Are you an early career researcher looking for your first challenge? Do you have a background in an area related to representation theory and/or applications?  Do you want to further your career in one of the UK’s leading research-intensive universities?

We are looking for two Research Fellows to work on the EPSRC Programme Grant, “Combinatorial Representation Theory: Discovering the Interfaces of Algebra with Geometry and Topology”. 

You will join a strong and supportive collaborative team: Karin Baur, Eleonore Faber, Joao Faria Martins, Bethany Marsh, Paul Martin and Alison Parker.

The vision of the programme is to develop a broad, holistic and useful theory of representations, engaging and unifying diverse perspectives, from algebra, geometry and topology to physics, life sciences and engineering, enabling a cross-discipline transfer of ideas. Our aim is thus to develop a unifying representation theory, which acts as a conduit for cross-fertilization between these disciplines.

The programme is organised around four themes:

1. Algebras bridging between combinatorics and geometry;

2. Mutation of algebraic and geometric structures;

3. Algebraic geometry of Grassmannians and moduli spaces;

4. Computation for Physics. 

An ability to work on Theme 4 is preferred for the 30 month position, but the programme grant is flexible and applications from candidates with the potential to work on any of the four themes will be considered. 

In particular, preference may be given to candidates with expertise in one or more of the following areas: diagram algebras, Hecke algebras, Brauer algebras, homological algebra, algebraic groups, statistical mechanics, topological quantum field theory, topological quantum computing, algebraic computation, and geometric topology. For more information on the programme, please see our website.

We are open to discussing flexible working arrangements.

To explore the post further or for any queries you may have, please contact: 

Professor Paul Martin, Areas of expertise: representation theory; diagram categories and algebras; statistical mechanics.

Email: P.P.Martin@leeds.ac.uk

OR 

Professor Karin Baur, Areas of expertise: algebraic, geometric, and combinatorial methods in representation theory. 

Email: K.U.Baur@leeds.ac.uk