Research themes

There are five closely linked themes each with a manager and a team of researchers. Please click on the links below to see an overview of the theme and to find out more about current research highlights amd progress in complexity.

A - Modelling and analysis of multi-scale problems
	Development of fundamental tools in high-contrast homogenisation, harmonic analysis and asymptotics to study the structure of multi-scale systems. Applying these to problems in wave diffraction, photonic crystals, singular domains and visco-elasticity.
B - Structure of biological populations
	Modelling and simulating of complex structured biological populations using network models. Applications of these models to study disease and social animals.
C - Deterministic properties of highly disordered systems
	Complex composite materials have emergent power law behaviour. We use network models to simulate these and random matrix theory to explain them.
D - Numerical methods for multi-scale problems
	Multi-scale methods are used to construct fast numerical solvers for discrete PDEs via domain decomposition. Applications of these methods are made in the numerical simulation of photonic crystals, diffusion in heterogeneous media.
E - Highly structured stochastic systems
	Studies of stochastic and data driven complex systems including pathogenetic population modelling, ionospheric mapping and probabilistic techniques in population genetics and pollution modelling.