Maths projects

Project III / Project IV   previous/next year

Project IV 2024-25

topic	supervisor(s)
Advanced Topics in Analytic Number Theory	Alexander Mangerel/Pankaj Vishe
Advances in Applied Algebra - Tropical Geometry and Polynomial System Solving	Yue Ren
Analysis of Boolean functions	Mo Dick Wong
Axiomatic Set Theory	Gabriel Fuhrmann
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 for regression models	Konstantinos Perrakis
Bayes' rule is wrong (The Borel-Kolmogorov paradox)	James Liley
Beyond mean regression	Jochen Einbeck
Biological filament bundles	Christopher Prior
Calabi-Yau Manifolds: the Geometry of String Theory	Thomas Rudelius
Can we hear the shape of a drum?	Katie Gittins
Colliding kinks	Patrick Dorey
Commutative Rings	Jack Shotton
Complex Patterns via Topology	John Hunton
Constrained Hamiltonian Mechanics	Peter Bowcock
D-Branes	Andreas Braun
Diagnostic Accuracy	Tahani Coolen-Maturi
Differential Forms, Integration and de Rham Cohomology	Martin Kerin
Divisors on curves and graphs	Daniele Turchetti
Dynamics and Stability of the Solar System	Djoko Wirosoetisno
Entropy and Information	Simon Ross
Epidemics on Networks	Nicholas Georgiou
Evaluate Probabilistic Forecast via Scoring Rules	Hailiang Du
Explicit calculations in number theory using computer algebra	Herbert Gangl
Firth Penalized Regression	Emmanuel Ogundimu
Fluid flow through obstacles: Stokes, Darcy and Brinkman flows	Adam Townsend
Following the chemical trail	Mariana Pepona
Further Topics in Decision Theory	Frank Coolen
Galois groups of local fields	Victor Abrashkin
Geometric methods in data science: Manifold learning and Diffusion maps	Jeffrey Giansiracusa
Graphs and Geometry	Norbert Peyerimhoff
Gravity as a double copy of gauge theory	Silvia Nagy
Group Theory and Physics	Paul Heslop
Interacting Particle Systems	Ostap Hryniv
Internal diffusion limited aggregation and other related topics	Debleena Thacker
Introduction to random matrices	Mustazee Rahman/Kohei Suzuki
Irrationality and Transcendence	Daniel Evans
Khovanov homology.	Andrew Lobb/Raphael Zentner
Lens spaces and Reidemeister torsion	Raphael Zentner/Andrew Lobb
Machine Learning Methods in Generalised Linear Models	Cuong Nguyen
Magnetic Skyrmions	Paul Sutcliffe
Mathematical modeling of the ocean with Oceananigans	Hossein Kafiabad
Mathematical modelling of bad(?) behaviour	Brian Straughan
Mathematical Modelling of Musical Instruments	Bernard Piette
Meta Analysis of Clinical Trials	Rachel Oughton
Modern Bayesian computation for stochastic dynamical systems	Andrew Golightly
Morse Theory	Dirk Schuetz/Raphael Zentner
Multiple Response Regression	Richard Crossman
Nonlinear expectations	Chunrong Feng
Numerical Bifurcation Analysis of Complex Systems	Andrew Krause/Denis Patterson
Privacy and Confidentiality in Statistics	Louis Aslett
Quantum Computing for Quantum Mechanics and Quantum Field Theory	Steven Abel
Reduced models in fluid dynamics	Laura Currie
Regularisation approaches for high dimensional data	Reza Drikvandi
Reinforcement Learning	Matthias Troffaes/Andrew Wade
Root systems and semisimple Lie Algebras	Alexander Stasinski
Rough Path Theory	Andrew Allan
Scattering Amplitudes and Flat Space Holograms	Arthur Lipstein
Siegel Modular Forms	Athanasios Bouganis
Six degrees of Kevin Bacon	Clare Wallace
Statistical applications of the Potts model	Darren Wilkinson
Statistics for network data	Jonathan Cumming
Supersymmetry	Stefano Cremonesi
Supersymmetry and generalized symmetries	Mohamed Anber
Symmetries and particles	Madalena Lemos
Tensor Renormalisation Group	Tyler Helmuth
The Earth and Earthquakes	Maciej Matuszewski
Toeplitz matrices	Sabine Boegli
Topics in Analysis and Geometry	Wilhelm Klingenberg
Topics in Real Analysis	Amit Einav
Topology and Physics	Iñaki García Etxebarria
Understanding robustness of analyses through cheap alternatives	John Paul Gosling
Wavelets	Ian Jermyn
Weighted Riemannian Geometry	Fernando Galaz-Garcia