Research

My research is in the general area of Number Theory. I obtained my Ph.D. in 2009 at the University of Texas at Austin under the direction of Fernando Rodriguez-Villegas, and the title of my thesis was “Hypergeometric Functions in Arithmetic Geometry.” I am working on several projects at the moment, in the theory of formal multizeta values, arithmetic dynamics, and arithmetic mirror symmetry.


Here is the latest version of my CV .


Publications and Preprints

  1. •An Algorithmic Approach to the Dwork Family, accepted for publication in Proceedings of WIN2 -- Women in Numbers 2, CRM Proceedings and Lecture Notes. (This version includes the GP code).

  2. • Counting Points over Finite Fields and Hypergeometric Functions, accepted for publication in Functiones et Approximatio.

  3. • Igusa class polynomials, embeddings of quartic CM fields, and arithmetic intersection theory, with Helen Grundman, Jennifer Johnson-Leung, Kristin Lauter, Bianca Viray, and Erika Wittenborn.  WIN -- Women in Numbers, Fields Institute Communications, vol. 60, Amer. Math. Soc., Providence, RI, 2011, pp. 35 -- 60.


Grants and Fellowships

  1. • BIRS Focussed Research Group Grant on “Effective Computations in Arithmetic Mirror Symmetry”, March 17-24, 2013. (with Charles Doran and Ursula Whitcher).

  2. • AIM SQuaREs Grant on “Effective Computations in Arithmetic Mirror Symmetry”, June 2014. (Also with Doran and Whitcher).

  3. • AWM Mentoring Travel Grant, to work with Leila Schneps at the Institut de Mathematiques de Jussieu during October 2012.

  4. • Project NExT Fellow from 2009 to 2010.