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
Research group: Numerical analysis and uncertainty quantification
Numerical analysis is the study of algorithms for approximating solutions to hard mathematical problems. Such difficult problems appear in all manner of applications including weather prediction, climate modelling, yacht design, financial modelling, insurance and oil exploration... to mention but a few!
Uncertainty quantification is the science of understanding and reducing uncertainties in computational and real world applications, particularly when aspects of the problem are not exactly known.
Richard Norton applies techniques from numerical analysis to uncertainty quantification and computational statistics problems, such as sampling from complicated probability distributions, and collaborates with colleagues in Electronics.