UofT Mathematics Department's Equity
Forum
CensureUofT
Day of Refusal to Demand Cops
off Campus
#ScholarStrike  led by Dr. Anthea Butler and Dr. Kevin Gannon occurred on September 2020
ShutdownSTEM Resources  occurred in June 2020
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.
Localglobal
compatibility for regular algebraic cuspidal
automorphic representations when ℓ ≠ p (accepted, to appear in Forum of Mathematics Sigma) 
9. 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) Transactions of the American Mathematical Society Series B, 10 (2023), Pg. 86128 
8. The mean number of 3torsion elements in ray class groups of quadratic fields Israel Journal of Mathematics 252 (2022), Pg. 149185 Since publishing this article, I have taken time to reflect on Zionism, Hindu Nationalism, and White Supremacy/Christian Nationalism, and I no longer believe that it was okay to be so concerned with my own career to publish and therefore uphold the Zionist settlercolonial state of Israel. Since then, I have signed the US Campaign for the Academic and Cultural Boycott of Israel, USACBI. I urge all mathematicians to do the same as me. I apologize to all Palestinians (as well as all antiZionists) for this oversight. If you would like to learn more about the Boycott, especially as a mathematician, please read the Just Mathematics Collective's USACBI Statement. From the
river to the sea, Palestine will be free

7. The number of D_{4}quartic fields ordered by conductor with Ali Altug, Arul Shankar, and Kevin Wilson Journal of the European Mathematical Society (JEMS) 23 (2021), Number 8, Pg. 27332785 
6. Differential operators and families of automorphic forms on unitary groups of arbitrary signature with Ellen Eischen, Jessica Fintzen, and Elena Mantovan Documenta Mathematica 23 (2018), Pg. 445495 
5. Odd degree number fields with odd class number with Wei Ho and Arul Shankar Duke Mathematical Journal 167 (2018), Number 5, Pg. 9951047 
4. 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 
3. 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 
2. 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 
1. Finding elementary formulas for theta functions associated to even sums of squares Indagationes Mathematicae 22 (2011), Issues 12, Pg. 1226 
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 

Past 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 