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Mathematics PhD Projects, Programs & Scholarships in Cardiff

We have 17 Mathematics PhD Projects, Programs & Scholarships in Cardiff

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Cardiff  United Kingdom

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We have 17 Mathematics PhD Projects, Programs & Scholarships in Cardiff

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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

Beyond Bayesian Machine Learning: Self-Learning Networks from Imaging Uncertainties

  Research Group: Visual Computing
About the Project. Deep Learning (DL) algorithms have attracted extensive attention specifically in the last decade in almost all signal processing research areas. 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

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

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

Homogenisation Theory

The aim of this project is to understand the properties of composites by approximating them with “effective” (homogeneous) materials. Read more

Advancing Non-reversibility in Bayesian Networks for Time Series Prediction

  Research Group: Visual Computing
About the Project. Bayesian Sampling has been very well studied in the literature for investigating various complex time series and regression analysis problems up to date. Read more

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

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