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Cardiff University, Cardiff School of Mathematics PhD Projects, Programs & Scholarships

We have 33 Cardiff University, Cardiff School of Mathematics PhD Projects, Programs & Scholarships

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  Combinatorial optimisation, operational research, graph theory, algorithms
  Dr RMR Lewis
Applications accepted all year round

Funding Type

PhD Type

In this project you will learn about different methods for tackling combinatorial optimisation problems using both exact and approximate (heuristic) algorithms.
  Combinatorics
  Dr R Behrend
Applications accepted all year round

Funding Type

PhD Type

You will develop knowledge and skills in several general areas of algebraic, geometric and enumerative combinatorics, including polytope theory, poset theory and symmetric function theory.
  Combining game theory and the weak noise limit to understand spatio-temporal ecological models of animal movements.
  Dr TE Woolley, Dr V Knight
Applications accepted all year round

Funding Type

PhD Type

The project seeks to bring together two different but complementary fields of mathematics in order to extract further understanding from each.
  Coordinated movement of random fish schooling
  Dr U Kadri
Applications accepted all year round

Funding Type

PhD Type

One of the most highly debated questions in the field of animal swarming and social behaviour, is the collective random patterns and chaotic behaviour formed by some animal species, in particular fish schooling.
  Design of experiments in regression models with correlated observations
  Prof A Zhigljavsky, Dr A Pepelyshev
Applications accepted all year round

Funding Type

PhD Type

The design of experiments is an area of mathematical sciences which has direct economic impact. Optimal designs allow saving time, materials and other resources.
  Development of a platform for healthcare operations management underpinning strategic, tactical and operational decisions
  Dr D Gartner
Applications accepted all year round

Funding Type

PhD Type

A graphical user interface will be developed in close collaboration with NHS practitioners (physicians, nurses and managers) to support decision making.
  EPSRC DTP studentship in Least Squares PGD Mimetic Spectral Element Methods for Systems of First-Order PDEs
  Prof T N Phillips, Dr Z Dong
Application Deadline: 30 April 2020

Funding Type

PhD Type

Many mathematical models that describe problems in science and engineering are defined in high dimensional spaces.
  Game Theory; exploring novel reinforcement learning algorithms and/or other techniques from machine learning
  Dr V Knight
Applications accepted all year round

Funding Type

PhD Type

This project will aim to build on research by exploring novel reinforcement learning algorithms and/or other techniques from machine learning (such as deep learning).
  Generative Adversarial Networks for Rare Event Augmentation
  Prof O Jones, Dr V Knight
Applications accepted all year round

Funding Type

PhD Type

This project will produce synthetic data generation methods for creating synthetic data in data-limited situations, allowing the user to subsequently apply modern data intensive techniques, and hence make better decisions.
  Holomorphic Representations of the Braid Group
  Dr G Lechner
Applications accepted all year round

Funding Type

PhD Type

The braid group can be intuitively understood as the collection of a finite number of strands with all possibilities of "braiding" them, and consecutive braiding as the group operation.
  Homogenisation Theory
  Dr M Cherdantsev
Applications accepted all year round

Funding Type

PhD Type

The aim of this project is to understand the properties of composites by approximating them with “effective” (homogeneous) materials.
  Integer Optimisation
  Dr I Aliev, Dr T Oertel
Applications accepted all year round

Funding Type

PhD Type

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.
  Interface evolution in random environment
  Prof N Dirr
Applications accepted all year round

Funding Type

PhD Type

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.
  Least Squares PGD Mimetic Spectral Element Methods for Systems of First-Order PDEs
  Prof T N Phillips
Applications accepted all year round

Funding Type

PhD Type

The goal of the project will be to develop a least squares PGD mimetic spectral element method for the Stokes problem. There will be theoretical and computational aspects to this strand of the research.
  Low rank approximations of matrices with a focus on statistical applications
  Dr JW Gillard, Prof A Zhigljavsky
Applications accepted all year round

Funding Type

PhD Type

This proposal will investigate the structured low-rank approximation (SLRA) problem. Broadly speaking, this work will involve a synergy of statistics, linear algebra and optimisation, and has relevance to problems in other disciplines.
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