Publications

2026

1. Semisimplicity, purity and Mumford–Tate conjecture for hyper-Kähler varieties

   Preprint

   with Kazuhiro Ito · 2026

   arXivPDFHTMLBibTeX BibLaTeX

   @misc{IZ26,
     author = {Ito, Kazuhiro and Zou, Haitao},
     title  = {Semisimplicity, purity and {Mumford--Tate} conjecture for hyper-{K{\"a}hler} varieties},
     year   = {2026},
     note   = {Preprint, arXiv:2610.07890 [math.AG]}
   }

   @online{IZ26,
     author      = {Ito, Kazuhiro and Zou, Haitao},
     title       = {Semisimplicity, purity and {Mumford--Tate} conjecture for hyper-{K{\"a}hler} varieties},
     date        = {2026},
     eprint      = {2610.07890},
     eprinttype  = {arxiv},
     eprintclass = {math.AG}
   }

2. Quasi-$F$-split primitive symplectic varieties in positive characteristic

   Preprint

   2026

   arXivPDFHTMLBibTeX BibLaTeX

   @misc{Zou26,
     author = {Zou, Haitao},
     title  = {Quasi-{$F$}-split primitive symplectic varieties in positive characteristic},
     year   = {2026},
     note   = {Preprint, arXiv:2609.35467 [math.AG]}
   }

   @online{Zou26,
     author      = {Zou, Haitao},
     title       = {Quasi-{$F$}-split primitive symplectic varieties in positive characteristic},
     date        = {2026},
     eprint      = {2609.35467},
     eprinttype  = {arxiv},
     eprintclass = {math.AG}
   }

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

   Preprint

   with Zhichao Tang · 2026 · submitted

   arXivPDFHTMLBibTeX BibLaTeX

   @misc{TZ26,
     author = {Tang, Zhichao and Zou, Haitao},
     title  = {Monodromy rank and the semisimple {Mumford--Tate} conjecture for hyper-{K{\"a}hler} varieties},
     year   = {2026},
     note   = {Preprint, arXiv:2602.19835 [math.AG]}
   }

   @online{TZ26,
     author      = {Tang, Zhichao and Zou, Haitao},
     title       = {Monodromy rank and the semisimple {Mumford--Tate} conjecture for hyper-{K{\"a}hler} varieties},
     date        = {2026},
     eprint      = {2602.19835},
     eprinttype  = {arxiv},
     eprintclass = {math.AG}
   }

2025

1. Arithmetic monodromy of hyper-Kähler varieties over $p$-adic fields

   Preprint

   with Kazuhiro Ito, Tetsushi Ito, Teruhisa Koshikawa, Teppei Takamatsu · 2025 · submitted

   arXivPDFHTMLBibTeX BibLaTeX

   @misc{IIKTZ25,
     author = {Ito, Kazuhiro and Ito, Tetsushi and Koshikawa, Teruhisa and Takamatsu, Teppei and Zou, Haitao},
     title  = {Arithmetic monodromy of hyper-{K{\"a}hler} varieties over {$p$}-adic fields},
     year   = {2025},
     note   = {Preprint, arXiv:2507.13713 [math.AG]}
   }

   @online{IIKTZ25,
     author      = {Ito, Kazuhiro and Ito, Tetsushi and Koshikawa, Teruhisa and Takamatsu, Teppei and Zou, Haitao},
     title       = {Arithmetic monodromy of hyper-{K{\"a}hler} varieties over {$p$}-adic fields},
     date        = {2025},
     eprint      = {2507.13713},
     eprinttype  = {arxiv},
     eprintclass = {math.AG}
   }