Department of Computing, Security & Mathematics
Programmes Available for Supervision:
| PhD |
Research Interests:
My research centres on the interface of combinatorics and topology. I am especially interested in the ways in which combinatorial and topological structures can be encoded in one another. Recently my main research focus has been on hypermaps, delta-matroids, and the critical group. I work extensively with topological extensions of graph polynomials and graph constructions. I am especially interested in using the additional topological structure to gain new understandings of classical polynomials (such as the chromatic, Tutte, and Penrose polynomials), their evaluations, their connections with each other, and their connections with quantum invariants of knots and statistical mechanics. I have also worked on quantum and finite-type invariants of knots and applications of graph theory to biology.
I am open to supervising new PhD students in the area of topological graph theory (i.e., the theory of graphs embedded in surfaces).
Key Words:
Mathematics, Combinatorics, Graph Theory
Important Links:
| Contact Professor Moffatt |
| Departmental Website |
| Professor Moffatt's Research Profile |
| Professor Moffatt's Social Media |
