Before applying to the DPMMS PhD, you are encouraged to discuss informally with possible supervisors. It will help our consideration of your application to know with whom you are interested in working and in what fields. This does not necessarily have to be narrowed down to a single supervisor or research area.
Contact details may be found on each supervisor's webpage. You are encouraged to make initial contact by email, and to provide a CV and brief explanation of your areas of interest.
Algebra
Algebraic Geometry
Analysis and Partial Differential Equations
Combinatorics
Differential Geometry and Topology
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Foundations
Information and Finance
Number Theory
Probability
Statistics
Algebra
| Supervisor | Interests | Taking students for 2027 |
|---|---|---|
| Ian Grojnowski | Representation theory, reductive groups, algebraic geometry | Possibly |
| Stuart Martin | Representation theory of finite and algebraic groups. In particular the representation theory of the symmetric groups, Schur algebras, Hecke algebras and other diagram algebras, together with the associated algebraic combinatorics | Possibly |
| Simon Wadsley | p-adic representation theory of p-adic groups via algebra, geometric representation theory and p-adic analysis | Yes |
| Gareth Wilkes | Geometric group theory, with a particular focus on the interactions of this field with profinite groups. This includes both applying profinite methods to the classical objects of geometric group theory and studying how the techniques of GGT may be applied to profinite groups | Yes |
Algebraic Geometry
| Supervisor | Interests | Taking students for 2027 |
|---|---|---|
| Ian Grojnowski | Representation theory, reductive groups, algebraic geometry | Possibly |
| Mark Gross | Algebraic Geometry | Yes |
| Dhruv Ranganathan | Algebraic Geometry, combinatorics | Possibly |
Analysis and Partial Differential Equations
| Supervisor | Interests | Taking students for 2027 |
|---|---|---|
| Mihalis Dafermos | Partial Differential Equations, General Relativity | Possibly |
| Clement Mouhot | Analysis (partial differential equations, functional inequalities, stochastic processes), foundation of statistical mechanics, kinetic theory | Possibly |
| Pierre Raphael | Non-linear waves, fluid mechanics and singularity formation | Yes |
| Rita Teixeira da Costa | Partial Differential Equations, General Relativity | Unlikely |
| Peter Varju | Analysis, Combinatorics, Number Theory | No |
| Claude Warnick | PDE analysis, in particular hyperbolic PDE. Classical general relativity | Yes |
| Zoe Wyatt | General relativity, theoretical cosmology, analysis of hyperbolic differential differential equations | Yes |
| Neshan Wickramasekera | Geometric measure theory, partial differential equations, differential geometry | Possibly |
| Andras Zsak | Analysis | Possibly |
Combinatorics
| Supervisor | Interests | Taking students for 2027 |
|---|---|---|
| Tim Gowers | Additive and extremal combinatorics, automatic theorem proving | Possibly |
| Imre Leader | Extremal Combinatorics, Ramsey Theory | Yes |
| Julian Sahasrabudhe | Combinatorics and Probability | No |
| Joni Teräväinen | Analytic Number Theory and Additive Combinatorics | Yes |
| Julia Wolf | Arithmetic Combinatorics, Connections with Model Theory | Yes (PhD only) |
Differential Geometry and Topology
| Supervisor | Interests | Taking students for 2027 |
|---|---|---|
| Jack Button | Geometric and combinatorial group theory, especially non positively curved and acylindrically hyperbolic groups, fundamental groups of 3-manifolds | Possibly |
| Ailsa Keating | Symplectic topology, singularity theory and mirror symmetry | Yes |
| Alexei Kovalev | Differential geometry and global analysis, especially reduced holonomy, calibrated submanifolds and special geometric structures | Yes |
| Yang Li | Calabi-Yau metrics, special Lagrangians, and special holonomy | Yes |
| Oscar Randal-Williams | Algebraic and geometric topology | Yes |
| Ivan Smith | I am interested in symplectic topology and its connections to algebraic geometry, algebraic topology, low-dimensional topology and dynamics. Much of my work uses Floer theory (counts of holomorphic discs and associated algebraic structures) to study the topology of Lagrangian submanifolds and the structure of symplectomorphism groups. | Possible but unlikely |
