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Postgraduate Study in Mathematics

Before applying to the DAMTP 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.

Applied and Computational Analysis (including CMI)
Astrophysics
Fluid Mechanics, Geophysics, Biophysics and Soft Matter
Machine Learning (fundamentals and applications to healthcare)
Quantum Information
Mathematical Biology
High Energy Physics
General Relativity and Cosmology
 

Applied and Computational Analysis (including CMI)

Supervisor Interests Taking students for 2026
Angelica Aviles-Rivero Inverse problems, machine learning, computation mathematics Yes
Natalia Berloff Physics of information, physical neural networks, coherent quantum systems and physics-inspired computing Yes
Colm-cille Caulfield Data-driven methods and high performance computing for climate and environmental science Yes
Matthew Colbrook Foundations of AI, data-driven dynamical systems, spectral problems, PDEs, optimisation Yes
Nilanjana Datta Quantum information theory, in particular, quantum (and classical) entropies and divergences, entanglement theory, quantum channels, hypothesis testing Possibly
Hamza Fawzi Convex optimization and applications to quantum information theory, quantum many-body theory; Semidefinite programming relaxations and sums of squares Possibly
Mark Girolami Computational Statistics, Uncertainty Quantification, Machine Learning Yes
Anders Hansen Functional Analysis, AI, Foundations of Computational Mathematics, Solvability Complexity Index hierarchy and computer assisted proofs, Hardness of Approximation in PDEs, Optimisation and Inverse Problems

Yes

 

Duncan Hewitt Numerical approaches to non-Newtonian fluid-flow problems Yes
Adrian Kent Quantum information theory and applications, quantum foundations, quantum theory and gravity, experimental tests Possibly
Rich Kerswell General stability theory, transition and turbulence in engineering, geophysical and astrophysical contexts; Non-Newtonian particularly polymer flows (drag reduction, elasto-inertial and elastic turbulence). Yes
Chao Li Developing artificial intelligence and multi-omics approaches to better understand brain structure/function and brain disorders Yes
Paul Linden    
Nigel Peake Acoustics, fluid-structure interaction, stability of high-speed flows  
Michael Roberts Imaging, clinical applications, machine learning Unlikely
Carola Schonlieb Mathematical imaging, inverse problems, applied PDEs, machine learning, optimisation Yes
Alexei Shadrin    
Edriss Titi

Rigorous Applied Analysis of Nonlinear Partial Differential Equations,  including the Navier-Stokes and Euler equations,  Atmospheric and Oceanic Dynamics Models, Data Assimilation, and Infinite Dimensional Dissipative Dynamical Systems.

Yes
Mihaela van der Schaar

Machine Learning and Artificial Intelligence

The van der Schaar Lab

Yes
Nicole Shibley

Observational analyses and analytical/numerical approaches to fluid-dynamics problems in Earth and planetary science

Yes

Astrophysics

Information for PhD applicants intending to apply to this area is available through this link.

Supervisor Interests Taking students for 2026
Miles Cranmer Machine learning for astrophysics, turbulence, planet formation, galactic dynamics, galaxy formation, astrostatistics, cosmology Yes
Giulio Del Zanna Atomic physics calculations and modelling applied to astrophysical plasma, spectral diagnostic techniques using emission lines to measure the plasma state, and analysis of data of the solar atmosphere from space-based and ground-based missions Possibly
Henrik Latter Instabilities, waves, and turbulence in astrophysical settings; Protoplanetary disks and planet formation Yes
Gordon Ogilvie Astrophysical fluid dynamics of discs, planets and stars; waves, instabilities and magnetic fields in rotating fluids; nonlinear dynamics and asymptotic methods Yes
Roman Rafikov Astrophysical fluid dynamics, Accretion discs, N-body dynamics, Planet formation, Planetary dynamics Yes
Nicole Shibley Planetary science; ice-ocean interactions in Earth and planetary environments, such as ice-covered moons in the Solar System; habitability Yes

Fluid Mechanics, Geophysics, Biophysics and Soft Matter

Information for PhD applicants interested in Atmosphere-Ocean Dynamics is available through this link.

Information for PhD applicants interested in Biological Physics & Mechanics is available through this link.

Information for PhD applicants interested in the Institute of Theoretical Geophysics is available through this link.

Information for PhD applicants interested in Soft Matter is available through this link.

Information for PhD applicants interested in Solid Mechanics is available through this link.

Information for PhD applicants interested in Waves is available through this link.

