Crystallinity of
Galois representations associated to regular algebraic
cuspidal automorphic representations of GL_{n} (in preparation) 

The number of D_{4}quartic
fields ordered by conductor with Ali Altug, Arul Shankar, and Kevin Wilson (submitted) 

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

The mean number of
3torsion elements in ray class groups of quadratic
fields (submitted) 

Odd degree number fields
with odd class number with Wei Ho and Arul Shankar (to appear in Duke Mathematical Journal) 

Differential
operators and families of automorphic forms on unitary
groups of arbitrary signature with Ellen Eischen, Jessica Fintzen, and Elena Mantovan (to appear in Documenta Mathematica) 
padic
qexpansion principles on unitary Shimura varieties with Ana Caraiani, Ellen Eischen, Jessica Fintzen, and Elena Mantovan Directions in Number Theory 3 (2016), Springer, Pg. 197244 

The
mean number of 3torsion elements in the class groups
and ideal groups of quadratic orders with Manjul Bhargava Proceedings of the London Mathematical Society 112 (2016), Issue 2, Pg. 235266 

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 Duke Mathematical Journal 164 (2015), Number 10, Pg. 19111933 

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. 