Research

Significant research is being carried out in the Department in these areas of Mathematics:

• Algebraic combinatorics
• Graph theory and combinatorics
• Mathematical and computational relativity
• Mathematics of evolutionary biology
• Numerical analysis and uncertainty quantification
• Point patterns and processes
• Quantitative Genetics
• Semiclassical and harmonic analysis
• Stochastic integro-differential equations and their applications
• Waves

Research group: Waves

The research conducted in this group is focused on modelling wave scattering in regular and disordered media. The main application concerns the propagation of ocean waves in ice-covered polar seas characterised by random and variable conditions in both the wave and ice properties. A range of mathematical techniques are used to model this phenomenon, such as integral equation/Galerkin technique, multiple scattering theory, domain decomposition methods, ensemble averaging and generalised polynomial chaos. The group is led by Vernon Squire and Fabien Montiel who are co-supervising PhD student Johannes Mosig. Fabien Montiel is further involved in projects investigating acoustic wave attenuation by sonic crystal barriers and ocean wave energy extraction by wave energy farms.