个人简历

I am a Professor at Beijing International Center for Mathematical Research at Peking University, China. My research interest includes number theory, arithmetic geometry, and representation theory.
I received a bachelor degree in mathematics at Peking University, China, and finished my Ph.D in pure mathematics at MIT under the supervision of Kiran S. Kedlaya. After that, I was a Dickson Instructor at University of Chicago, and I later held faculty positions at University of California, Irvine, and at University of Connecticut.
This semester, I am organizing a reading seminar on geometry of Shimura varieties.
Contact Info
Beijing International Center for Mathematical Research
Peking University
No.5 Yiheyuan Road, Haidian District,
Beijing, 100871, China,
Employment
2009.9-2013.2, Dickson Instructor, University of Chicago.
2013.3-2014.6, Assistant Professor, University of California, Irvine.
2014.8-2019.8, Assistant Professor, University of Connecticut, Storrs (tenured on 2019.8).
2019.8-present, Professor, Beijing International Center for Mathematical Research.

Education:
2005.9-2009.6 Ph.D., Massachusetts Institute of Technology (Advisor: Kiran S. Kedlaya)
2001.9-2005.7 B.S. in Mathematics, Peking University, China

Awards and grants:
NSF CAREER Grant: \

研究领域

研究方向： 数论和算术代数几何

近期论文

24. On the Beilinson-Bloch-Kato conjecture for Rankin-Selberg motives, (with Yifeng Liu, Yichao Tian, Wei Zhang, and Xinwen Zhu), arXiv:1912.11942.
23*. Cycles on Shimura varieties via geometric Satake, Example, (with Xinwen Zhu), pdf
23. Cycles on Shimura varieties via geometric Satake, (with Xinwen Zhu), arXiv:1707.05700
22. On the parity conjecture in finite-slope families, (with Jonathan Pottharst), arXiv:1410.5050.
21. Tate cycles on quaternionic Shimura varieties over finite fields, (with Yichao Tian), Duke Mathematical Journal, 168 (2019), 1551--1639. arXiv:1410.2321.
20. On vector-valued twisted conjugate invariant functions on a group, (with Xinwen Zhu), in Representation of Reductive Groups, Proceedings of Symposia in Pure Mathematics 101, 361--425. arXiv:1802.05299.
19. Unramfiedness of Galois representations arising from Hilbert modular surfaces, (with Matthew Emerton and Davide Reduzzi), Forum of Mathematics Sigma, 5 (2017), E29. arXiv:1410.6203 Journal.
18. Tate cycles on some unitary Shimura varieties mod p, (with David Helm and Yichao Tian), Algebraic Number Theory 11 (2017), 2213--2288. arXiv:1410.2343 Journal.
17. Slopes for higher rank Artin-Schreier-Witt Towers, (with Rufei Ren, Daqing Wan, and Myungjun Yu), Trans. Amer. Math. Soc. 370 (2018), 6411-6432. Journal arXiv:1605.02254.
16. The eigencurve over the boundary of weight space, (with Ruochuan Liu and Daqing Wan), Duke Mathematical Journal 166 (2017), 1739-1787. arXiv:1412.2584, Journal.
15. Slopes of eigencurves over boundary disks, (with Daqing Wan and Jun Zhang), Mathematische Annalen 369 (2017), 487-537. arXiv:1407.0279, Journal.
14. Partial Hasse invariants on splitting models of Hilbert modular varieties, (with Davide Reduzzi), Annales Scientifiques de l'ENS 50 (2017), 579-607. arXiv:1405.6349 Journal.
13. Galois representations and torsion in the coherent cohomology of Hilbert modular varieties, (with Matthew Emerton and Davide Reduzzi) Journal für die reine und angewandte Mathematik 726 (2017), 93-127, arXiv:1307.8003, Journal.
12. On Goren-Oort stratification for quaternionic Shimura varieties, (with Yichao Tian), Compositio Mathematica 152 (2016), 2134--2220. arXiv:1308.0790 Journal.
11. p-adic cohomology and classicality of overconvergent Hilbert modular forms, (with Yichao Tian), in Astérisque 382 (2016), 73-162. arXiv:1308.0779.
10. Newton slopes for Artin-Schreier-Witt towers, (with Christopher Davis and Daqing Wan), Mathematische Annalen 364 (2016), Issue 3, 1451-1468. arXiv:1310.5311, Journal, erratum.
9. Tensor being crystalline implies each factor being crystalline up to twists, (Appendix to \