Mathematics – (Ph.D.)

Supervision is available in any of our research areas. For more information about staff specialisms please see the School’s website.

Mathematics: our pure mathematics staff are prominent in two fields: functional analysis and geometric algebra. In analysis, one subgroup concentrates on operator theory and function theory, the other on more algebraic topics such as Banach algebras, cohomology and modules. In algebra there are subgroups devoted to the study of infinite groups and the study of finite classical groups and their geometries (Dr R Bocklandt, Dr M Dritschel, Dr A Duncan, Professor P Jorgensen, Dr O King, Dr Z Lykova, Professor S Rees, Professor G Robertson, Dr A Vdovina, Dr M White).

Applied mathematics: our staff have research interests in fluid mechanics, astrophysics and cosmology. In fluid dynamics, research is undertaken in numerical modelling of quantum, classical and astrophysical fluids. In quantum fluids we have experts in the properties of superfluid liquid Helium and Bose-Einstein condensates. Research in astrophysical fluids covers areas as diverse as the Earth’s core, planetary dynamos, acretion discs and galaxies. In cosmology, our main interests are in the very early universe and quantum gravity (Professor C Barenghi, Dr P Bushby, Dr C Campbell, Dr A Fletcher, Professor I Moss, Dr N Proukakis, Dr G Sarson, Professor A Shukurov, Dr D Toms).

Statistics: we have a strong international reputation for research in bioinformatics, biostatistics, Bayes methodology and applied probability. Our interests centre on: Bayesian statistics; longitudinal and event history analysis; Bayesian design of clinical experiments; extreme value theory; non-parametric maximum likelihood; statistical bioinformatics; applied probability; stochastic processes and the optimal control of stochastic systems.

Supervision is available in the following areas: analysis of DNA sequences; Bayesian statistics; biostatistics; extreme value theory; medical statistics; moment problems; optimal control of stochastic systems; optimal design of clinical experiments; scheduling problems; statistical bioinformatics; statistical genetics; statistical modelling; stochastic processes; stochastic systems biology; survival data analysis (Dr P Ansell, Dr P Avery, Professor R Boys, Dr M Farrow, Dr L Fawcett, Dr C Gillespie, Dr A Golightly, Professor R Henderson, Ms D Howel, Professor J Matthews, Dr T Nye, Dr J Shi, Dr J Stoyanov, Dr D Walshaw, Professor D Wilkinson).