个人信息Personal Information
学科：基础数学
I am a jointly appointed professor at the Shanghai Center for Mathematical Sciences and the School of Mathematical Sciences, Fudan University. My research primarily lies in algebraic geometry and related areas.
Publication and preprints
Bloch's conjecture for equivalences of twisted abelian surfaces and applications (with Zaiyuan Chen, Ruxuan Zhang) In preparation.
The Picard group of the Baily–Borel compactification of the moduli space of quasi-polarized K3 surfaces and generalizations (with Chenxin Huang, Manuel K.-H. Müller, Zelin Ye) .
Derived isogenies and isogenies for abelian surfaces (with Haitao Zou), Algebra Number Theory 20 (2026), no. 6.
Derived isogenies between abelian varieties (with Ziwei Lu, Zhichao Tang), arXiv: 2510.22612
Finiteness of pointed families of symplectic varieties: a geometric Shafarevich conjecture (with Lie Fu, Teppei Takamatsu, Haitao Zou), to appear in Peking Mathematical Journal.
Unpolarized Shafarevich conjectures for hyper-Kähler varieties (with Lie Fu, Teppei Takamatsu, Haitao Zou), to appear in Algebraic Geometry
Projective equivalence of smooth hypersurfaces via cyclic covers (with Zhichao Tang), arXiv: 2508.04336
Filtrations on the derived category of twisted K3 surfaces (with Zaiyuan Chen, Ruxuan Zhang, Xun Zhang), arXiv: 2402.13793
Bloch's conjecture for (anti)-symplectic autoequivalences on K3 surfaces (with Xun Yu, Ruxuan Zhang), arXiv: 2208.07226
Mukai's program for non-primitive curves on K3 surfaces (with Yiran Chen, Haoyu Wu), J. Inst. Math. Jussieu 24 (2025), no. 3.
Complement to tautological classes on moduli spaces of hyper-Kähler manifolds (with Nicolas Bergeron), Ann. Fac. Sci. Toulouse Math. (6) 32 (2023), no. 5.
Compactifications of moduli space of K3 surfaces of degree 6 (with François Greer, Radu Laza, Fei Si, Zhiyu Tian) In preparation.
Algebraic reverse Khovanskii–Teissier inequality via Okounkov bodies (with Chen Jiang), Math. Z. 305 (2023), no. 2, Paper No. 26.
Beauville–Voisin filtrations on zero cycles of moduli space of stable sheaves on K3 surfaces (with Ruxuan Zhang), Int. Math. Res. Not. 2023 (2023), no. 13.
Deligne–Beilinson cohomology of universal K3 surfaces (with Xun Zhang), Forum Math. Sigma 10 (2022), e64.
A note on Fourier–Mukai partners of abelian varieties over positive characteristic fields (with Haitao Zou), Kyoto J. Math.
Supersingular O’Grady varieties (with Haitao Zou, Lie Fu), Int. Math. Res. Not. 2022 (2022), no. 11.
P=W for Lagrangian fibrations and degenerations of hyper-Kähler manifolds (with Andrew Harder, Junliang Shen, Qizheng Yin), Forum Math. Sigma 9 (2021), e50.
Supersingular irreducible symplectic varieties (with Lie Fu), In Rationality of Algebraic Varieties, Progr. Math. 342, 191–244 (2021).
Algebraic cycles on moduli space of polarized hyperkähler manifolds, Proceedings of ICCM 2017, 19–49, Int. Press, Boston, MA, [2020].
Asymptotic Chow stability of toric Del Pezzo surfaces (with King-Leung Lee, Jacob Sturm, Xiaowei Wang), Math. Res. Lett. 26 (2019), no. 6.
Tautological classes on moduli space of hyperkähler manifolds (with Nicolas Bergeron), Duke Math. J. 168 (2019), no. 7.
Noether–Lefschetz conjecture and its generalizations (with Nicolas Bergeron, John Millson, Colette Moeglin), Invent. Math. 208 (2017), no. 2.
Integral Hodge classes on fourfolds fibered by quadric bundles (with Zhiyu Tian), Proc. Amer. Math. Soc. 144 (2016), no. 8.
Picard groups on moduli space of K3 surfaces (with François Greer, Zhiyu Tian), Int. Math. Res. Not. 2015 (2015), no. 16.
On rational connectedness of globally F-regular threefolds (with Yoshinori Gongyo, Zsolt Patakfalvi, Karl Schwede, Hiromu Tanaka, Hong R. Zong), Adv. Math. 280 (2015), 47–78.
Moduli space of quasi-polarized K3 surfaces of degree 6 and 8 (with Zhiyu Tian), Chin. Ann. Math. Ser. B 42 (2021), no. 3.
Modular forms and special cubic fourfolds (with Letao Zhang), Adv. Math. 245 (2013), 315–326.
Sections of Calabi–Yau threefolds with K3 fibration, Trans. Amer. Math. Soc. 366 (2014), 6313–6328.
Existence of HCMU metrics on higher genus Riemann surface, Master thesis (2007).
Thesis:
Density of rational points on K3 surfaces over function fileds, 2012