Search research programmes

Filter results

1-30 of 135 search results

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

Operational Research

Research in this area spans: Modelling of traffic flow; Healthcare modelling; Modelling of the spread of infectious diseases; Queueing theory; Scheduling and timetabling problems; Metaheuristics; Discrete optimisation.

PhD, MPhil Full-time, Part-time Area

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

Accounting and Finance

The Accounting and Finance Section at Cardiff Business School has an established and expanding worldwide reputation for conducting high quality theoretical and empirical research in accounting and finance and related fields.

PhD Full-time, Part-time Area

Physics and Astronomy

The wide range of expertise within the School of Physics and Astronomy enables the School to offer a variety of opportunities for higher degrees by research.

PhD, MPhil Full-time, Part-time Programme

Probability and Statistics

Research in this area spans: Multivariate statistical analysis; Time series analysis; Statistical modelling in market research; Optimal experimental design; Stochastic global optimisation; Change point detection; Probabilistic methods in search and number theory; Fisheries; Medical statistics; Random fields; Mathematical finance.

PhD, MPhil 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.


Machine Learning; Data Mining

This project will focus on the interaction between mathematics and neuroscience and applications of deep learning to medical data.


Hawkes processes and financial applications

This project aims to answer novel but cutting edge questions in multivariate Hawkes processes.


Spectral theory of differential operators

Research on this theme 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.


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.


The Mathematics of Conformal Field Theory

The core of this project will explore the mathematical structure of conformal field theory.


Perovskite Photonics

This project will develop an approach to synthesize/fabricate perovskite nanostructures with control on their size (at the nanometre scale), shape and position using a technique known as ‘atomic-layer-deposition’


Numerical simulations of black-hole binaries

Numerical simulations of black-hole binaries.


Majorana Fermions

Through electrical study this project will explore state-of-the-art Indium Antimonide (InSb) based quantum well heterostructures that have the largest SOC of all the compound semiconductors, and investigate MZM formation at the interface with superconducting material.


InSb Quantum Electronics

This project will be investigating the technology for an electric field controlled, spin-based qubit made from indium antimonide (InSb) and half metallic alloys.


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.


Holomorphic Representations of the Braid Group

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


Energy Harvesting for Autonomous Systems

A key part of the vision of the Internet of Things is the large number of autonomous sensors relaying information back through the web.


Data mining at the South Galactic Pole

Automated methods of extracting the properties of millions of galaxies from survey data and identifying new classes of rare objects.


Metaheuristic methods for probabilistic graphical models

This project will aim to develop approaches for learning probabilistic graphical models that can be used for classification problems and to explore causal relationships between attributes.


On multi-dimensional continued fractions

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


Operator algebras and noncommutative geometry

This project focuses on operator algebras and noncommutative geometry.


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.


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


Automated Searches for Ultra-Diffuse Emission from Stars

We are particularly interested in the fraction of stars that lie outside of easily recognised galactic structures as a means of tracing the assembly history of dark matter haloes of various masses.


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.


Revealing Astronomical and Archaeological Information from Satellite Imaging Data (AA - Reveal)

The proposed project is to look at the further development of the astronomical software and to particularly consider its application to archaeological surveys.