The mean number of
3torsion elements in ray class groups of quadratic
fields with fixed squarefree conductor (in preparation) 

padic
qexpansion principles on unitary Shimura Varieties with Ana Caraiani, Ellen Eischen, Jessica Fintzen, and Elena Mantovan. (submitted) 

Localglobal
compatibility for regular algebraic cuspidal automorphic
representations when ℓ ≠ p (submitted) 

On the
mean number of 2torsion elements in the class groups,
narrow class groups, and ideal groups of cubic orders
and fields with Manjul Bhargava to appear in Duke Mathematical Journal 


The mean number of 3torsion elements in the class groups
and ideal groups of quadratic orders with Manjul Bhargava to appear in the Proceedings of the London Mathematical Society 
Finding elementary
formulas for theta functions associated to even sums of
squares Indagationes Mathematicae 22 (2011), Issues 12, Pg. 1226 
Sums of Squares, Modular Forms, and Hecke Characters
Master Thesis, Leiden University, June 2010. 

Kummer,
Regular Primes, and Fermat's Last Theorem Harvard Mathematics College Review, 2 (2008), Issue 2, Pg. 1224 

Classification of vector
bundles on P^1 over a field via elementary operations on
matrices Lecture Notes, Fall 2009. 