Supervisor Interests Taking students for 2026
David Abrahams    
Ronojoy Adhikari Statistical physics, soft matter physics, continuum mechanics, stochastic processes, Bayesian inference and probabilistic machine learning, numerical solutions of partial differential equations, numerical functional minimisation, epidemiological modelling, applications of machine learning in the digital humanities Yes
Natalia Berloff Physics of information, physical neural networks, coherent quantum systems and physics-inspired computing Yes
Rajesh Bhagat Interfacial flows, building ventilation flow, airborne disease transmission Yes
Michael Cates Statistical physics of soft and active matter Unlikely
Colm-cille Caulfield Stratified turbulence and mixing, generalized stability theory, environmental and industrial fluid dynamics

Yes

Miles Cranmer Machine learning for fluid dynamics, simulation, surrogate modelling, multiscale physics, astrophysical fluids, planet formation

Yes

Stuart Dalziel Fluid mechanics, frequently with a component of laboratory experiments as well as theory/numerics, with motivation ranging from geophysical and environmental flows to industrial flows and granular materials Yes
Giulio Del Zanna Atomic physics calculations and modelling applied to astrophysical plasma, spectral diagnostic techniques using emission lines to measure the plasma state, and analysis of data of the solar atmosphere from space-based and ground-based missions Unlikely
Stephen Eglen Computational neuroscience, neuroinformatics Yes
Julia Gog The mathematics of infectious disease Yes
Ray Goldstein Biological physics and fluid dynamics, theory and experiment No
Anders Hansen Functional Analysis, AI, Foundations of Computational Mathematics, Solvability Complexity Index hierarchy and computer assisted proofs, Hardness of Approximation in PDEs, Optimisation and Inverse Problems

Yes

 

Peter Haynes    
Duncan Hewitt Non-Newtonian fluids, geological and industrial flows, clogging and jamming flows, porous media Yes
Robert Jack Statistical physics, rare events, soft matter, glassy dynamics and metastability Yes
Rich Kerswell General stability theory, transition and turbulence in engineering, geophysical and astrophysical contexts; Non-Newtonian particularly polymer flows (drag reduction, elasto-inertial and elastic turbulence). Yes
Henrik Latter Instabilities, waves, and turbulence in astrophysical settings; Protoplanetary disks and planet formation Yes
Eric Lauga Fluid dynamics of biological and living systems; Biological physics and complex flows; Viscous and non-Newtonian fluid mechanics; Microfluidics; Active matter; Physics and mathematics of sports Yes
Adrien Lefauve Turbulence, stratified flows, laboratory experiments and modelling, coastal oceanography in particular in the context of climate change Yes
Paul Linden    
John Lister Stokes flows and lubrication theory, particularly driven by surface tension or with elastic deformation Possibly
Gos Micklem Computational biology Possibly
Alison Ming Atmospheric dynamics, coupling to radiation and chemistry, stratospheric processes and coupling to troposphere and surface Yes
Jerome Neufeld    
Gordon Ogilvie Astrophysical fluid dynamics of discs, planets and stars; waves, instabilities and magnetic fields in rotating fluids; nonlinear dynamics and asymptotic methods Yes
Nigel Peake Acoustics, fluid-structure interaction, stability of high-speed flows  
Roman Rafikov Astrophysical fluid dynamics, Accretion discs, N-body dynamics, Planet formation, Planetary dynamics Yes
Nicole Shibley Physics of climate/environmental/planetary processes: ocean physics, particularly in polar regions; ice processes; ice-ocean interactions in Earth and planetary environments; building ventilation. Observational analyses, analytical/numerical approaches, laboratory experiments Yes
John Taylor Fluid dynamics of the ocean, using numerical simultions, data analysis, analytical techniques Yes
Edriss Titi

Rigorous Applied Analysis of Nonlinear Partial Differential Equations,  including the Navier-Stokes and Euler equations,  Atmospheric and Oceanic Dynamics Models, Data Assimilation, and Infinite Dimensional Dissipative Dynamical Systems.

Yes
Grae Worster Coupling of fluid mechanics and solidification in geophysical contexts, and the dynamics of hydrogels Possibly

Machine Learning (fundamentals and applications to healthcare)

Supervisor Interests Taking students for 2026
Natalia Berloff Physics of information, physical neural networks, coherent quantum systems and physics-inspired computing Yes
Miles Cranmer Machine learning for physical sciences, ML-accelerated simulation, foundation models for science (polymathic-ai.org/), AI for scientific discovery Yes
Chao Li Developing artificial intelligence and multi-omics approaches to better understand brain structure/function and brain disorders Yes
Carola Schonlieb Mathematical imaging, inverse problems, optimisation, mathematical foundations of machine learning Yes
Mihaela van der Schaar

Machine Learning and Artificial Intelligence (formal applications through the University's Applicant Portal should only be made to work with her once a place has been confirmed), Machine Learning for Healthcare, Machine Learning for Education, Reality-Centric AI

The van der Schaar Lab

Yes

Quantum Information

Supervisor Interests Taking students for 2026
Benjamin Beri Condensed matter theory, topological order, quantum dynamics, quantum computing Possibly
Natalia Berloff Physics of information, physical neural networks, coherent quantum systems and physics-inspired computing Yes
Angela Capel Cuevas Quantum information theory, quantum many-body systems, entropic inequalities, quantum Markov semigroups, correlations on thermal states and algorithms for quantum many-body systems Yes
Nilanjana Datta Quantum information theory, in particular, quantum (and classical) entropies and divergences, entanglement theory, quantum channels, hypothesis testing Possibly
Hamza Fawzi Convex optimization and applications to quantum information theory, quantum many-body theory; Semidefinite programming relaxations and sums of squares Possibly
Boris Groisman    
Adrian Kent Quantum information theory and applications, quantum foundations, quantum theory and gravity, experimental tests Possibly
Sergii Strelchuk Quantum computing, quantum algorithms, quantum channels, quantum simulation No
Frank Verstraete Quantum entanglement and its role in many-body physics Yes

