李志远

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学科：基础数学

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I am a mathematician currently at the SCMS of Fudan University as a professor. My research is primarily in Algebraic Geometry and related areas.

Publication and preprints

◆ Finiteness of pointed families of symplectic varieties: a geometric Shafarevich conjecture (with Lie Fu, Teppei Takamatsu, Haitao Zou), arXiv:

2505.15295

◆ 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 and Zelin Ye), arXiv:2411.12931

◆ Filtrations on the derived category of twisted K3 surfaces (with Zaiyuan Chen, Ruxuan Zhang, Xun Zhang), arXiv: 2402.13793

◆ Bloch's conjecture for (anti-)autoequivalences on K3 surfaces (with Xun Yu, Ruxuan Zhang), arXiv: 2112.02847

Pic1

Pic2 ，

◆ Mukai's program for non-primitive curves on K3 surfaces (with Yiran Chen and Haoyu Wu), J. Inst. Math. Jussieu 24 (2025), no. 3, 1053–1091.

◆ Unpolarized Shafarevich conjectures for hyper-Kähler varieties (with Lie Fu, Teppei Takamatsu, Haitao Zou), to appear in Algebraic Geometry.

◆ Beauville-Voisin filtrations on zero cycles of moduli space of stable sheaves on K3 surfaces (with Ruxuan Zhang), Int Math Res Notices, rnac161.

◆ Algebraic reverse Khovanskii-Teissier inequality via Okounkov bodies (with Chen Jiang), Math. Z. 305 (2023), no. 2, Paper No. 26, 14 pp.

◆ Deligne-Beilinson cohomology of universal K3 surfaces (with Xun Zhang), Forum Math. Sigma 10 (2022), Paper No. e64, 28 pp.

◆ Derived isogenies and isogenies for abelian surfaces (with Haitao Zou), to appear in Alg. Number. Theory.

◆ A note on Fourier-Mukai Partners of abelian varieties over positive characteristic fields (with Haitao Zou), Kyoto J. Math. 63 (2023), no. 4, 893–913.

◆ Complement to tautological classes on moduli spaces of hyperkähler manifolds (with Nicolas Bergeron), Ann. Fac. Sci. Toulouse Math. (6) 32 (2023), no. 5, 839–854.

◆ Supersingular O’Grady varieties (with Haitao Zou and Lie Fu), Int. Math. Res. Not. IMRN 2022, no. 11, 8769–8802.

◆ Chern classes of automorphic bundles on certain Shimura varieties (with Zhichao Tang), in preparation.

◆ P=W for Lagrangian fibrations and degenerations of hyper-Kähler manifolds (with Andrew Harder, Junliang Shen and Qizheng Yin), Forum of Mathematics, Sigma, Volume 9 , 2021 , e50

◆ Supersingular irreducible symplectic varieties (with Lie Fu), "Rationality of Algebraic Varieties", Progress in Mathematics, Vol. 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 and Xiaowei Wang ), Math. Res. Letter. Volume 26, Number 6, 1759–1787, 2019

◆ Tautological classes on moduli space of hyperkahler manifolds (with Nicolas Bergeron), Duke. Math. 2019, vol 168,1179-1230

◆ Noether-Lefschetz conjecture and its generalizations (with Nicolas Bergeron, John Millson and Coellete Moeglin), Invent.math, (2017) Volume 208, Issue 2: 501-552.

◆ Integral Hodge classes on fourfolds fibered by quadric bundles (with Zhiyu Tian), Proc. Amer. Math. Soc. 144 (2016), no. 8, 3333-3345.

◆ Picard groups on moduli space of K3 surfaces (with Franscois Greer, Zhiyu Tian), Int Math Res Notices (2015) (16): 7238-7257

◆ On Rational Connectedness of Globally F-Regular Threefolds (with Yoshinori Gongyo, Zsolt Patakfalvi, Karl Schwede, Hiromu Tanaka, Hong R. Zong), Adv. Math. 280:47-78, 2015.

◆ Moduli space of quasi-polarized K3 surfaces of degree 6 and 8 (with Zhiyu Tian), Chin. Ann. Math. Ser. B 42(3), 2021, 427–450

◆ Modular forms and special cubic fourfolds (with Letao Zhang), Adv. Math., 245:315-326, 2013.

◆ Sections of Calabi-Yau threefolds with K3 fibration, Trans. Amer. Math. Soc., 366:6313-6328, 2014.

◆ Existence of HCMU metrics on higher genus Riemann surfaces, master thesis, 2007