- Actuarial and Financial Mathematics
- Applied Algebra and Information Theory
- Bayesian Statistics
- Computational Mathematics and High-Performance Computing
- Enumerative Combinatorics
- Functional Analysis
- Mathematics Education
- Matrix Analysis
- Number Theory
- Potential Theory
- Quantum Information and Computation
- Real Algebra
- Relativity and Mathematical Physics
- Statistical Genetics and Bioinformatics
- Statistical Modelling
- Waves, Fluids and Turbulence
Enumerative combinatorics, while primarily motivated by counting problems, concerns the study of structures and their representations that have proven useful in an enumerative context. Our interests lie in several of the main topics in enumerative combinatorics, such as permutations and their representations, partially ordered sets, theory of partitions, Young tableaux, symmetric functions and q-analogues in combinatorics, such as q-(poly)matroids, subspace designs, and invariants of codes. Another source of motivation for our work is the combinatorics that arises in number theory, coding theory and statistical physics.
Assoc Prof Eimear Byrne
Research Interests: Discrete mathematics, combinatorics, algebraic coding theory, tensors, algebra in communications
Assoc Prof Mark Dukes
Research Interests: Algebraic & enumerative combinatorics, discrete mathematics, and their use in the analysis of complex systems.
Assoc Prof Robert Osburn
Research Interests: Number Theory, Q-Series, Modular Forms.
Research interests: Combinatorics, knot theory, number theory.
Research Interests: Sandpile models on bipartite graphs.
Research interests: matroids, q-matroids, algebraic coding theory.