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EPSRC Centre for Doctoral Training in Analysis



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Completed theses on DSpace
Current thesis topics

2016 cohort

Student Supervisor Thesis title Destination
Andrew Celsus      
Matthew Colbrook      
Christoph Kehle Professor Mihalis Dafermos

Diophantine Approximation as Cosmic Censor for AdS Black Holes 

Junior Fellow at ETH-ITS Zurich
Piet Lammers Professor James Norris

Macroscopic behaviour of Lipschitz random surfaces 

Postdoctoral Researcher, IHES
Sebastian Lunz      
Sam Power      
Ferdia Sherry      
Laura Thesing      
Robert Tovey      
Sven Wang      
Katarzyna Wyczesany      

2015 Cohort

Student Supervisor Thesis title Destination
Kweku Abraham Professor Richard Nickl Consistency of nonparametric Bayesian methods for two statistical inverse problems arising from partial differential equations Postdoctoral Researcher, Université Paris-Sud

Nikolay Baldin

Dr Quentin Berthet Optimal estimation in high-dimensional and nonparametric models  
Megan Griffin-Pickering Professor Clement Mouhot Contributions to the derivation and well-posedness theory of kinetic equations Durham University
Fritz Hiesmayr Professor Neshan Wickramasekera   Research Assistant, University College London
Lisa Kreusser Professor Carola Schoenlieb Anisotropic nonlinear PDE models and dynamical systems in biology Nevile Research Fellow, University of Cambridge
Eardi Lila Professor John Aston

Geometric Functional Data Analysis

University of Chicago
Matthias Löffler Professor Richard Nickl Statistical inference in high-dimensional matrix models Postdoctoral Researcher, ETH Zurich
Erlend Riis Professor Carola Schoenlieb Geometric numerical integration for optimisation University of Edinburgh
Maxime Van De Moortel Dr Jonathan Luk

Charged scalar fields on Black Hole space-times

Stanford University
Mo Dick Wong Professor Nathanael Berestycki

On Gaussian Multiplicative Chaos

University of Oxford


2014 Cohort

Student Supervisor Thesis title Destination
James Bell Professor James Norris

Simulation of Diffusion Limited Aggregation Models and Related Results 


Jo Evans

Professor Clement Mouhot Deterministic and Stochastic approaches to Relaxation to Equilibrium for Particle Systems Postdoctoral Researcher, CEREMADE in University Paris Dauphine
Simone Parisotto Professor Carola Schoenlieb Research Associate, University of Cambridge DAMTP / Fitzwilliam Museum
Cambyse Rouze Dr Nilanjana Datta

Functional inequalities in quantum information theory

Mark Rowland Dr Rich Turner and Professor John Aston Structure in Machine Learning: Graphical Models and Monte Carlo Methods Research Scientist, DeepMind


2013 Cohort

Student Supervisor Thesis title Destination

Dominic Dold

Professor Mihalis Dafermos Instabilities in asymptotically AdS spacetimes  
David Driver Dr Mike Tehranchi

An Optimisation-Based approachto FKPP-Type Equations


Eavan Gleeson

Dr Jonathan Luk Linear Instability of the Reissneer-Nordstrӧm Cauchy Horizon  

Karen Habermann

Professor James Norris Geometry of sub-Riemannian diffusion processes Postdoctoral Researcher, University of Bonn
Franca Hoffmann Professor José Carillo and Professor Clement Mouhot Aggregation-diffusion Equations and Kinetic Models for Interacting Particles: Long-time Asymptotic Analysis Postdoctoral Researcher, California Institute of Technology
Adam Kashlak Professor Richard Nickl and Professor John Aston A concentration inequality based statistical methodology for inference on covariance matrices and operators Assistant Professor, University of Alberta
Harold Lim Dr David Stuart Well-posedness and scattering of the Chern-Simons-Schrödinger system  
Davide Piazzoli Professor Clement Mouhot Relaxation to equilibrium for kinetic Fokker-Planck equation  
Ellen Powell Professor Nathanael Berestycki Scaling limits of critical systems in random geometry Postdoctoral Researcher, ETH Zurich

2012 Cohort

Student Supervisor Thesis title Destination
Alex Bastounis Dr Anders Hansen

On fundamental computational barriers in the mathematics of information


Tom Begley

Professor Neshan Wickramasekera and Dr Felix Schulze A regularity theorem for stationary varifolds and an existence theorem for mean curvature flow Data Scientist, ASI Data Science, London
Helge Dietert Professor Clement Mouhot and Professor Arieh Iserles Contributions to mixing and hypocoercivity in kinetic models Postdoctoral Research Associate, PRESTIGE co-financing grant (Marie Curie Fellowship), Université Paris Diderot - Paris 7
Rob Hocking Prof Carola Schoenlieb Shell-Based Geometric Image and Video Inpainting  
Thomas Holding Professor Clement Mouhot Asymptotic behaviour and derivation of mean-field models Research Associate, University of Warwick
Henry Jackson

Professor Nathanael Berestycki

Exploring random geometry with the Gaussian free field Quantitive Analyst, Google, London
James Mathews Professor Nigel Peake

Mathematical modelling of noise generation in turbofan aeroengines using Green's functions

