number theory, arithmetic statistics, and arithmetic geometry.
I am an associate professor at the Morningside Center of Mathematics, the Academy of Mathematics and Systems Science, Chinese Academy of Sciences. The focus of my research is in number theory, arithmetic statistics, and arithmetic geometry.
Education:
Employment:
1.Statistics of bad parts of class groups, with Peter Koymans, submitted, arXiv:2512.22849
2.The imaginary case of the nonabelian Cohen--Lenstra heuristics, with Ken Willyard, submitted, arXiv:2507.21558
3.Number fields generated by points in linear systems on curves, with Irmak Balçik, Stephanie Chan, and Bianca Viray, Trans. Am. Math. Soc., to appear, arXiv:2503.07846
4.On the distribution of class groups of abelian extensions, with an appendix by Peter Koymans, submitted, arXiv:2411.19318
5.On the p-rank of class groups of p-extensions, International Mathematics Research Notices (2024), no. 6, 5274–5325. arXiv:2212.09888
6.Non-abelian Cohen--Lenstra Heuristics in the presence of roots of unity, submitted, arXiv:2202.09471
7.Tamely ramified covers of the projective line with alternating and symmetric monodromy, with Renee Bell, Jeremy Booher, and William Chen, Algebra & Number Theory 16 (2022), no. 2, 393-446. arXiv: 2007.12299
8.Presentations of Galois groups of maximal extensions with restricted ramification, Algebra & Number Theory, to appear, arXiv: 2005.07329
9.Generalized Bockstein maps and Massey products, with Yeuk Hay Joshua Lam, Romyar Sharifi, Preston Wake and Jiuya Wang, Forum Math. Sigma 11 (2023), Paper No. e5, 41 pp. arXiv: 2004.11510
10.A predicted distribution for Galois groups of maximal unramified extensions, with Melanie Matchett Wood and David Zureick-Brown, Inventiones Mathematicae, 237(2024), no.1, 49-116. arXiv: 1907.05002
11.The realizability problem with prescribed inertia conditions, thesis (2019), part of it is available at arXiv: 1705.03184
12.On the level of modular curves that give rise to isolated j-invariant, with Abbey Bourdon, Özlem Ejder, Frances Odumodu, and Bianca Viray, Advances in Mathematics, 357 (2019), 106824, 33 pp. arXiv: 1808.04520
13.The free group on n generators modulo n+u random relations as n goes to infinity, with Melanie Matchett Wood, Journal für die reine und angewandte Mathematik (Crelle), 762 (2020), 123-166. arXiv: 1708.08509
