Representation theory and Categorification (MIEMIETZV_U27EMPSFPF)
Not stated
- Funding
- Self-Funded PhD Students Only
- Application deadline
- 30 November 2026
About the project
About the Project Primary Supervisor: Prof Vanessa Miemietz Categorification has led to major advances in representation theory in the last 30 years, including the proof of Broué’s abelian defect group conjecture for symmteric groups and the proof of the Kazhdan—Lusztig conjectures for all Coxeter types. Classically, a representation of an algebra (a ring that is also a vector space) is an action of the latter on a vector space via linear maps. This is categorified to an action of a monoidal category on another category (or, more generally, of a 2-category on a collection of categories) via (nice) functors. This yields new information by looking at natural transformations between such functors. This project will study specific examples of such categorifications. Entry Requirements The minimum entry requirement is 2:1 in mathematics. Mode of Study Full or Part time Start Date: 1 February 2027