Examples of PhD projects

Below are details of some of the PhD projects, offered by our academics for the academic year 2025/26. 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
Quantum algorithms

Tamara Grava
Integrable Systems and Random Matrices

Applied Mathematics

Rachel Bennett
Elastic coordination of beating cilia (PDF, 40kB)

I‌saac Chenchiah
Solid/Structural Mechanics and Mathematical Biology (PDF, 114kB)

Pure‌

David Ellis
Problems in Extremal Combinatorics (PDF, 145kB)

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