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Name Qualification Mode Type


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

PhD, MPhil Full-time, Part-time Programme


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


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


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.


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

Biomedical Engineering

Opportunities available in the Biomedical Engineering Research Group.


Combinatorial optimisation

This project will focus combinatorial optimisation.


Interger Optimisation

This project will develop novel algebraic and geometric methods that can be successfully applied to study integer optimisation problems.


Machine learning and data mining

On this project, you'll learn several areas of IT and mathematics, including data mining, machine learning and analysis on graphs.


Spectral element mimetic least squares PGD method

The project will develop new numerical discretisations for solving PDEs that can subsequently be applied to problems in fluid mechanics and will build on current expertise in the School.


Spectral approximation

This project will deal with problems of spectral approximation for operators and operator pencils and try to identify classes of operator for which efficient spectrally inclusive algorithms can be devised.


Vertex algebras and lie theory

This is a pure mathematics project related to Lie theory and vertex algebras as well as their connection to the mathematics of conformal field theory.


Nonlinear acoustic-gravity wave theory

This project will use multiple scale analysis along with other standard mathematical techniques to derive the general solution in a three-dimensional space.


Higher order analysis and bifurcation theory

You will be expected to extend the current theory to the weakly non-linear regime and beyond.


Dynamics of bubbles rising in viscoelastic fluids

This project will develop new numerical discretisations for solving PDEs that can subsequently be applied to problems in fluid mechanics.


Metaheuristic methods for probabillistic graphical models

This project will focus on metaheuristic methods for probabillistic graphical models.


Operator algebras

The aim of this project is to construct subfactors associated to quasi-rational tensor categories and investigate their properties.


Persistent sheaf cohomology

This project is about a fairly recent development: the application of sheaf theory to topological data analysis.


Studying human neuropsychiatric disease in DLG2 deficient human neurons

This PhD project in Medicine tries to understand DLG2’s role during neural development and in mature neurons using variety of techniques.


Homogenisation of periodic problems in linear PDEs and non-linear elasticity

This project will explore ideas from mathematical analysis and differential equations which exploit modern techniques of analysis of periodic problems and deal with multi-scale analysis, dimension reduction, asymptotic approximation.


Connectivity of group C*-algebras

The goal of the project is to identify examples and counter example among the group C*-algebras of discrete torsion free amenable groups.


Coordinated movement of random fish schooling

This project aims to develop a theoretical model for three-dimensional random movement in fish schools, with the absence of a centralised coordination.


Proper general decomposition for convection-diffusion equations

This project will develop new numerical discretizations for solving PDEs that can subsequently be applied to problems in fluid mechanics.


The influence of compressibility on the dynamics of encapsulated microbubbles

This project will develop new numerical discretizations for solving PDEs that can subsequently be applied to problems in fluid mechanics.


Mathematical analysis - Dynamical systems and spectral theory

This project will develop cutting edge techniques in the interface between pure mathematics and exciting applications.