数学科学研究所
Insitute of Mathematical Science

张正Zheng Zhang


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, 595628.

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, 1610416139.

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, 134.

A generic global Torelli theorem for certain Horikawa surfaces (with G. Pearlstein), Algebr. Geom. 6 (2019), no. 2, 132147.

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





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