Publications

2026

1. MTHK

   Monodromy rank and the semisimple Mumford–Tate conjecture for hyper-Kähler varieties

   Zhichao Tang and Haitao Zou

   submitted , Feb 2026

   available at arXiv:2602.19835

   arXiv Bib HTML PDF

   @article{TZ26,
     title = {Monodromy rank and the semisimple Mumford–Tate conjecture for hyper-Kähler varieties},
     author = {Tang, Zhichao and Zou, Haitao},
     note = {available at arXiv:2602.19835},
     year = {2026},
     month = feb,
   }

2. shafarevich

   Unpolarized Shafarevich conjectures for hyper-Kähler varieties

   Lie Fu, Zhiyuan Li, Teppei Takamatsu, and Haitao Zou

   Algebraic Geometry, 13 (5), 598–638, 2026

   DOI arXiv PDF
3. derivedisog

   Derived isogenies and isogenies for abelian surfaces

   Zhiyuan Li and Haitao Zou

   Algebra & Number Theory, 20(2026) (6), 1185-1234, May 2026

   DOI arXiv HTML PDF

2025

1. NagaiConj

   Arithmetic monodromy of hyper-Kähler varieties over p-adic fields

   Kazuhiro Ito, Tetsushi Ito, Teruhisa Koshikawa, Teppei Takamatsu, and Haitao Zou

   submitted , Jul 2025

   available at arXiv:2507.13713

   arXiv Bib HTML PDF

   @article{IIKTZ25,
     title = {Arithmetic monodromy of hyper-Kähler varieties over p-adic fields},
     author = {Ito, Kazuhiro and Ito, Tetsushi and Koshikawa, Teruhisa and Takamatsu, Teppei and Zou, Haitao},
     note = {available at arXiv:2507.13713},
     year = {2025},
     month = jul,
   }

2. PointedShaf

   Finiteness of pointed families of symplectic varieties: a geometric Shafarevich conjecture

   Lie Fu, Zhiyuan Li, Teppei Takamatsu, and Haitao Zou

   Peking Mathematical Journal, May 2025

   Online Published

   DOI arXiv Bib HTML PDF

   @article{FLTZ23,
     title = {Finiteness of pointed families of symplectic varieties: a geometric Shafarevich conjecture},
     author = {Fu, Lie and Li, Zhiyuan and Takamatsu, Teppei and Zou, Haitao},
     journal = {Peking Mathematical Journal},
     note = {Online Published},
     year = {2025},
     month = may,
     doi = {10.1007/s42543-026-00122-9},
   }

2023

1. FMabelian

   A note on Fourier–Mukai partners of abelian varieties over positive characteristic fields

   Zhiyuan Li and Haitao Zou

   Kyoto J. Math., 63 (4), 893–913, Nov 2023

   DOI arXiv HTML PDF ERRATUM

2022

1. OG6

   Supersingular O’Grady varieties of dimension six

   Lie Fu, Zhiyuan Li, and Haitao Zou

   International Mathematics Research Notices, 2022 (11), 8769–8802, Jun 2022

   DOI arXiv Bib PDF

   @article{FLZ20,
     title = {Supersingular O’Grady varieties of dimension six},
     author = {Fu, Lie and Li, Zhiyuan and Zou, Haitao},
     journal = {International Mathematics Research Notices},
     volume = {2022},
     number = {11},
     pages = {8769--8802},
     year = {2022},
     month = jun,
     issn = {1073-7928},
     eissn = {1687-0247},
     publisher = {Oxford University Press},
     doi = {10.1093/imrn/rnaa349},
     url = {https://doi.org/10.1093/imrn/rnaa349},
   }