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Mathematics PhD Projects, Programs & Scholarships in Cardiff

We have 38 Mathematics PhD Projects, Programs & Scholarships in Cardiff

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Showing 1 to 30 of 38
  Sparsity and structures in large-scale machine learning problems.
  Dr B Gauthier, Prof A Balinsky
Application Deadline: 1 December 2019

Funding Type

PhD Type

The terminology “big data” is generally used to refer to datasets that are too large or complex for traditional data-processing technics to adequately deal with them.
  Calcium and mechanics in embryogenesis: continuum and cell-based models
  Dr K Kaouri, Prof T N Phillips
Application Deadline: 1 December 2019

Funding Type

PhD Type

Background. Calcium (Ca2+) signalling and its interplay with cellular mechanics plays a crucial role in development as well as in most other body processes, but it is poorly understood.
  Combining game theory and the weak noise limit to understand spatio-temporal ecological models of animal movements.
  Dr TE Woolley, Dr V Knight
Application Deadline: 1 December 2019

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.
  Spectral Theory of Differential Operators
  Dr K M Schmidt
Application Deadline: 1 December 2019

Funding Type

PhD Type

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.
  The Influence of Compressibility on the Dynamics of Encapsulated Microbubbles
  Prof T N Phillips
Application Deadline: 1 December 2019

Funding Type

PhD Type

Thin-shell encapsulated microbubbles (EMBs) are gas-filled microbubbles encased in a stiff albumin or flexible lipid shell. They have been shown to improve the performance of biomedical procedures such as ultrasound contrast imaging, targeted drug delivery and sonoporation.
  Least Squares PGD Mimetic Spectral Element Methods for Systems of First-Order PDEs
  Prof T N Phillips
Application Deadline: 1 December 2019

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.
  Design of experiments in regression models with correlated observations
  Prof A Zhigljavsky, Dr A Pepelyshev
Application Deadline: 1 December 2019

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.
  Lie groups and twisted K-theory
  Dr U Pennig, Dr S Wood
Application Deadline: 1 December 2019

Funding Type

PhD Type

The main goal of algebraic topology is to associate algebraic structures to topological spaces that remain unchanged if the spaces are deformed continuously.
  Combinatorial optimisation, operational research, graph theory, algorithms
  Dr RMR Lewis
Application Deadline: 1 December 2019

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.
  Quantum Field Theory and Operator Algebras
  Dr G Lechner
Applications accepted all year round

Funding Type

PhD Type

The research area of this project is an operator-algebraic approach to Quantum Field Theory. Background. Quantum Field Theory (QFT) is the theoretical framework in which the physics of elementary particles can be formalised in a mathematical language.
  Holomorphic Representations of the Braid Group
  Dr G Lechner
Application Deadline: 1 December 2019

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.
  Game Theory; exploring novel reinforcement learning algorithms and/or other techniques from machine learning
  Dr V Knight
Application Deadline: 1 December 2019

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).
  Nonlinear acoustic-gravity wave theory
  Dr U Kadri
Application Deadline: 1 December 2019

Funding Type

PhD Type

In the linear theory, gravity waves are virtually decoupled from acoustic (compression) waves, because the propagation speed of acoustic waves far exceeds the maximum phase speed of gravity waves.
  Optimal tidal power generation
  Prof O Jones
Application Deadline: 1 December 2019

Funding Type

PhD Type

New developments in turbine design and construction methods for tidal barriers mean that tidal power generation is becoming more cost effective.
  Metaheuristic Methods for Probabilistic Graphical Models
  Dr D Gartner
Application Deadline: 1 December 2019

Funding Type

PhD Type

Metaheuristic Methods for Probabilistic Graphical Models. The aim of this project is to develop approaches for learning probabilistic graphical models that can be used for classification problems and to explore causal relationships between attributes.
  Stability of fluid flows over deformed and moving surfaces
  Dr C Davies
Application Deadline: 1 December 2019

