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.

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.