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Name Qualification Mode Type

Mathematics

The School of Mathematics offers an exceptionally wide range of opportunities for postgraduate studies in mathematics.

PhD, MPhil Full-time, Part-time Programme

Medicine

The School of Medicine offers research degrees in the medical disciplines such as cancer, immunology, infection, immunity, neurosciences, mental health and population medicine.

PhD, MPhil, MD Full-time, Part-time Programme

Pure Mathematics

Research in this area spans: Ordinary and partial differential equations; Functional analysis; Analytical and computational spectral theory; Quantum mechanics; Number theory and its applications; Mathematical physics; Operator algebras; Algebraic geometry.

PhD, MPhil Full-time, Part-time Area

Engineering

We offer a 3 year PhD programme, a 4 year integrated PhD programme, an EngD programme, and a 1 year MPhil degree programme.

PhD, MPhil, EngD Full-time, Part-time Programme

Applied Mathematics

Research in this area spans: Wave propagation in inhomogeneous media; Homogenisation; Fluid mechanics; Structural and solid mechanics; Numerical analysis and scientific computing; Applied mathematical modelling; Memory effects; Inverse problems; Integral transforms.

PhD, MPhil Full-time, Part-time Area

Engineering: Energy and Environment

One of the School’s three research themes is that of Energy and Environment, which aims to advance energy technology and play a key role in addressing the increasing demand for sustainable and low carbon technologies, while reducing environmental impact and ensuring a sustainable environment.

PhD, MPhil, EngD Full-time, Part-time Area

Combinatorics

This project will develop knowledge and skills in several general areas of algebraic, geometric and enumerative combinatorics, including polytope theory, poset theory and symmetric function theory.

Project

Wireless and Microwave Communication Engineering (MRes)

This MRes course aims to provide you with and excellent platform for career development, whether that be within industry or academic research.

MRes Full-time Programme

Engineering: Mechanics, Materials and Advanced Manufacturing

The wide ranging research theme of Mechanics, Materials and Advanced Manufacturing incorporates cutting edge research which fosters innovation and sustainability, supports social and economic development, and contributes to improvements in health and quality of life by ensuring the safety and best performance of materials and structures.

PhD, MPhil, EngD Full-time, Part-time Area

Engineering: Health, Technology and the Digital World

The Health, Technology, and the Digital World research theme provides a framework for the research undertaken in the fields of High Frequency Communications Engineering and Medical Engineering, Medical Physics, and Medical Electronics. The combination of these disciplines allows for a truly innovative approach and enables exciting new solutions for the security, healthcare and medical requirements of a modern society.

PhD, MPhil, EngD Full-time, Part-time Area

Nonlinear acoustic-gravity wave theory

This project focuses on the recent finding that acoustic and gravity wave motion could exchange energy via resonant triad nonlinear interactions.

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Early detection of tsunami by acoustic-gravity waves

This project will develop various mathematical techniques and methods, with a focus on perturbation methods, asymptotic analysis, and separation of variables, to solve the general wave equation for a three-dimensional space.

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Holomorphic Representations of the Braid Group

This project will deal with certain ‘holomorphic’ representations of braid groups and study the dependence on an underlying ‘R-matrix’.

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Spectral Theory of Differential Operators

Spectral Theory of Differential Operators is characterised by a combination of functional and harmonic analysis with classical real and complex analysis, special functions and the asymptotic analysis of differential equations.

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On multi-dimensional continued fractions

This project will establish analytic bounds for the accuracy of the convergents for the multi-dimensional continued fraction algorithm.

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Interface evolution in random environment

The main goal of this project is to develop mathematical methods for the mathematically rigorous analysis of the properties of interfaces evolving in a heterogeneous, random environment, described on a small scale by nonlinear PDEs with random coefficients.

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Natural Flood Processes for Flood Risk Management

This project aims to develop a novel methodology to assess the effectiveness of Natural Flood Management (NFM) interventions at catchment reach levels.

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Modelling of sporting events using artificial intelligence and statistical methods for big data

This project aims at systematizing and comparing different models and applying them for predicting outcomes of different sporting events

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Radiation of acoustic-gravity waves by an impacting object

This PhD project will focus on developing the computational mathematical model into a three-dimensional space.

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Hawkes processes and financial applications

This project aims to answer novel but cutting edge questions, such as convergence of multivariate Hawkes processes, forecasting ability of incorporating Hawkes processes into various risk modelling and calibration of them.

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Combinatorial optimisation, operational research, graph theory, algorithms

In this project you will learn about different methods for tackling combinatorial optimisation problems using both exact and approximate (heuristic) algorithms.

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Categorification of generalised braids

This project will work either on further developing the currently in-demand theories of spherical and P-functors, or on computing our first examples of Grassmanian functors.

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Advanced Materials and Computational Mechanics

Opportunities available within the field of Materials, and Advanced and Computational Mechanics.

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Lie groups and twisted K-theory

This project deals with the computation of the characteristic classes of these twists in rational cohomology.

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Design of experiments in regression models with correlated observations

This project is interdisciplinary in nature and will include elements of theoretical probability and applied statistics.

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Low rank approximations of matrices with a focus on statistical applications

This project will investigate the structured low-rank approximation (SLRA) problem.

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Spectral approximation on metric graphs, on manifolds, and for systems of differential equations

This project will focus on the spectral approximation on metric graphs, on manifolds, and for systems of differential equations.

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Biomedical Engineering

Opportunities available in the Biomedical Engineering Research Group.

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Remote control of gas-liquid flow in horizontal pipelines

This project will further develop existing mathematical models for the co-current gas/liquid flow in horizontal pipes.

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Optimal tidal power generation

The aim of this project is to develop a statistical model for the error between the slow but accurate numerical model for water height, and the fast but inaccurate model.

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