Funding Type

PhD Type

The project will use a mixture of mathematical analysis and novel numerical simulation methods to investigate some fundamental features of disturbance wave development in fluid boundary-layer flows.
  Homogenisation Theory
  Dr M Cherdantsev
Application Deadline: 1 December 2019

Funding Type

PhD Type

The aim of this project is to understand the properties of composites by approximating them with “effective” (homogeneous) materials.
  Hawkes processes and financial applications
  Dr M Chen
Application Deadline: 1 December 2019

Funding Type

PhD Type

Systemic risk modelling and market microstructure utilizing Hawkes processes and dynamic network approaches. Hawkes processes are a family of stochastic models to arrival of events in which the occurrence of any event would increase the intensity of further events occurring soon after.
  Machine Learning; Data Mining
  Prof A Balinsky
Application Deadline: 1 December 2019

Funding Type

PhD Type

Deep Learning is another name for a set of algorithms that use a neural network as an architecture.
  Machine Learning for Dimension Reduction in High‐Dimensional Datasets
  Dr A Artemiou
Application Deadline: 1 December 2019

Funding Type

PhD Type

In today’s environment where computer processors are powerful and computer memory cheap, researchers are able to collect and store huge amounts of data.
  Integer Optimisation
  Dr I Aliev, Dr T Oertel
Application Deadline: 1 December 2019

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.
  Robust analysis of multivariate extreme events
  Dr K Strokorb, Prof A Zhigljavsky
Application Deadline: 1 December 2019

Funding Type

PhD Type

Being well-informed about the likely nature of future risks is of utmost importance to build a resilient infrastructure through adaptation.
  KESS2 Scholarship: Realistic CNI Cyber Security Exercising
  Dr I Wilson
Application Deadline: 20 November 2019

Funding Type

PhD Type

Here is an exciting opportunity to study a system and its associated technology which could lead to entirely new approaches in Command and Control Systems.
  KESS2 Scholarship: Visualisation for Cyber Security
  Dr I Wilson
Application Deadline: 20 November 2019

Funding Type

PhD Type

Here is an interesting opportunity to develop new and insightful visualisation and analysis techniques for cyber security and situational awareness using technology such as Virtual Reality as well enhancing your transferable knowledge and experience.
  The connectomics of Alzheimer’s risk: characterising brain temporal network dynamics in young adults at increased genetic risk for late-onset Alzheimer’s disease
  Research Group: Cognitive Neuroscience
  Dr J Zhang
Application Deadline: 25 November 2019

Funding Type

PhD Type

Using advanced imaging and novel mathematical approaches, you will identify spatio-temporal brain networks that show altered dynamics in adults with genetic risk for Alzheimer’s disease.
  Mathematical methods for scale-bridging: From interacting particle systems to differential equations
  Prof N Dirr
Applications accepted all year round

Funding Type

PhD Type

Many phenomena in the natural and social sciences can be modeled on a small (or microscopic) scale by many ’particles’ that change their state according to a random input (noise) and the state of the others, think of molecules in solution or agents in a market.
  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.
  Nonlinear PDEs (deterministic or stochastic coefficients)
  Dr F Dragoni, Prof N Dirr
Applications accepted all year round

Funding Type

PhD Type

Nonlinear PDEs (deterministic or stochastic coefficients). The project is in the area of stochastic homogenization for nonlinear PDEs (Partial Differential Equations) associated to a low regularity condition called the Hormander condition.
  Mathematical analysis - Dynamical systems and spectral theory
  Dr J Ben-Artzi
Applications accepted all year round

Funding Type

PhD Type

You will develop cutting edge techniques in the interface between pure mathematics and exciting applications, for instance, in the study of plasmas.
  Modelling of sporting events using artificial intelligence and statistical methods for big data
  Dr A Pepelyshev, Prof A Zhigljavsky
Applications accepted all year round

Funding Type

PhD Type

There are many statistical and mathematical models that can be used to predict results of sporting events such as football or tennis match.
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