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12. Powersaving
error terms for the number of D4quartic extensions
over a number field ordered by discriminant with Alina Bucur, Alexandra Florea, Allechar Serrano Lopez (submitted) 
11. Geometryofnumbers
methods in the cusp with Arul Shankar, Artane Siad, and Ashvin Swaminathan (submitted) 
10.
On unit signatures and
narrow class groups of odd abelian number fields:
structure and heuristics with Ben Breen and John Voight (including an appendix with Noam Elkies) (accepted, to appear in Transactions of the American Mathematical Society) 
9. Localglobal compatibility for regular algebraic cuspidal automorphic representations when ℓ ≠ p (accepted, to appear in Forum of Mathematics Sigma) 
8. The mean number of 3torsion elements in ray class groups of quadratic fields (accepted, to appear in the Israel Journal of Mathematics) 
a. Sums
of Squares, Modular Forms, and Hecke Characters
Master Thesis, Leiden University, June 2010. 
b. Kummer, Regular Primes, and Fermat's Last Theorem Harvard Mathematics College Review, 2 (2008), Issue 2, Pg. 1224 
c. Classification of vector bundles on P^1 over a field via elementary operations on matrices Lecture Notes, Fall 2009. 

Current Teaching 

Fall 2023  MAT
1210: Class Field Theory 
Fall
2022 
MAT 1100:
Algebra 
Fall
2021 
MAT 1100: Algebra 
Fall
2021 
MAT 495: Algebraic Number Theory 
Fall
2021 
MAT 224: Linear
Algebra II 
Fall
2020 
MAT 415/MAT 1200: Algebraic
Number Theory 
Fall
2020 
MAT 224: Linear
Algebra II 
Fall
2019 
MAT 477: Seminar in
Mathematics 
Fall
2019 
MAT
224: Linear Algebra II 
UC San Diego 

Winter 2019 
Math 109: Mathematical Reasoning 
Fall 2018 
Math 100A:
Abstract Algebra

Fall 2018  Math
204A: Algebraic Number Theory

Columbia University 

Fall 2017 
Math
1101: Calculus I 
Fall 2016 
Math
1101: Calculus I 
Princeton University 

Fall 2013 
MAT
104: Calculus II 