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12. Power-saving
error terms for the number of D4-quartic extensions
over a number field ordered by discriminant with Alina Bucur, Alexandra Florea, Allechar Serrano Lopez (submitted) |
11. Geometry-of-numbers
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. Local-global compatibility for regular algebraic cuspidal automorphic representations when ℓ ≠ p (accepted, to appear in Forum of Mathematics Sigma) |
8. The mean number of 3-torsion 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. 12-24 |
c. Classification of vector bundles on P^1 over a field via elementary operations on matrices Lecture Notes, Fall 2009. |
|
Current Teaching |
|
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 |