Overview Candidates carry out original research within the Department of Mathematics specific areas of expertise:Representation theoryMathematical physicsMathematical biologyRecent publications from the Department of Mathematics.
Examples of recent PhD theses:Banjo, Elizabeth (2013). Representation theory of algebras related to the partition algebra. (Unpublished Doctoral thesis, City University London)Levi, Emanuele (2013). Universal properties of the entanglement entropy in quantum integrable models. (Unpublished Doctoral thesis, City University London)Zhang, Cheng (2013). Continuous and quad-graph integrable models with a boundary: Reflection maps and 3D-boundary consistency. (Unpublished Doctoral thesis, City University London)Bourgoin, Monique (2012). Antilinear deformations of Coxeter groups with application to Hamiltonian systems. (Unpublished Doctoral thesis, City University London)Hadjichrysanthou, Christopher (2012). Evolutionary models in structured populations. (Unpublished Doctoral thesis, City University London)Assis, Paulo (2009). Non-Hermitian Hamiltonians in Field Theory. (Doctoral thesis, City University London). School of Mathematics, Computer Science & Engineering, Department of Mathematics Start Date: Research students may commence their degree studies in October or February. 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. English Language Requirements For applicants whose first language is not English, proof of English language proficiency will be required. We require a minimum IELTS score of 6.5. Please note that the UK Border Agency currently requires us to confirm that you are at level B2...
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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.
- Full-time EU: £3,600 per year
- Part-time EU: £1,800 per year
- Full-time Non EU: £8,100 per year
- Part-time Non EU: £4,000 per year
Fees for doctoral candidates are charged annually and cover registration, supervision and examination. Fees are subject to review each year and may vary during your period of registration.