I am interested in finite group theory, character theory, and related topics. If those terms mean nothing to you, then abstract algebra will suffice.
Recent papers:
"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.