I am interested in finite group theory, character theory, and related topics. If those terms mean nothing to you, then abstract algebra will suffice. I have also developed a certain obsession with counting totally symmetric quasigroups; a preprint of my most recent paper is below. Recent papers: "Totally Symmetric Quasigroups of Order 16" (pdf) (arxiv)
"Heilbronn Characters" (with Richard Foote and V. Kumar Murty) (pdf)
Bulletin of the American Mathematical Society, Volume 52, Number 3, July, 2015, pp 465-496.
"Groups with Strongly p-Embedded Subgroups and Cyclic Sylow p-Subgroups"
Journal of Group Theory. Volume 17, Issue 1, 2013, pp 175-190.
"Unfaithful Minimal Heilbronn Characters of \(L_2(q)\)" (pdf)
Proceedings of the Edinburgh Mathematical Society, Volume 56, Issue 1, February 2013, pp 57-69.
"Unfaithful Minimal Heilbronn Characters of Finite Groups"
Journal of Algebra, Volume 331, Issue 1, April 2011, pp 466-481.