Examples of PhD projects
Below are details of some of the PhD projects, offered by our academics for the academic year 2024/25. If you are interested in a particular project or research area, please mention this in your application and your research proposal and feel free to contact supervisors directly. These, however, are only examples of projects; the research would normally evolve in real time, and supervisors are generally open to new projects. Once you feel that you are interested in a specific research area or supervisor please mention this in your application form so we can direct your application to the most appropriate reviewers.
Mathematical physics
Nina Snaith
Random Matrix Theory (PDF, 52kB)
Thomas Bothner
Non-Hermitian to Hermitian random matrices/Topological expansions (PDF, 176kB)
Roman Schubert
Time dependent problems in quantum mechanics (PDF, 34kB)
Ashley Montanaro
Error-mitigated near-term quantum algorithms (PDF, 228kB)
Applied Mathematics
Alexander Mietke
Active matter in complex environments (PDF, 66kB)
Rachel Bennett
Elastic coordination of beating cilia/Bacteria on nanospikes (PDF, 84kB)
Isaac Chenchiah
Solid/Structural Mechanics and Mathematical Biology (PDF, 114kB)
Pure
Tim Dokchitser
Algebraic number theory and elliptic curves (PDF, 80kB)
Philip Welch
Logic/Set Theory
Celine Maistret
Computational number theory and arithmetic geometry
Tim Burness
Algebra and group theory
Misha Rudnev
Number theory and combinatorics
Oleksiy Klurman
Analytic and probabilistic number theory, combinatorics, harmonic analysis
Matthew Tointon
Combinatorial and probabilistic aspects of groups
Farhad Babaee
Analytic Geometry, Combinatorical Algebraic Geometry
Statistical Science
Sidarth Jaggi
Covert & stealthy communication/Adversarial communication/Sparse patterns (PDF, 47kB)
Katarzyna Reluga
Causal Inference, Machine Learning, Mixed and Multilevel Models, Resampling Techniques, Survey Statistics
Matteo Fasiolo
Scalable Additive Models for Energy Forecasting (PDF, 240kB)
Juliette Unwin
Developing efficient spatio-temporal infectious disease models (PDF, 95kB)
Prob_AI Hub
Sam Power
Comparison theory for MCMC algorithms (PDF, 150kB)
Song Liu
Computational Statistical Discrepancies for High-dimensional Datasets (PDF, 48kB)
Nick Whiteley
Statistical understanding and visualisation of AI embeddings (PDF, 48kB)
Probability, analysis and dynamics
Marton Balazs
Last passage percolation/Fluctuations in interacting particle systems (PDF, 31kB)
Joseph Najnudel
Probability theory and analytic number theory (PDF, 100kB)
Carl Dettmann
Stabilisation in switched systems / Spatial networks (PDF, 53kB)
John Mackay
Geometric group theory and analysis on metric spaces