| topic | supervisor(s) |
|---|
| Algebraic Geometry | Jack Shotton |
| Applications of neural networks | Marija Zamaklar/Kasper Peeters |
| Approximate sampling algorithms and statistical mechanics | Tyler Helmuth |
| Backward SDEs and applications to financial derivatives | Chunrong Feng |
| Bayesian hierarchical modeling and analysis of spatial-temporal data | Georgios Karagiannis |
| Bayesian History Matching Applied to Stochastic Models of Covid-19 | Ian Vernon |
| Billiards and Kaleidoscopes | Anna Felikson |
| Black Hole Thermodynamics | Ruth Gregory |
| Black strings and branes | Vasileios Niarchos |
| Bratteli-Vershik diagrams and dynamics on the Cantor set | John Hunton/Gabriel Fuhrmann |
| Constraints on Massless Particles from Symmetries and Quantum Mechanics | Charlotte Sleight |
| Diagnostic Accuracy | Tahani Coolen-Maturi |
| Differential Topology | Dirk Schuetz |
| Entropy and Information | Simon Ross |
| Ergodicity of stochastic systems | Huaizhong Zhao |
| Exact Solutions for Magnetic Reconnection | Peter Wyper |
| Existence and Uniqueness of Solutions to Differential Equations | Megan Griffin-Pickering |
| Explicit calculations in number theory using computer algebra | Herbert Gangl |
| Fibre Bundles, Gauge Theory, and Gravity | Andreas Braun |
| Flat surfaces | Tom Ducat/Liviana Palmisano |
| Galois groups of local fields | Victor Abrashkin |
| Gaussian Multiplicative Chaos | Ellen Powell |
| Geometry of Metric Spaces | Fernando Galaz-Garcia |
| Group theory and Physics | Paul Heslop |
| Hidden Markov Models | Louis Aslett/Peter Craig |
| Holographic Correlators and the Wavefunction of the Universe | Arthur Lipstein |
| Hyperbolic Surfaces and the Laplace operator | Norbert Peyerimhoff/Wilhelm Klingenberg |
| Improve Long-term Prediction via Forecast Correction | Hailiang Du |
| Infinite colour urn models | Debleena Thacker |
| Interacting Particle Systems | Ostap Hryniv |
| Introduction to Conformal Field Theory | Madalena Lemos |
| Introduction to random matrices | Mustazee Rahman |
| Introduction to Supersymmetry | Stefano Cremonesi |
| Issues in utility theory | Frank Coolen/Michael Goldstein |
| Kinematic dynamos | Anthony Yeates |
| Kinks, Vortices and Monopoles | Daniele Dorigoni/Douglas Smith |
| Magnetic Skyrmions | Paul Sutcliffe |
| Mathematical Modelling of Musical Instruments | Bernard Piette |
| Mixed-effects models for the analysis of longitudinal data | Reza Drikvandi |
| Niemeier Lattices and Moonshine | Sam Fearn |
| Optimal transportation and applications | Alpár Mészáros |
| Particle suspensions in confined spaces | Adam Townsend |
| Penalized Regression | Konstantinos Perrakis |
| Principal components for image analysis | Jochen Einbeck |
| Quadratic forms, hyperbolic geometry and Oppenheim Conjecture | Pankaj Vishe |
| Quantum fields, vacuum fluctuations, and the Unruh effect | Nabil Iqbal/Patrick Dorey |
| Quasi-Exactly Solvable Models | Peter Bowcock |
| Random walks, Markov chains and martingales | Mikhail Menshikov/Nicholas Georgiou |
| Regularization, predictions, and sample selection model | Emmanuel Ogundimu |
| Shape Optimisation and Spectrum of the Laplacian | Katie Gittins |
| Siegel Modular Forms | Athanasios Bouganis |
| Square peg problems. | Andrew Lobb |
| Statistics and Data Science for Text Data | Jonathan Cumming |
| Strong-coupling duals of integrable sigma models | Ben Hoare |
| The complex harmonic oscillator | Sabine Boegli |
| The Du Val singularities | Tom Ducat |
| The heat equation and geometry | Djoko Wirosoetisno |
| The probabilistic travelling salesman | Andrew Wade |
| The Weyr canonical form and applications to matrix problems | Alexander Stasinski |
| Topics in representation theory | Jens Funke |
| Topological Solitons | Richard Ward |
| Topology and Physics | Iñaki García Etxebarria |
| Understanding the local impact of epidemics using agent-based models | Camila Caiado |
| Unification From Extra Dimensions | Aristomenis Donos |
| Wavelets, entanglement, and complexity | Christopher Prior |
| Whith a little help from noise: Random perturbations of dynamical systems | Conrado da Costa |