I do number theory under the supervision of Jordan Ellenberg.

Specifically, I study the Cohen-Lenstra heuristics in the presence of roots of unity.

Recently (at the 2010 Arizona Winter School), I became interested in arithmetic dynamics.

Here is my curriculum vitae.

Research:

• "Random matrices and Cohen-Lenstra statistics for global fields with roots of unity" (in preparation)
• "Graph components and dynamics over finite fields", with Ryan Flynn (submitted)
• "The a-numbers of Jacobians of Suzuki curves", with Holley Friedlander, Beth Malmskog, Rachel Pries, and Colin Weir (accepted to the Proceedings of the American Mathematical Society)