个人简介
I am an associate professor at BICMR (2018-).
I got my PhD at Stony Brook in 2011, advised by Prof. Jason Starr. After that, I spent three years at Caltech as a Taussky-Todd instructor (2011-2014), one semester visiting Bonn (Fall 2014), then held a CNRS position for about 3 years (2015.1-2018.3) in Grenoble, France. I moved back to China in March 2018.
Employment
Mar. 2018-, Associate professor, BICMR, Peking University, Beijing, China.
Jan. 2015- Feb. 2018, Charg´e de Recherche, CNRS, Fourier Institute, Grenoble, France.
Feb. 2015- April 2015, Member of IAS, Princeton, NJ, USA.
Fall, 2014, visiting scientist at Universit¨at Bonn, Bonn, Germany.
Sep. 2011-Aug. 2014, Olga Taussky and John Todd Instructor in Mathematics, Caltech, Pasadena, CA,USA.
Education
2007- 2011 Ph.D in Mathematics. Stony Brook University.Advisor: Jason Starr,
Dissertation: Symplectic geomety of rationally connected threefolds.
2003-2007 B.S. in Mathematics and Physics, Tsinghua University, Beijing, China.
Honors and Grants
Qiushi Outstanding Young Scholar Award, Qiushi Foundation (Hong Kong), 2018.
Invited speaker at AMS Summer Institute of Algebraic Geometry, Salt Lake City, 2015.
NSFC grants: “Moduli space and applications” (joint grant, 2019-2024) No. 11831013; “Geometry of
Fano varieties” (joint grant 2019-2022) No. 11871155; “Symplectic geometric invariants and integrable
systems ” No. 11890662 (sub-program of“Geometric structures and topological invariants” (2019-2024)
No.11890660).
研究领域
Algebraic geometry.
Research key words: birational geometry; rationally connected varieties; Gromov-Witten invariants;
Chow group; hyperk¨ahler varieties; irregular varieties.
近期论文
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1. (with Lie Fu and Charles Vial) Motivic hyperk¨ahler resolution conjecture for generalized Kummer varieties, Geometry & Topology , 23 (2019), no. 1, 427-492.
2. (with Lie Fu) Motivic multiplicative McKay correspondence for surfaces, Manuscripta Math. 158(2019), no. 3-4, 295-316.
3. (with Lie Fu) 2-cycles sur les hypersurfaces cubiques de dimension 5. Math. Z., 293 (2019), no. 1-2,661-676.
4. Hasse principle for three classes of varieties over global function fields, Duke Math. Journal, Volume 166, Number 17 (2017), 3349-3424.
5. (with Zhi Jiang and Jungkai Chen) Irregular varieites with geometric genus one, theta divisors, and fake tori, Adv. Math., 320 (2017), 361390.
6. (with Chenyang Xu) Finiteness of fundamental groups, Compositio Math., Volume 153, Issue 2, February 2017, 257-273.
7. (with Hong R. Zong) Weak approximation for isotrivial families, J. Reine Angew. Math. (Crelle’s journal), https://doi.org/10.1515/crelle-2016-0073.
8. (with Zhiyuan Li) Integral Hodge classes on fourfolds fibered by quadric bundles, Proc. A.M.S., Vol.144, Number 8, August 2016, Pages 3333-3345.
9. R-equivalence on del Pezzo surfaces of degree 4 and cubic surfaces, Taiwanese Journal of Math. Vol.19, No. 6, 1603-1612, 2015.
10. (with Letao Zhang) Weak Approximation for Cubic Hypersurfaces and Degree 4 del Pezzo Surfaces,Int. Math. Res. Notices Volume 2018, Issue 3, 31 January 2018, Pages 762-784.
11. Weak approximation for cubic hypersurfaces, Duke Math. Journal. Volume 164, Number 7 (2015),1401-1435.
12. Symplectic geometry and rationally connected 4-folds, J. Reine Angew. Math. (Crelle’s journal),Volume 2015, Issue 698, Pages 221–244.
13. (with Francois Greer and Zhiyuan Li) Picard groups on moduli of K3 surfaces with Mukai models, Int.Math. Res. Notice, 2015.16 (2015): 7238-7257.
14. Separable rational connectedness and stability, in Rational points, rational curves, and entire holomorphic curves on projective varieties, Contemporary Mathmatics, 654, 155-160.
15. (with Hong R. Zong) One cycles on rationally connected varieties, Compositio Mathematica, Vol. 150(2014), issue 03, 396-408.
16. Symplectic geometry of rationally connected threefolds. Duke Math. Journal. Volume 161, Number 5(2012), 803-843.
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