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: Graph theory and combinatorics
Graph Theory has previously been recognized as an area of research strength within the University, and Robert Aldred now works primarily with international colleagues. His expertise is well recognized and respected internationally as is indicated by the many international collaborations developed and maintained over the twenty odd years he has worked in Graph Theory. Apart from attracting many high profile visitors to the Department Robert Aldred has been active presenting addresses at international meetings and, whenever possible, working with international colleagues overseas. Many publications have resulted from this work and ongoing projects are certain to produce more.
The study of substructures of graphs continues to be a fertile area for research and the areas of matchings, factors, paths and cycles remain of great interest internationally. The collaborative work undertaken with colleagues abroad has led to success and recognition internationally. This collaboration, especially with Vanderbilt University and The Technical University of Denmark, will continue.