Career 2020.7-present, Assistant Professor, ShanghaiTech University 2018.8-2020.5, Visiting Assistant Professor, University of Colorado Boulder 2015.8-2018.8, Visiting Assistant Professor, Texas A&M University
Education 2009.8-2014.12, Ph.D. in Mathematics, Stony Brook University (Advisor: Radu Laza) 2005.9-2009.6, B.S. in Mathematics, Zhejiang University
Research Interest My research interest is algebraic geometry. In particular, I am interested in Hodge theory and its geometric applications, special varieties (e.g. K3 surfaces, cubic hypersurfaces, hyper-Kähler varieties), and geometric and motivic realizations of variations of Hodge structure over Hermitian symmetric domains.
Selected Publications • Infinitesimal Torelli problems for special Gushel-Mukai and related Fano threefolds: Hodge theoretical and categorical perspectives (with X. Lin and S. Zhang), in preparation. • Three approaches to a categorical Torelli theorem for cubic threefolds of non-Eckardt type via the equivariant Kuznetsov components (with S. Casalaina-Martin, X. Hu, X. Lin and S. Zhang), arXiv:2405.20554, submitted. • Unimodal singularities and boundary divisors in the KSBA moduli of a class of Horikawa surfaces (with P. Gallardo, G. Pearlstein and L. Schaffler), Math. Nachr. 297 (2024), no. 2, 595–628. • The moduli space of cubic threefolds with a non-Eckardt type involution via intermediate Jacobians (with S. Casalaina-Martin and L. Marquand), Int. Math. Res. Not. IMRN (2023), no. 18, 16104–16139. • The moduli space of cubic surface pairs via the intermediate Jacobians of Eckardt cubic threefolds (with S. Casalaina-Martin), J. London Math. Soc. (2) 104 (2021), no. 1, 1–34. • A generic global Torelli theorem for certain Horikawa surfaces (with G. Pearlstein), Algebr. Geom. 6 (2019), no. 2, 132–147. • On motivic realizations of the canonical Hermitian variations of Hodge structure of Calabi-Yau type over type D domains, Canad. Math. Bull. 62 (2019), no. 1, 209-221. • On the moduli space of pairs consisting of a cubic threefold and a hyperplane (with R. Laza and G. Pearlstein), Adv. Math. 340 (2018), 684-722. • Compactifications of the moduli space of plane quartics and two lines (with P. Gallardo and J. Martinez-Garcia), Eur. J. Math. 4 (2018), 1000-1034. • Classical period domains (with R. Laza), Recent advances in Hodge theory, 3-44, London Math. Soc. Lecture Note Ser., 427, Cambridge Univ. Press, Cambridge, 2016. • A realization for a Q-Hermitian variation of Hodge structure of Calabi-Yau type with real multiplication, Math. Res. Lett. 22 (2015), no. 3, 967-982. |
Email: zhangzheng@shanghaitech. edu.cn Office: S415, School of Creativity & Arts |
