I am a Teaching Assistant Professor of Mathematics at the George Washington University in the Columbian College of Arts and Sciences. Until Fall 2020, I was an Assistant Professor at Occidental College.
I am currently (Spring 2024) teaching Math 1231: Single-Variable Calculus 1, Section 11 and Math 1232: Single-Variable Calculus 2, Section 12.
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.