deligne–Langlands correspondence.

Modular representation theory: The branch of representation theory dealing with modules over a field of prime characteristic, crucial for understanding p-local phenomena in finite groups.

The fields of algebra and representation theory contain abundant examples of functors on categories of modules over a ring. These include of course $\operatorname {Hom}, \operatorname {Ext}$, and ...

From this theory, we derive a high-level framework of how effective use and performance evolve, as well as specific models of the nature and drivers of effective use.

The AI also assisted Geordie Williamson at the University of Sydney in the discovery of a conjecture in representation theory that hasn’t yet been proven, but has been successfully tested ...