I am an Assistant Professor at Occidental College; I am currently (Fall 2019) teaching Math 401: Senior Colloquium on Cryptology, Math 322: Number Theory, and Math 114: Calculus I (Experienced). I received my Ph.D. in Mathematics at Caltech, studying number theory under Matthias Flach, in June 2014. Prior to that I received a Masters of Advanced Study in Mathematics (Tripos part III) at Cambridge University in June 2009 and a B.A. in math from Pomona College in May 2008.
My primary research interests are in number theory and arithmetic geometry. My thesis research used $(\phi, \Gamma)$-modules to study special values of $L$-functions and the equivariant Tamagawa number conjecture, which relates to both the Riemann zeta function and the Birch and Swinnerton-Dyer conjecture on elliptic curves. You can find a copy of my thesis work here, and a copy of my paper with Matthias Flach here.
I am currently most interested in the study of non-unique factorization problems in numerical monoids. Numerical monoids have a rich theory of factorization that is accessible to students with an undergraduate background in mathematics.
In my free time, I participate in several forms of social partnered dancing, and used to compete in and coach ballroom dance.