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Cardiff University, Cardiff School of Mathematics PhD Projects, Programs & Scholarships
We have 14 Cardiff University, Cardiff School of Mathematics PhD Projects, Programs & Scholarships
We have 14 Cardiff University, Cardiff School of Mathematics PhD Projects, Programs & Scholarships
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Dynamics of bubbles rising in viscoelastic fluids
The student will learn about different methods for discretising partial differential equations and iterative methods for solving the resulting systems of algebraic equations. Read more
Risky asset models with dependence and heavy-tailed distributions
It is now generally accepted that heavy-tailed distributions occur commonly in practice. Their use is now widespread in communication network, risky asset and insurance modelling. Read more
Statistical inference for entropy, divergences and Rényi information
Entropy and divergence (Shannon and Kullback-Leibler) estimation is a central problem in image processing, with many applications for image compression, segmentation, calibration, registration, etc. Read more
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. Read more
Operator algebras
A group acting outerly on a hyperfinite II1 factor can be recovered from the inclusion of its fixed point algebra. A general subfactor encodes a more sophisticated symmetry, including but going beyond quantum groups. Read more
Micro- and nano-scale statistical properties of rough engineering surfaces and their tribological properties
The proposed studies will create databases of surface roughness of various engineering surfaces at different scales. atomic, nano- and micro-scales. Read more
Nonlinear PDEs (deterministic or stochastic coefficients)
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. Read more
Mathematical methods for scale-bridging: From interacting particle systems to differential equations
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. Read more
Mathematical analysis - Dynamical systems and spectral theory
You will develop cutting edge techniques in the interface between pure mathematics and exciting applications, for instance, in the study of plasmas. Read more
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. Read more
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. Read more
Game Theory; exploring novel reinforcement learning algorithms and/or other techniques from machine learning
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). Read more
Homogenisation Theory
The aim of this project is to understand the properties of composites by approximating them with “effective” (homogeneous) materials. Read more
Machine Learning for Dimension Reduction in High‐Dimensional Datasets
In today’s environment where computer processors are powerful and computer memory cheap, researchers are able to collect and store huge amounts of data. Read more
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