I am currently a visiting scholar in the math department at the University of Washington. Before that, I was a postdoctoral member at MSRI. Before that, I was a member of the School of Mathematics at the Institute for Advanced Study, and before that I was a graduate student at the University of Michigan, where I got my Ph.D. (in 2009) under the supervision of Jeffrey Lagarias. I work primarily in number theory, and I especially enjoy analytic number theory and experimentation.

Data:

• Computations of the Riemann zeta function
• Character sums
• The LMFDB
• Elliptic curves over Q(sqrt 5)

Papers:

6. (with Alyson Deines, Ariah Klages-Mundt, Benjamin LeVeque, R. Andrew Ohana, Ashwath Rabindranath, Paul Sharaba, and William Stein) A database of of elliptic curves over $\Q(\sqrt 5)$ - First report.
5. Conditionally bounding analytic ranks of elliptic curves.
4. (with Leo Goldmakher) The distribution of the maximum of character sums.
3. (with Emanuel Carneiro, Kevin Hughes, and Lillian Pierce) On a discrete version of Tanaka's theorem for maximal functions. Proceedings of the AMS, to appear
2. (with Jason Bell) Bounded step functions and factorial ratio sequences. International Journal of Number Theory 5 (2009), no. 8, 1419--1431.
1. Factorial ratios, hypergeometric series, and a family of step functions. Journal of the London Mathematical Society (2) 79 (2009), no. 2, 422--444.

Some things I am currently working on:

• Computations of $\zeta(s)$ at large height (with Ghaith Hiary)

• Gaps in zeros of L-functions

• The distribution of values of character sums (with Leo Goldmakher)

Some courses I've taught:

Math 116, Winter 2008, Section 13

Math 115, Fall 2007, Section 38

Math 115, Fall 2006