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Postgraduate Study in Mathematics

Before applying to the DAMTP PhD you may wish to make informal contact with potential supervisors but that is not compulsory. 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 an up-to-date CV and brief explanation of your areas of interest.

Applied and Computational Analysis
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

 

Supervisor Interests Taking students for 2027
Natalia Berloff Physics of information, physical neural networks, coherent quantum systems and physics-inspired, physics-based and quantum-enhanced computing. Yes
Colm-cille Caulfield Generalized stability theory for shear flows, stratified turbulence and mixing. Data-driven Yes
Matthew Colbrook Foundations of AI, data-driven dynamical systems, spectral problems, PDEs, optimisation Yes
Nilanjana Datta Quantum information theory and some aspects of mathematical physics. No
Nicola De Maio

Models and algorithms for large-scale inference of genome evolution and pathogen transmission

Yes
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
Gamze Gursoy Privacy-preserving computation and secure analysis of genomic data. Machine learning and algorithmic methods for genomics and multi-omics, and integration of genomic and clinical data for patient phenotyping 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 Modelling of granular and other non-Newtonian 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 geophysical (e.g. librating flows) and astrophysical contexts; Non-Newtonian particularly polymer flows (drag reduction, elasto-inertial and elastic turbulence); noisy systems with non-normal properties. Yes (PhD only)
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
George Stepaniants

Scientific machine learning, AI for scientific discovery, data-driven dynamical systems, inverse problems, statistical learning, and optimal transport

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
Mihaela van der Schaar

Machine Learning and Artificial Intelligence

The van der Schaar Lab

Yes
Nicole Shibley Physics of climate/environmental/planetary processes: ocean physics and mixing, particularly in polar regions; ice processes; ice-ocean interactions in Earth and planetary environments; building ventilation. Observational analyses using canonical and AI approaches, analytical/numerical theory, laboratory experiments Yes

 

Astrophysics

 

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

Supervisor Interests Taking students for 2027
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; Magnetic fields and dynamos 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, High Energy Astrophysics Yes
Nicole Shibley Physics of climate/environmental/planetary processes: ocean physics and mixing, particularly in polar regions; ice processes; ice-ocean interactions in Earth and planetary environments; building ventilation. Observational analyses using canonical and AI approaches, analytical/numerical theory, laboratory experiments 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 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 2027
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, physics-based and quantum-enhanced computing. Yes
Rajesh Bhagat Interfacial flows, building ventilation flow, airborne disease transmission Yes
Michael Cates Statistical physics of soft and active matter No
Colm-cille Caulfield Generalized stability theory for shear flows, stratified turbulence and mixing. Data-driven

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
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
Peter Haynes    
Duncan Hewitt Modelling of granular and other non-Newtonian flow problems  Yes
Robert Jack Statistical physics, rare events, soft matter, glassy dynamics and metastability Yes
Maziyar Jalaal 

Biological Physics of Cells, non-Newtonian Fluids Mechanics, Environmental Fluid Mechanics, Rheology
Robotics & AI, Dynamical Systems & Chaos

Research Group | Mazi Jalaal | UvA

Yes (including MPhil by Thesis Students)
Rich Kerswell General stability theory, transition and turbulence in geophysical (e.g. librating flows) and astrophysical contexts; Non-Newtonian particularly polymer flows (drag reduction, elasto-inertial and elastic turbulence); noisy systems with non-normal properties. Yes (PhD only)
Quentin Kriaa Environmental and geophysical fluid mechanics, often designing original experiments as well as analytical or numerical idealized models, to analyse multiphase flows - deep convective clouds; aerosol deposition and transport; extreme precipitations; avalanches; supercooled rivers; crystallizing magma; solidifying planetary cores. Yes
Henrik Latter Instabilities, waves, and turbulence in astrophysical settings; Protoplanetary disks and planet formation; Magnetic fields and dynamos 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
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, mechanistic frameworks. Yes
Jerome Neufeld River seepage erosion (theory and experiments), subglacial hydrology and the grounding zone, granular erosion, cryosphere repair 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
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, High Energy Astrophysics Yes
Sebastian Schemm Atmospheric fluid dynamics, large-scale circulation, jet stream and storm tracks, Rossby and gravity waves, extreme weather, Lagrangian methods, modelling of weather and climate, hybrid AI-physics models, machine learning parameterisations, parameter estimation with inverse methods, very high-resolution modelling 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

