Info

Research
- Proof of (Fourier-Jacobi) arithmetic fundamental lemma for the minuscule case (with Yihang Zhu)
An appendix to Yifeng Liu, Fourier-Jacobi cycles and arithmetic relative trace formula
Camb. J. Math., to appear
- Fine Deligne-Lusztig varieties and arithmetic fundamental lemmas (with Xuhua He and Yihang Zhu)
Forum Math. Sigma, 7 (2019), e47, 55pp. doi:/10.1017/fms.2019.45
- On the 2-part of the BSD conjecture for quadratic twists of elliptic curves (with Li Cai and Shuai Zhai)
J. Lond. Math. Soc., 101 (2020), No. 2, 714-734. doi:10.1112/jlms.12284
- Recent developments on quadratic twists of elliptic curves (survey)
Proceedings of the First Annual Meeting of the ICCM, to appear
- Prime twists of elliptic curves (with Daniel Kriz)
Math. Res. Lett., 26 (2019), No. 4, 1187-1195. doi:10.4310/MRL.2019.v26.n4.a10
- Goldfeld's conjecture and congruences between Heegner points (with Daniel Kriz)
Forum Math. Sigma, 7 (2019), e15, 80pp. doi:10.1017/fms.2019.9
- Arithmetic intersection on GSpin Rapoport-Zink spaces (with Yihang Zhu)
Compos. Math., 154 (2018), No. 7, 1407-1440, doi:10.1112/S0010437X18007108
- Remarks on the arithmetic fundamental lemma (with Yihang Zhu)
Algebra Number Theory, 11 (2017), No. 10, 2425-2445, doi:10.2140/ant.2017.11.2425
- 2-Selmer groups, 2-class groups and rational points on elliptic curves
Trans. Amer. Math. Soc., 371 (2019), 4631-4653, doi:10.1090/tran/7373
- Level raising mod 2 and obstruction to rank lowering
Int. Math. Res. Not. IMRN (2019), no. 8, 2332-2355. doi:10.1093/imrn/rnx188
- Level raising mod 2 and arbitrary 2-Selmer ranks (With Bao V. Le Hung)
Compos. Math. 152 (2016), no. 8, 1576-1608, doi:10.1112/S0010437X16007454
Teaching
- I am teaching Math 6657 (Class field theory), TR 11:40am - 12:55pm via Zoom.
- I taught Math 4044 (Representations of finite groups), Fall 2020
- I taught Math 6657 (Class field theory), Spring 2020.
- I taught Math 1101 (Calculus I), Fall 2019.
- I taught Math 6657 (Class field theory), Spring 2019.
- I taught Math 8674 (Arithmetic of L-functions), Fall 2018. Course Notes by Pak-Hin Lee.
- I taught Math 1101 (Calculus I), Fall 2017 and Spring 2018.
- I taught Math 6657 (Class field theory), Spring 2017.
- I taught Math 1101 (Calculus I) and Math 4043 (Algebraic number theory), Fall 2016.
- I taught Math 1101 (Calculus I), Fall 2015 and Spring 2016. (Columbia Departmental Teaching Award)
- I CAed Math 123 (Theory of rings and fields) and Math 223b (Class field theory 2), Spring 2015. (Harvard Certificate of Distinction in Teaching)
- I taught Math 21a (Multivariable calculus), Fall 2013 and Fall 2014. (Harvard Certificate of Distinction in Teaching)
- I CAed Math 223b (Class field theory 2), Spring 2013. (Harvard Certificate of Distinction in Teaching)
- I CAed Math 223a (Class field theory), Fall 2012. (Harvard Certificate of Distinction in Teaching)
- I taught Knots and Primes, Summer 2012.
- I taught Math 21a (Multivariable calculus), Fall 2011.
Expository Notes
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Course Notes