| Gareth Wilkes | Geometric group theory, with a particular focus on the interactions of this field with profinite groups. This includes both applying profinite methods to the classical objects of geometric group theory and studying how the techniques of GGT may be applied to profinite groups | Yes |
| Henry Wilton | Geometric and combinatorial group theory, including word hyperbolic groups and other examples arising from low-dimensional topology | Yes |
Foundations
| Supervisor | Interests | Taking students for 2027 |
|---|---|---|
| Benedikt Löwe | Set Theory, Mathematical Logic | Yes |
Information and Finance
| Supervisor | Interests | Taking students for 2027 |
|---|---|---|
| Varun Jog | Information theory, statistics, and machine learning | Yes |
| Ioannis Kontoyiannis | Information theory, probability, statistics and machine learning | Yes |
| Mike Tehranchi | Mathematical finance, stochastic control, applied probability | Yes |
Number Theory
| Supervisor | Interests | Taking students for 2027 |
|---|---|---|
| Tom Fisher | Computational number theory, elliptic curves, arithmetical algebraic geometry | Yes |
| Holly Krieger | Arithmetic, algebraic, and complex dynamics | Yes |
| Adam Morgan | Arithmetic geometry, rational points, arithmetic statistics | Yes |
| Joni Teräväinen | Analytic Number Theory and Additive Combinatorics | Yes |
| Jack Thorne | Automorphic forms, Galois representations, and arithmetic statistics | Yes |
| Peter Varju | Analysis, Combinatorics, Number Theory | No |
| Rong Zhou | Arithmetic geometry, representation theory, geometry of Shimura varieties | Yes |
Probability
| Supervisor | Interests | Taking students for 2027 |
|---|---|---|
| Ioannis Kontoyiannis | Information theory, probability, statistics and machine learning | Possibly |
| James Norris | Topics in Probability with an orientation to models from Mathematical Physics. Examples are models of particles under elastic and inelastic collision, and large-scale structures formed by random aggregation | Yes |
| Jason Miller | Probability, in particular stochastic interface models (random surfaces and SLE), random walks, mixing times for Markov chains, and interacting particle systems | Possibly |
| Sourav Sarkar | Probability theory, particularly interested in the random growth models that belong to the so-called KPZ universality class, geometric properties of the KPZ fixed point and the relevant processes, last passage percolation, exclusion processes, competitive erosion, stable random fields, percolation theory, Coulomb gas and random walks on graphs | Possibly |
| Perla Sousi | Random walks, Brownian motion, mixing times of Markov chains, Poisson Brownian motions, rearrangement inequalities, dynamical percolation | Possibly |
| Wendelin Werner | Random fields, percolation, loop-soups, SLE and loop-ensembles | No |
Statistics
PhDs in Statistics within the Statistical Laboratory cover a wide range of contemporary challenges in the subject, from theoretical and methodological innovations, to computational developments and applications in many different domains. Prospective applicants are encouraged to make contact with a potential supervisor or supervisors prior to submitting their documents. List of PhD supervisors in Statistics who are willing to consider new students for October 2025 admission:
| Supervisor | Interests | Taking students for 2027 |
|---|---|---|
| Sergio Bacallado | Bayesian methods and Bayesian nonparametrics, analysis of Markov models, and applications to biology and biophysics | Possibly |
| Po-Ling Loh | Calabi-Yau metrics, special Lagrangians, and special holonomy | Yes |
| Kaisey Mandel | Astrostatistics and astroinformatics, Applications in time-domain astronomy and cosmology, Bayesian modeling and inference, Statistical computation | Possibly |
| Richard Nickl | Mathematical Statistics; specifically high-dimensional inference, Bayesian nonparametrics, statistics for PDEs and inverse problems, empirical process theory | Possibly |
| Richard Samworth | Nonparametric and high-dimensional statistics, as well as the statistical foundations of AI | Yes |
| Rajen Shah | Debiased machine learning, causal inference, high-dimensional statistics, nonparametric statistics. | Yes |
| Qingyuan Zhao | Design considerations in statistical research, including causal inference and selective inference, with applications in biomedical and social sciences. | Yes |