Maths projects

Project III / Project IV   previous/next year

Project III 2023-24

topic	supervisor(s)
Analysis meets Number Theory	Pankaj Vishe
A solvable sector of gauge theory	Silvia Nagy
Attention is all you need	Marija Zamaklar
Attention is all you need	Steven Abel
Automatic sequences in number theory and beyond	Gabriel Fuhrmann
Bayesian Emulation and History Matching for Complex Models	Ian Vernon
Bayesian inference for hidden Markov models	Sarah Heaps
Black Hole Lensing	Richard Ward
Bootstrap	Tahani Coolen-Maturi
Catalan numbers	Pavel Tumarkin
Contact geometry and intergalactic jets	Christopher Prior
Continued fractions and Diophantine approximation	Sam Edwards
Convex Analysis	Katie Gittins/Amit Einav
Covid 19	Bernard Piette
Critical phenomena and conformal field theory	Parijat Dey
Cyclotomic Polynomials	Jack Shotton
Diophantine equations	Herbert Gangl
Does the Jones polynomial detect the unknot?	Claudius Zibrowius
Domino tilings of the Aztec diamond	Ostap Hryniv
Einstein's Theory of General Relativity	Madalena Lemos/Simon Ross
Factor Analysis	Sarah Heaps
Fast and efficient Bayesian inference for epidemic models	Andrew Golightly
Finding pi in unexpected places	Patrick Dorey
Finiteness Properties of Groups	Dirk Schuetz
Forecast Interpretation and Evaluation	Hailiang Du
Fourier series and Applications	Wilhelm Klingenberg
Fractal boundaries of mixed liquids and spreading patterns	Peter Wyper/Adam Townsend
From shortest paths to soap bubbles: a journey through calculus of variations	Alpár Mészáros
Further Elementary Number Theory	Alexander Stasinski
Games and Codes	Sam Fearn
Geometric construtions	Anna Felikson
Green's functions for heavy-tailed random walks on integer lattice	Debleena Thacker
How do we learn maths?	Clare Wallace/Richard Crossman
How do we learn maths?	Richard Crossman/Clare Wallace
How long is the wait for the next Bus?	Conrado da Costa
Inflation	Mohamed Anber
Innovative designs for randomised trials	James Liley
Interstellar	Kasper Peeters
Lattices	Andreas Braun
Linkages	Dirk Schuetz
Machine Learning for classification and clustering; methods & applications	Georgios Karagiannis
Markov Chain Mixing Times	Tyler Helmuth
Matrix models	Iñaki García Etxebarria
Matroids	Jeffrey Giansiracusa
Modelling the impact of policy change on the customer journey for originating secured business loans	Camila Caiado
Non-archimedean analysis	Victor Abrashkin
Numbers and Number Systems	Norbert Peyerimhoff
Numerical simulation of stochastic differential equations	Hossein Kafiabad
Optimal transport and its applications	Kohei Suzuki
Path-integral and Instantons in Quantum Mechanics	Daniele Dorigoni/Paul Heslop
Penalised Regression Methods	Konstantinos Perrakis
Permutations	Mustazee Rahman
Points on a sphere	Paul Sutcliffe
Primes, Polynomials and Polynomial Time	Daniel Evans
Probability bounding methods for spam filtering	Matthias Troffaes
Random convex hulls	Andrew Wade
Random triangles and polygons	Martin Kerin
Random walks and electrical networks	Mo Dick Wong/Nicholas Georgiou
Regularisation and Sparsity	Frank Coolen/Louis Aslett
Regularisation methods for high dimensional data	Reza Drikvandi
Relativistic Field Theories of Massless Particles	Charlotte Sleight
Riemann surfaces	Raphael Zentner
Sample size calculation	Jochen Einbeck
Shape Analysis	Ian Jermyn
Simulating Dynamical Systems on Complex Domains	Andrew Krause
Solitaire army	Anthony Yeates
Space Travel and Spacecraft Trajectories	Maciej Matuszewski
Spectrahedra	Anne Taormina
Spectral Methods	Laura Currie
Statistical Learning and Classification	Jonathan Cumming
Statistical Mechanics	Nabil Iqbal/Stefano Cremonesi
Stochastic modelling for systems biology	Darren Wilkinson
Stochastic Optimal Control	Andrew Allan
The arithmetic of polynomials over finite fields	Alexander Mangerel
The finite difference method for solving partial differential equations	Mariana Pepona
The Gromov-Hausdorff Distance and Applications	Fernando Galaz-Garcia
The numerical range of a matrix	Sabine Boegli
The Poincare conjecture	Andrew Lobb
The von Neumann-Day Problem	Rhiannon Dougall
Time series analysis	Rachel Oughton
Topics in Error-Correcting Codes	Athanasios Bouganis
Wavefunction of the Universe	Arthur Lipstein