I am a PhD candidate in Mathematics at the University of Michigan studying applications of functional analysis to problems in number theory. I am also a voracious consumer of music and avid poetry person. My advisor is Jeffrey C. Lagarias.
I received a B.A. in Mathematics from Pomona College. While there I worked frequently with Stephan Ramon Garcia, who advised my undergraduate thesis. I acted in, wrote, and directed various Pomona theatre productions, and sang with the group Men's Blue & White.
- Graphical cyclic supercharacters for composite moduli, Proc. Amer. Math. Soc. (to appear).
- Gauss’ hidden menagerie: from cyclotomy to supercharacters with Stephan Ramon Garcia and Trevor Hyde, Notices Amer. Math. Soc. 62 (2015), no. 8, 878–888
- The graphic nature of Gaussian periods with William Duke and Stephan Ramon Garcia, Proc. Amer. Math. Soc. 143 (2015), 1849–1863
- Four quotient set gems with Bryan Brown, Michael Dairyko, Stephan Ramon Garcia and Michael Someck, Am. Math. Monthly 120 (2014), no. 7, 590–598
- Two remarks about nilpotent operators of order two with Stephan Ramon Garcia and Dan Timotin, Proc. Amer. Math. Soc. 142 (2014), 1749–1756
Office: East Hall 1852
Hours: Tuesday–Friday 2:00–3:00
I wrote a literature survey recently on the algebraic cancellation problem for David Speyer's first-semester course in algebraic geometry. David Finston (New Mexico State University) has informed me of further progress, but I have yet to incorporate his helpful comments.
Here are solutions for the May 2008, May 2009, May 2010,
May 2012, May 2013 and May 2014 Topology QR exams.
My undergraduate alma mater got a lot of promotional mileage out of my thesis. Here is an article outlining my trajectory from Poughkeepsie to Ann Arbor. Here is a slightly goofy video where I tell the story myself:
(Note: I gave Persi Diaconis more credit than "does all sorts of card tricks and things" in the original footage…)