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. Geometry-of-numbers
methods in the cusp with Arul Shankar, Artane Siad, and Ashvin Swaminathan (accepted to Algebra & Number Theory) |
| 11. 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 Research Directions in Number Theory 33 (2024), Pg. 197-218 |
10. Local-global compatibility for regular algebraic cuspidal automorphic representations when ℓ ≠ p Forum of Mathematics, Sigma 12 (2024), Number 21, Pg. 1-32 |
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. 86-128 |
8. The mean number of 3-torsion elements in ray class groups of quadratic fields Israel Journal of Mathematics 252 (2022), Pg. 149-185 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 settler-colonial 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 anti-Zionists) 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 D4-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. 2733-2785 |
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. 445-495 |
5. Odd degree number fields with odd class number with Wei Ho and Arul Shankar Duke Mathematical Journal 167 (2018), Number 5, Pg. 995-1047 |
4. p-adic q-expansion principles on unitary Shimura varieties with Ana Caraiani, Ellen Eischen, Jessica Fintzen, and Elena Mantovan Directions in Number Theory 3 (2016), Springer, Pg. 197-244 |
3. The mean number of 3-torsion 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. 235-266 |
| 2. On the mean number of 2-torsion 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. 1911-1933 |
|
1. Finding elementary formulas for theta functions associated to even sums of squares Indagationes Mathematicae 22 (2011), Issues 1-2, Pg. 12-26 |
| 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 2024 | MAT 482: Compositions laws, rings of low rank, and related counting problems |
| Fall 2024 | MAT
1210/Fields Academy: Class Field Theory |
| 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 |
.png){kind=link}
