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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: 1st October 2026
Funding:
This project is offered on a self-funded basis. It is open to applicants who are self-funded or who are in the process of securing external funding.
A bench fee is payable in addition to the tuition fee, to cover the cost of specialist equipment and laboratory facilities required for the research. Applicants should contact the primary supervisor for details of the bench fee applicable to this project.
If you are part of the UEA alumni community, you may be eligible for a tuition fee discount.
For information on doctoral funding, visit our Postgraduate Student Loans page.