My Research Interests

My research interests are in algebraic and geometric combinatorics, and group theory, particularly the study of abstract polytopes, (hyper)maps and, more recently, coset geometries from Coxeter groups. One of my main lines of research is in the classification of all possible degrees of faithful transitive permutation representations of polytopes and toroidal maps. Also, with my biochemistry background, I have also been interested in studying the process of dissassembly of a virus capsid using a mathematical and computational approach. More recently, I have become interested in compiling some of the functions I have been using to study polytopes and toroidal maps into a package for GAP.