Mathematical Biology

Supervisor Interests Taking students for 2026
Stephen Eglen Computational neuroscience, neuroinformatics Yes
Julia Gog The dynamics of infectious disease Yes
Ray Goldstein Biological physics and fluid dynamics, theory and experiment No
Anders Hansen Functional Analysis, AI, Foundations of Computational Mathematics, Solvability Complexity Index hierarchy and computer assisted proofs, Hardness of Approximation in PDEs, Optimisation and Inverse Problems Yes
Eric Lauga Fluid dynamics of biological and living systems; Biological physics and complex flows; Viscous and non-Newtonian fluid mechanics; Microfluidics; Active matter; Physics and mathematics of sports Yes
Chao Li Developing artificial intelligence and multi-omics approaches to better understand brain structure/function and brain disorders Yes
Gos Micklem Computational biology Possibly
Carola Schonlieb Mathematical imaging, inverse problems, optimisation, mathematical foundations of machine learning Yes
Ben Simons    
Mihaela van der Schaar

Machine Learning and Artificial Intelligence

The van der Schaar Lab

Yes

High Energy Physics

Information for external PhD applicants intending to apply to this area is available through this link.

Supervisor Interests Taking students for 2026
Ben Allanach HEP phenomenology No
Alejandra Castro String Theory, AdS/CFT, and Quantum Gravity Yes
Nick Dorey Quantum Field Theory, String Theory and M-Theory No
Maciej Dunajski Mathematical Physics, Twistor Theory, General Relativity, Solitons Yes
Ron Reid-Edwards Quantum Gravity, String Theory and Quantum Field Theory Yes
Ben Gripaios Mathematical approaches to Quantum Field Theory; Theory beyond the Standard Model Yes
Sean Hartnoll Holographic emergence of space and time in quantum gravity Yes/Possibly
Sven Krippendorf Machine Learning for Theoretical Particle Physics and Cosmology, Physics of neural networks Yes
Alex Mitov   Unlikely
Enrico Pajer Quantum field theory in curved spacetime and theoretical cosmology Yes
Harvey Reall General Relativity Yes
Jorge Santos Exploring diverse facets of general relativity, quantum gravity, gravitational aspects of string theory, and numerical relativity, with a particular focus on studying black holes with anti-de Sitter asymptotics through field theory considerations Yes
David Skinner Celestial Holography, Topological String Theory, Twistor Theory No
David Stuart Analysis and Mathematical physics No
Christopher Thomas Lattice QCD and hadron physics Yes
David Tong Quantum field theory Yes
Maria Ubiali Quantum Chromo Dynamics, Machine Learning applications in particle physics phenomenology, Standard Model Phenomenology, Parton Distribution Functions, Standard Model Effective Field Theories, Axions, Heavy quarks Yes
Aron Wall Holographic quantum gravity, black hole thermodynamics, T^2 deformation Possibly
Matthew Wingate Lattice field theory: hadronic matrix elements and weak interactions; novel classical and quantum algorithms Yes

General Relativity and Cosmology

Information for external PhD applicants intending to apply to this area is available through this link.

Supervisor Interests Taking students for 2026
Anthony Challinor Constraining fundamental cosmology with the CMB and large-scale structure Probably
William Coulton CMB theory and data analysis, particularly methods to isolate different sky signals and characterize CMB secondaries, and primordial non-Gaussianity, both in the CMB and in large scale structure Possibly
Miles Cranmer Machine learning for cosmology and cosmological data analysis, large-scale structure, large numerical simulations, simulation-based inference Yes
Mihalis Dafermos Proving theorems about general relativity, especially black holes and singularities Unlikely
Maciej Dunajski Mathematical Physics, Twistor Theory, General Relativity, Solitons Yes
James Fergusson Higher order correlation functions of cosmological data sets  Unlikely
Steven Gratton Early Universe theory, advanced CMB analysis methods Possibly
Sean Hartnoll Holographic emergence of space and time in quantum gravity Yes/Possibly
Christopher Moore   Possibly
Enrico Pajer Quantum field theory in curved spacetime and theoretical cosmology Yes
Harvey Reall General Relativity

Yes

Jorge Santos Exploring diverse facets of general relativity, quantum gravity, gravitational aspects of string theory, and numerical relativity, with a particular focus on studying black holes with anti-de Sitter asymptotics through field theory considerations Yes
Paul Shellard   Possibly
Blake Sherwin Constraining fundamental physics with CMB and large-scale structure Possibly
Ulrich Sperhake Gravitational wave physics, numerical relativity Unlikely
Rita Teixeira da Costa Partial Differential Equations, General Relativity  Possibly
Aron Wall Holographic quantum gravity, black hole thermodynamics, T^2 deformation Possibly
Claude Warnick General relativity, classical field theories, analysis of partial differential equations Possibly