Research Associate on the ENOVAL project, University of Cambridge/University of Southampton
Kim Moore Dr Alexei Kovalev Deformation theory of Cayley submanifolds Postdoctoral Researcher, University College London
Parousia Rockstroh Dr Anthony Ashton

Boundary Value Problems for the Laplace Equation on Convex Domains with Analytic Boundary 

Giles Shaw Dr Filip Rindler Liftings, Young Measures, and Lower Semicontinuity Postdoctoral Research Assistant, University of Reading
Vittoria Silvestri Professor James Norris Fluctuations and mixing for planar random growth Postdoctoral Researcher, Department of Pure Mathematics and Mathematical Statistics, University of Cambridge
Tim Talbot Dr Alexei Kovalev Asymptotically cylindrical Calabi–Yau and special Lagrangian geometry Postdoctoral Researcher, ShanghaiTech, China.
Marcus Webb Professor Arieh Iserles Isospectral Algorithms, Toeplitz Matrices and Orthogonal Polynomials Postdoctoral Researcher, Department of Computer Science, KU Leuven, Belgium

2011 Cohort

Student Supervisor Thesis title Destination
Luca Calatroni Dr Carola Schoenlieb New PDE models for imaging problems and applications Experienced Researcher and Postdoctoral Fellow, University of Genova, Italy
Alberto J. Coca

Professor Richard Nickl

Efficient nonparametric estimation of discretely observed compound Poisson processes Research Associate, Department of Pure Mathematics and Mathematical Statistics, University of Cambridge
Kevin Crooks Dr Anthony Ashton Numerical Analysis of the Fokas method in two and three dimensions Consultant, HTI Labs, London
Eoin Devane Dr Ioannis Lestas Exploiting structural properties to provide stability guarantees for distributed algorithms on large-scale networks Civil Service Fast Stream Operational Researcher, National Offender Management Service, London
Milana Gataric Dr Ben Adcock and Dr Anders Hansen Nonuniform generalized sampling Research Associate in the Mathematics and Statistics of Healthcare, DPMMS, University of Cambridge
Alexander Jones Dr Daniel Holland

High resolution compressed sensing for MRI/NMR related problems

Guolong Li Professor James Norris Effect of microscopic dynamics on brownian coagulation Quantitative Analyst at Royal Bank of Scotland
Clarice Poon Dr Anders Hansen Recovery guarantees for generalized and sub-nyquist sampling Research Fellow, Peterhouse, University of Cambridge
Alberto Gil Ramos Professor Arieh Iserles

Numerical solution of Sturm--Liouville problems via Fer streamers

Research Intern, Nokia Technologies Advanced Research Lab, Cambridge, UK
Martin Taylor Professor Mihalis Dafermos The Global Nonlinear Stability of Minkowski Space for the Massless Einstein--Vlasov System Research Associate, Imperial College London
Lukas Vermach Professor Colm Caulfield Using Multiscale Norms in Nonlinear mixing Optimisation d-fine Ltd, London
Zipeng Wang Professor T Fokas

Generalized Dirichlet to Neumann map for linear evolution equations on half-line & singular integrals of non-convolution type on product spaces

Postdoctoral Researcher, McMaster University, Canada

2010 Cohort

Student Supervisor Thesis title Destination
Marc Briant Professor Clement Mouhot On the Boltzmann equation, quantitative studies and hydrodynamical limits

Postdoctorant, Laboratoire Jacques-Louis Lions at Université Pierre et Marie Curie “Paris VI”, Paris, France

Damon Civin Professor Mihalis Dafermos Stability of charged rotating black holes for linear scalar perturbations Data Scientist, ARM Holdings
Spencer Hughes Professor Neshan Wickramasekera Singularities of minimal two-valued graphs C. L. E. Moore Instructor, Department of Mathematics, Massachusetts Institute of Technology
Anastasia Kisil Professor Nigel Peake

Approximate Weiner-Hopf factorisation with stability analysis

Sultan Qaboos Research Fellowship/College Lectureship in Mathematics, Corpus Christi College, University of Cambridge
Bernd Kuhlenschmidt Dr Sumeetpal Singh On the stability of sequential Monte Carlo methods for parameter estimation Quantitative Analyst at Systematica Investments, Geneva, Switzerland
Sara Merino Professor Clement Mouhot Contributions in fractional diffusive limit and wave turbulence in kinetic theory

Research Assistant, Imperial College, London

Edward Mottram Professor Nathanael Berestycki The geometry of non-Markovian interacting systems Graduate Embedded Engineer at Cambridge Medical Robotics Ltd, Cambridge
Konstantinos Papafitsoros Dr Carola Schoenlieb

Novel higher order regularisation methods for image reconstruction

Postdoctoral researcher, Weierstrass Institute for Applied Analysis and Stochastics
Florian Pinsker Professor Natalia Berloff Excitations in superfluids of atoms and polaritons Erwin Schrödinger Fellow at University of Oxford
Kolyan Ray Professor Richard Nickl Asymptotic theory for Bayesian nonparametric procedures in inverse problems Postdoctoral Researcher, Leiden University, Netherlands
Bati Sengul Professor Nathanael Berestycki

Geometric aspects and mixing times of coalescent and fragmentation processes

Postdoctoral Researcher, University of Bath