Mathematics City St George's, University of London

Award	Attendance	Study	Duration	Start	Domestic fees	International fees
PhD, MPhil	On-Campus	Full-time, Part-time	3 - 4 years	October	£3600.00 year per	£8100.00 year per

Course fee notes

These fees are for full-time studies only. If you wish to study part-time, you can find fee information on the course page.

Course overview

The Department carries out world class research in the areas of representation theory, mathematical physics and mathematical biology.

The Representation Theory Group has a broad range of expertise in mainstream modern representation theory. The research focus is on gaining deep conceptual understanding of algebraic, combinatorial, geometric and topological structure. The main areas of expertise are: finite dimensional algebras, symmetric groups and Hecke algebras, representations of finite and algebraic groups, Brauer and other diagram algebras, triangulated categories and dg categories, fusion systems, operads and homotopy algebras.

The Mathematical Physics Group's research activities are concentrated on topics in quantum field theory, quantum mechanics and string theory. Extensive expertise in various techniques and methods, developed originally in the context of integrable systems, creates a unique cohesive and vigorous environment. The main research focus is on: the form factor programme, non-Hermitian systems with antilinear symmetry, non-commutative spacetime structures, string and M-theory, gauge/string correspondences with less than maximal supersymmetry, Calabi-Yau manifolds, spintronic systems, graphene nanostructures, fluid mechanics and magnetohydrodynamics.

The Mathematical Biology Group applies mathematical methods to increase our understanding of the biological world. The central focus is on the mathematical modelling of evolution. The main research focus is on: applications of Evolutionarily Stable Strategy, evolution of specific animal behaviour such as kleptoparasitism and biological signalling, modelling of processes of cultural evolution, evolutionary modelling on networks/graphs.