Maths projects

Project III / Project IV   previous/next year

Project IV 2026-27

topic	supervisor(s)
Advanced statistical methods for high dimensional data	Reza Drikvandi
Apollonian circle packings	Anna Felikson
Applied Dynamical Systems	Andrew Krause
Automated assessment with STACK	Clare Wallace/Sam Fearn
Bayesian hierarchical modeling and analysis of spatial-temporal data	Georgios Karagiannis
Bayesian Inference for Stationary Autoregressions	Sarah Heaps
Bayesian Optimisation for Complex Models of Physical Systems	Ian Vernon
Bayesian variable selection	Darren Wilkinson
Beams, Barriers and Backpropagation	Kasper Peeters
Black Holes	Aristomenis Donos
Blood flow modelling	Mariana Pepona
Brownian Motion and Geometry	Mustazee Rahman
Calabi-Yau Manifolds: the Geometry of String Theory	Thomas Rudelius
Can we hear the shape of a drum?	Katie Gittins
Colliding kinks	Patrick Dorey
Computational topology	Jeffrey Giansiracusa
Counterfactuals for explainable machine learning	James Liley/Louis Aslett
D-Branes	Andreas Braun
Deep Learning and Generative AI	Nabil Iqbal
Diagnostic Accuracy	Tahani Coolen-Maturi
Diophantine approximation: continued fractions and beyond	Alexander Mangerel
Duality in Supersymmetric Quantum Field Theory and String Theory	Iñaki García Etxebarria
Elephant random walk: sampling from memory	Debleena Thacker
Elliptic Curves	Jack Shotton
Entropy and Information	Simon Ross
Ergodicity of Stochastic Systems	Huaizhong Zhao
Finiteness Properties of Groups	Dirk Schuetz
Fixed Point Theory	Yohance Osborne
Fractal geometry and analysis	Rhiannon Dougall
From tensor networks to holography	Steven Abel
Fully Nonlinear PDEs: Viscosity Solutions and Regularity Theory	Alpár Mészáros
Further Algebraic Number Theory	Alexander Stasinski
Further Topics in Decision Theory	Frank Coolen
Gaussian polygons	Andrew Wade
Generalized Symmetries in Quantum Field Theory	Mohamed Anber
Geometries of 3-dimensional manifolds and orbifolds	Fernando Galaz-Garcia/Raphael Zentner
Gravity as a double copy of gauge theory	Silvia Nagy
Group Theory and Physics	Paul Heslop
High-dimensional hyperbolic tilings	Pavel Tumarkin
Homeomorphisms of the Cantor Set	Gabriel Fuhrmann
How on Earth to define curvature on non-smooth spaces?	Norbert Peyerimhoff
How to Measure a Matrix: Norms vs Eigenvalues	Sabine Boegli
Introduction to Conformal Field Theory	Paul McFadden
Introduction to Reasoning in Large Language Models	Marija Zamaklar
Khovanov homology.	Andrew Lobb
Kinks, Vortices, and Monopoles	Daniele Dorigoni
Lattice QCD	Arthur Lipstein
Machine Learning, Regularization, and Heckman model	Emmanuel Ogundimu
Mathematical modelling of temperature effects	Brian Straughan
Meta Analysis of Clinical Trials	Rachel Oughton
MHD/HD instabilities	Peter Wyper
Modelling Tsunamis	Maciej Matuszewski
Models for zero-inflated count data	Jochen Einbeck
Modern Bayesian computation for stochastic dynamical systems	Andrew Golightly
Multivariate Multiple Regression	Richard Crossman
Nonlinear Expectations and Nonlinear Stochastic Calculus	Chunrong Feng
Nonstandard Analysis	Matthias Troffaes
Optimising fluid flows: finding the most effective disturbances	Hossein Kafiabad
Primes, Goldbach Conjecture and the Circle Method	Pankaj Vishe
Probabilistic AI for Regression Problems	Hailiang Du
Quaternionic Linear Algebra	John Parker
Random Graphs	Ostap Hryniv
RANDOM WALKS ON INFINITE GRAPHS AND GROUPS	Kohei Suzuki
Shapes of curves and surfaces	Ian Jermyn
Shear flow instabilities	Laura Currie
Siegel Modular Forms	Athanasios Bouganis
Slow flows: obstacles, porous media and suspensions	Adam Townsend
Spanning trees and intersection properties of random walk	Tyler Helmuth
Spiral waves in the heart	Paul Sutcliffe
Statistical Analysis of Network Data	Jonathan Cumming
Stochastic Filtering	Andrew Allan
Sub-Riemannian Geometry and Applications	Martin Kerin
The Bayesian Brain Hypothesis	Christopher Prior
The Fisher-KPP equation and branching Brownian motion	Oliver Kelsey-Tough
The Mathematics of Coexistence	Denis Patterson
The Polynomial Method	Daniel Evans
The sporadic simple groups	Jamie Mason
Topics in applied algebra: tropical linear spaces	Yue Ren
Topics in modular forms: congruences	Jens Funke
Topology and Aperiodicity	John Hunton
Tropical Curves	Daniele Turchetti
Two-dimensional Conformal Field Theory	Peter Bowcock
Uncertainty Calibration for Deep Learning Models	Cuong Nguyen
Understanding robustness of analyses through cheap alternatives	John Paul Gosling
Weather and Research Forecasting Model	Eimear Dunne
What on Earth is below us?	Bernard Piette