Maths projects

Project III / Project IV   previous/next year

Project IV 2022-23

topic	supervisor(s)
Advanced topics in Analytic Number Theory	Pankaj Vishe
Advanced topics in Complex Analysis	Gabriel Fuhrmann/Sabine Boegli
Aid nonlinear dynamical system modelling with Machine Learning	Hailiang Du
Application of neural networks in visual and language tasks	Marija Zamaklar
Bayesian inference for hidden Markov models	Sarah Heaps
Bayesian Statistics in the Era of Machine Learning	Konstantinos Perrakis
Beyond Classical Solutions to Partial Differential Equations	Amit Einav/Alpár Mészáros
Biomarker guided adaptive design	Emmanuel Ogundimu
Can we hear the shape of a drum?	Katie Gittins
Change point detection	Rachel Oughton
Computation of Bayesian Evidence	Konstantinos Perrakis
Credal Classification	Matthias Troffaes
Critical phenomena and conformal field theory	Parijat Dey
Diagnostic Accuracy	Tahani Coolen-Maturi
Directed polymers and disordered systems	Mo Dick Wong
Dynamics and Stability of the Solar System	Djoko Wirosoetisno
Elementary proofs of the Prime Number Theorem	Alexander Mangerel
Entropy and Information	Simon Ross
Epidemics on Networks	Nicholas Georgiou
Finite groups of Lie type and their representations	Alexander Stasinski
Further investigations in solitons	Paul Heslop
Geometric Group Theory	Rhiannon Dougall
Geometry and Spectra of Typical Graphs	Michael Magee/Joe Thomas
Graphical Models in Multivariate Statistics	Jonathan Cumming
Gravitational waves	Anne Taormina
Hele-shaw fingering: Connections in random growth models.	Debleena Thacker/Conrado da Costa
High-dimensional hyperbolic tilings	Pavel Tumarkin
Hydrodynamic Instabilities	Laura Currie
Hyperbolic elastic shells	Christopher Prior
Introduction to Conformal Field Theory	Madalena Lemos
Introduction to Random Matrices	Mustazee Rahman
Introduction to supersymmetry	Stefano Cremonesi
Irrationality and Transcendence	Daniel Evans
Kinematic Magnetic Reconnection	Peter Wyper
Magnetic relaxation	Anthony Yeates
Magnetic Skyrmions	Paul Sutcliffe
Making Decisions	Michael Goldstein
Modelling fluid flows through porous media	Mariana Pepona
Modelling Plant Growth: Known Boundary Emulation	Sam Jackson
More is Different - The Mathematics of Equilibrium Statistical Mechanics	Tyler Helmuth/Ostap Hryniv
Morse Theory	Dirk Schuetz
Niemeier Lattices and Moonshine	Sam Fearn
Noncompact surfaces	Fernando Galaz-Garcia
Non-crossing Partitions	Anna Felikson
Nonlinear expectations	Chunrong Feng
Nonperturbative solutions of Yang-Mills equations and applications	Mohamed Anber
Non-traditional constitutive laws in fluid mechanics and biology	Adam Townsend
Numerical Bifurcation Analysis of Complex Systems	Andrew Krause
Parallel High-Order ODE Solver	Hossein Kafiabad
Percolation	Mikhail Menshikov
Physics Informed Neural Networks	Kasper Peeters
Quantum fields, vacuum fluctuations, and the Unruh effect	Nabil Iqbal
Quantum Gravity as a Hologram	Charlotte Sleight
Quantum Solitons	Peter Bowcock
Random parking	Andrew Wade
Rough Path Theory	Andrew Allan
Shape Modelling	Ian Jermyn
Siegel Modular Forms	Athanasios Bouganis
Simulation of conditioned diffusion processes	Andrew Golightly
Solitons in cellular automata	Jeffrey Giansiracusa
The Du Val singularities	Tom Ducat
The finite Weil representation	Jens Funke
The Fundamental Group and 'Interesting' Spaces	John Hunton
Thermal Convection	Brian Straughan
Topics in Analysis	Wilhelm Klingenberg
Topological Quantum Computing	Douglas Smith
Topology and Physics	Iñaki García Etxebarria
Understanding robustness of analyses through cheap alternatives	John Paul Gosling
Unification From Extra Dimensions	Andreas Braun
Utility	Frank Coolen
What on Earth is below us?	Bernard Piette