2023

Application of Moving Mesh Methods for the Solution of Partial Differential Equations
Student(s):
Simone Appella
Inclusion of prevalent cohorts to study the causal impact of Systemic Sclerosis on cancer
Student(s):
Eleanor Barry
Accessibility Percolation and Evolutionary Dynamics in Varying Environments
Student(s):
Thomas Bartos
Discrete Time One-Dimensional Models for Faraday Pilot Waves
Student(s):
Eileen Russell
Gauge Theory on Manifolds with Conical Asymptotic Geometry
Student(s):
Matthew Turner
Realistic constraints, model selection, and detectability of modular network structures
Student(s):
Lizhi Zhang
Generative Models for Inverse Imaging Problems
Student(s):
Margaret Duff
Stochastic optimal control for problems arising in data science
Student(s):
Marco Murtinu

2022

Optimal regularity in time and space for stochastic porous medium equations
Student(s):
Stefano Bruno
Joint modelling of longitudinal and time-to-event data applied to group sequential trials
Student(s):
Abigail Burdon
Branching Systems and Spatial Fragmentations
Student(s):
Alice Callegaro
Accelerating Bayesian inference with physics-governed likelihoods using deep learning
Student(s):
Teo Deveney
Optimising Seismic Imaging via Bilevel Learning: Theory and Algorithms
Student(s):
Shaunagh Downing
A conditional Gaussian process model for molecular property prediction and chemical discovery
Student(s):
Arron Gosnell
Asymptotic and Numerical Analysis of Wave Propagation in Thin-Structure Waveguides
Student(s):
Will Graham
Reservoir Computing with Dynamical Systems
Student(s):
Allen Hart
Asymptotics beyond-all-orders in wave-structure interactions
Student(s):
Yyanis Johnson-Llambias
Bayesian Analysis of Spatial Log-Gaussian Cox Processes
Student(s):
Nadeen Khaleel
Scale-bridging of fast-slow systems in a thermodynamical setting
Student(s):
Matthias Klar
Stochastic Mathematical Biology in Ecology and Evolution
Student(s):
Yvonne Krumbeck
Geometric Markov Chain Monte Carlo
Student(s):
Thomas Pennington
Conditioned Stable Lévy Processes
Student(s):
Tsogzolmaa Saizmaa
Branching processes with selection
Student(s):
Zsofia Talyigas

2021

Accelerating Bayesian sampling in Uncertainty Quantification
Student(s):
Gianluca Detommaso
Spatial smoothing in statistical regression models
Student(s):
Emiko Dupont
Interacting Particle Systems on Dynamic and Scale-Free Networks
Student(s):
John Fernley
Topics in random growth models
Student(s):
Tom Finn
Design Utility Methods for Preferentially-Sampled Spatial Data
Student(s):
Elizabeth Gray
Raising the Roof: Extending the Met Office's Unified Model into the Mesosphere and Lower Thermosphere
Student(s):
Matthew Griffith
Random Walks in Changing Environments
Student(s):
Andrea Lelli
Evolving random graphs in random environment
Student(s):
Bas Lodewijks
Optimising First In Human Trials
Student(s):
Lizzi Pitt
Development and Validation of a Mathematical Model for Surge in Radial Compressors
Student(s):
Kate Powers
Fast Iterative Regularisation Methods
Student(s):
Malena Sabaté Landman
Developing hybrid frameworks for modelling reaction-diffusion systems
Student(s):
Cameron Smith
Indoor propagation of radio frequency small cells : modelling the strength of electromagnetic waves
Student(s):
Hayley Wragg

2020

Efficient elliptic solvers for higher order DG discretisations on modern architectures and applications in atmospheric modelling
Student(s):
Jack Betteridge
Control of Soil Transmitted Helmiths
Student(s):
Quinn Boulton
Euclidean Field Theories in 3D: Nonlinear Wave Equations and Phase Transitions
Student(s):
Trishen Gunaratnam
Dynamics and interactions of infections on networks
Student(s):
Sam Moore
A conceptual model of climate change using dynamical systems theory
Student(s):
Kgomotso Morupisi
A Variational Approach to Constructing Diffusion Processes in Metric Spaces
Student(s):
Daniel Ng
Optimal Decision Making in Drug Development
Student(s):
Robbie Peck
The Helmholtz Equation in Heterogeneous and Random Media: Analysis and Numerics
Student(s):
Owen Pembery
Automatic scoring of X-rays in Psoriatic Arthritis
Student(s):
Adwaye Rambojun
Stochastic control problems for multidimensional martingales
Student(s):
Ben Robinson
Competing growth processes with applications to networks
Student(s):
Anna Senkevich
Statistical Modelling for Quantitative Risk Analysis
Student(s):
Sebastian Stolze
Combining Information from Multiple Sources: Global Modelling of Air Pollution
Student(s):
Matt Thomas

2019

Attribution of large-scale drivers for environmental change
Student(s):
Aoibheann Brady
Modelling regularisation, and analysis of Dean-Kawasaki type equations
Student(s):
Federico Cornalba
SDEs for embedded successful genealogies
Student(s):
Dorottya Fekete
Stochastic Analysis of the Neutron Transport Equation
Student(s):
Emma Horton
Distributed optimisation of LTE systems
Student(s):
Amy Middleton

2018

Faraday wave-droplet dynamics : a hydrodynamic quantum analogue
Student(s):
Matt Durey
Variational structures for dynamical fluctuations, in and out of equilibrium
Student(s):
Marcus Kaiser
Uncertainty quantification in radiative transport
Student(s):
Matthew Parkinson