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.