Machine Learning (fundamentals and applications to healthcare)

Supervisor Interests Taking students for 2027
Natalia Berloff Physics of information, physical neural networks, coherent quantum systems and physics-inspired, physics-based and quantum-enhanced computing. Yes
Miles Cranmer Machine learning for physical sciences, ML-accelerated simulation, foundation models for science (polymathic-ai.org/), AI for scientific discovery Yes
Carola Schonlieb Mathematical imaging, inverse problems, applied PDEs, machine learning, optimisation Yes
George Stepaniants Statistical learning, optimal transport, AI for scientific discovery, scientific machine learning, inverse problems, and data-driven dynamical systems 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 2027
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, physics-based and quantum-enhanced computing. Yes
Angela Capel Cuevas Quantum information theory and quantum many-body systems. In particular, quantum Markov semigroups, functional inequalities, correlations on Gibbs states, local Hamiltonians, entropies and entropic inequalities, and applications to quantum algorithms and phases of matter. Yes
Nilanjana Datta Quantum information theory and some aspects of mathematical physics. No
Hamza Fawzi Convex optimization and applications to quantum information theory, quantum many-body theory; Semidefinite programming relaxations and sums of squares Possibly
Boris Groisman Foundations of Quantum Mechanics and Quantum Information Theory No
Adrian Kent Quantum information theory and applications, quantum foundations, quantum theory and gravity, experimental tests Possibly
Frank Verstraete Quantum entanglement and its role in many-body physics Yes

Mathematical Biology

Supervisor Interests Taking students for 2027
Nicola De Maio Models and algorithms for large-scale inference of genome evolution and pathogen transmission Yes
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
Gamze Gursoy Privacy-preserving computation and secure analysis of genomic data, machine learning and algorithmic methods for genomics and multi-omics, and integration of genomic and clinical data for patient phenotyping 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
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
Gos Micklem Computational biology Possibly
Carola Schonlieb Mathematical imaging, inverse problems, applied PDEs, machine learning, optimisation 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 2027
Ben Allanach HEP phenomenology No
Alejandra Castro String Theory, AdS/CFT, and Quantum Gravity No
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 Maybe
Sven-Ludwig Krippendorf Machine Learning for Theoretical Particle Physics and Cosmology, Physics of learning Yes (PhD only)
Enrico Pajer Quantum field theory in curved spacetime with application to problems in gravity and cosmology. Open quantum systems.  Yes
Harvey Reall General Relativity No
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. No
David Skinner Twistors, Topological Strings, Quantum Integrability, Celestial Holography Maybe (PhD students only)
David Stuart PDEs and Analysis of classical and quantum field theories. No
Christopher Thomas Lattice QCD and hadron physics Yes
David Tong Quantum field theory No
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
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 2027
Anthony Challinor Constraining fundamental cosmology with the CMB and large-scale structure Yes
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 No
Steven Gratton Early Universe theory, advanced CMB analysis methods No
Sean Hartnoll Holographic emergence of space and time in quantum gravity Maybe
Enrico Pajer Quantum field theory in curved spacetime with application to problems in gravity and cosmology. Open quantum systems.  Yes
Harvey Reall General Relativity

No

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. No
Paul Shellard PhD student to work on the Simons Observatory project: analysis of the bispectrum. Student will be co-supervised with Professor James Fergusson Yes
Blake Sherwin Constraining fundamental physics with CMB and large-scale structure Possibly
Ulrich Sperhake Modeling of compact objects in the framework of general relativity using numerical techniques, including the calculation of gravitational-wave signatures from these scenarios. Yes
Rita Teixeira da Costa Partial Differential Equations, General Relativity  Unlikely
Claude Warnick General relativity, classical field theories, analysis of partial differential equations Probably
Zoe Wyatt General relativity, theoretical cosmology, analysis of partial differential equations Yes