|Newcastle upon Tyne
|UK Students, EU Students, International Students
|11th December 2023
|31st January 2024
100% of home tuition fees covered and a minimum tax-free living allowance of £18,622 (2023-24 UKRI rate).
Representation Theory and Tensor Categories
The category of finite dimensional representations of a group or an affine group scheme or a quantum group is a tensor category. One would like to understand the fusion rules that describe the decomposition of tensor products or one seeks qualitative information like the classification of tensor ideals or the connection to other categories via tensor functors.
I am particularly interested in the following two research areas.
1) Algebraic supergroups and Lie superalgebras generalize the notions of algebraic groups and Lie algebras. The general linear group generalizes to the general linear supergroup and the orthogonal and symplectic group simultaneously to the orthosymplectic supergroup. The tensor structure of the representation categories is widely unknown. In a project in this area the successful candidate would study various ways to understand the tensor structure via categorical techniques, character formulas or homotopical algebra.
2) Deligne categories are families of universal tensor categories that interpolate other representation categories. For example, representations of the symmetric group can be extended to complex parameters. In a project in this area the successful candidate would further develop this theory, in particular by comparing them to other categories which capture the phenomenon of stabilization with respect to rank.
Number Of Awards
16th September 2024
Application Closing Date
31 January 2024
This studentship is in the first instance available to home students (UK students and EU students with settled or pre-settled status) who have or expect a first class or high 2:1 honours degree in [Mathematics / Statistics / Physics] or another relevant discipline. A Masters qualification in a relevant subject area is advantageous. Exceptional international/EU applicants will also be considered.
Applicants whose first language is not English require a minimum of IELTS 6.5. International applicants may require an ATAS (Academic Technology Approval Scheme) clearance certificate prior to obtaining their visa and to study on this programme.
How To Apply
To apply for a studentship, you must register and apply through the University’s Apply to Newcastle Portal
Once registered select ‘Create Application’ and then ‘Postgraduate’.
Use ‘Search Course’ to identify your programme of study:
You will then need to provide the following information in the ‘Further Details’ section:
In the ‘Supporting Documentation’ section please upload:
For more information about the possible research topics contact Thorsten Heidersdorf via email firstname.lastname@example.org. For general application enquires please contact MSP PGR Support and email email@example.com.
Type / Role: