Mathematics

Overview

Mathematics research at the University of Chester is undertaken by an enthusiastic and successful group of academic staff and their students. We would be glad to hear from potential students who would like to study for a PhD or MPhil in the area of Mathematics.

The research work of the Mathematics team of the University has been widely recognised. In the UK-wide Research Assessment Exercise (RAE 2008), work of international excellence formed a significant part of the activity under review. Grant awards to members of the Department’s staff included three grants from the Leverhulme Trust as well as grants from the British Council, the Royal Society and other leading funding agencies. 

Research Areas

Applications are welcomed from able mathematicians who are willing to work hard within their chosen research project. 

We are able to supervise projects that have either a theoretical or a practical focus and we would be happy to help you to develop a plan for your project.  The main requirements are an enthusiasm to engage with the project, a willingness to learn and apply new techniques, and a careful approach to documenting progress and reporting on results.

Research areas of academic staff include:

• Broad research interests throughout group theory, algebra and combinatorics, both theoretic and computational. In particular: group theory, particularly finite group theory, often using the action of a group on interesting combinatorial, geometric, or algebraic objects to study the structure of the group, or the object it acts on; and non-associative algebras, particularly axial algebras, which are a class of algebra with a strong natural link to group theory and mathematical physics.
• Nonlinear and Stochastic Partial Differential Equations from phase transitions, and wave propagation, Stefan problems.
• Numerical solution of Partial Differential Equations and Stochastic Differential Equations. 
• Numerical methods for fractional differential equation and subdiffusion and superdiffsion problems. Numerical methods for stochastic time fractional Allen-Cahn equations driven by fractional noise with Hurst parameter H \in (0, 1) which are very useful models from finance, stock market, etc. 
• Numerical methods for stochastic integral-differential equation.  

Recent Projects

Recent projects have included topics such as mathematical immunology, the application and numerical solution of fractional differential equations and distributed order equations, modelling biodiversity in the arctic, and studies of bifurcation behaviour and oscillations for stochastic and deterministic equations of delay or mixed type. Currently, one student is also working on the development of parallel algorithms for solution of fractional differential equations.

Contact

Please contact the Mathematics team to discuss the availability of appropriate supervision before you start to construct a detailed application.

We are always happy to hear from potential visitors, collaborators and post-doctoral fellows who would like to work with us.