City, University of London

City, University of London

Mathematics

Candidates carry out original research within the Department of Mathematics specific areas of expertise: - Representation theory - Mathematical physics - Mathematical biology

Entry requirements

A good first class degree in Mathematics or Physics from a UK university or a recognised equivalent from an overseas institution. Some subjects also require an appropriate Masters qualification.

Assessment methods

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.

Sponsorship information

EPSRC Grants City Research Fellowships.

Qualifications

Qualification Study mode Start month Fee Course duration
PhD Full-time October 2017 GBP 3,600 per Year 1 (England) 3 years
PhD Full-time October 2017 GBP 8,100 per Year 1 (International) 3 years
PhD Full-time October 2017 GBP 3,600 per Year 1 (Northern Ireland) 3 years
PhD Full-time October 2017 GBP 3,600 per Year 1 (Scotland) 3 years
PhD Full-time October 2017 GBP 3,600 per Year 1 (Wales) 3 years

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