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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

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

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

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.

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Combinatorial optimisation

This project will focus combinatorial optimisation.

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Game Theory

This project will aim to build on research by exploring novel reinforcement learning algorithms and/or other techniques from machine learning.

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Integer Optimisation

The project aims to develop novel algebraic and geometric methods that can be successfully applied to study integer optimisation problems, with a special focus on sparsity of solutions in context of (linear or nonlinear) integer optimisation.

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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.

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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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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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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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Healthcare Modelling

The aim of this project is to develop a platform for healthcare operations management underpinning strategic, tactical and operational decisions.

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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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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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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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Problems in semiclassical analysis with an emphasis on quantum chaos

Participants in this PhD project will gain exposure to a variety of ideas from microlocal analysis and how they are used in problems initiated with the field of quantum mechanics, more specifically quantum chaos.

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Integration of genetic and functional data to identify drug targets and enhance risk prediction

Integrating brain expression and protein-protein interaction data with genomic data identified a network of immune-related genes implicated in Alzheimer’s disease (AD) susceptibility.

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Algorithms for one-dimensional bin packing problems with ordering implications

This project will focus on one-dimensional bin packing problems with ordering implications.

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Stability of fluid flows over deformed and moving surfaces

The project will focus on the stability of flows over solid surfaces with spatially and/or temporally varying deformations and motion.

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