My research is in number theory, algebraic geometry, and arithmetic dynamics, though I enjoy thinking about many other things.
I am interested in the multiple zeta values, which are real numbers defined by a certain infinite series. I am also interested in the arithmetic of finite truncations of this series.
Articles/preprints
 Asymptotic relations for truncated multiple zeta values
J. London Math. Soc. (2015), doi: 10.1112/jlms/jdu084
Computations in Mathematica
 Values of symmetric polynomials and a truncated analogue of the Riemann zeta function
Submitted, arXiv:1407.2596
 NéronSeveri groups of product abelian surfaces, with A. Shnidman
Submitted, arXiv:1402.2233
 Multiple harmonic sums and Wolstenholme's theorem
Int. J. Number Theory, 9(8), 2013, 20332052
 Chebyshev mappings of finite fields, with Z. Scherr, B. Weiss, M. Zieve
Amer. Math. Monthly 119(2), 2012, 151155
 Universal mixing of quantum walks on graphs
with W. Carlson, A. Ford, E. Harris, C. Tamon, K. Wrobel Quantum Inf. Comput., 7(8), 2007, 738751
In preparation
 Dynamical orbits on the projective line with values in a subfield, with J. Bell
 Primitive divisors in postcritical orbits, with M. Zieve
 Multiple polylogarithms and congruences for generalized harmonic numbers
