My main research interest is in extending the McMullen-Stanley-Billera-Lee characterisation of the flag vectors of simple convex polytopes to general polytopes. This will require new, local-global, intersection homology groups.
6 What is known about the locus of zero-divisors in the group ring of a (non-abelian) finite group? Nov 16 '11
4 Polytopes with few vertices. Mar 27 '13