Zhiwei Zheng (郑志伟)

About me

I'm an assistant professor in Yau Mathematical Sciences Center, Tsinghua University. I used to work in BIMSA as an assistant research fellow and in MPIM as a postdoc. I graduated from Tsinghua University in July 2019, under supervision of Eduard Looijenga .

I am interested in K3 surfaces, cubic fourfolds, hyper-Kahler manifolds, Calabi-Yau manifolds. Recently I worked on moduli and automorphisms of those objects. I'm also interested in the relation of such geometry to Deligne-Mostow theory.

Papers

1. Commensurability Among Deligne-Mostow Monodromy Groups (with Chenglong Yu), 2024
2. Finite Groups of Symplectic Automorphisms of Supersingular K3 surfaces in Odd Characteristics (with Bin Wang), 2024
3. Calabi-Yau Varieties via Cyclic Covers, and Complex Hyperbolic Structures for their Moduli Spaces (with Chenglong Yu), 2024
4. Degenerations to secant cubic hypersurfaces and limiting Hodge structure (with Renjie Lyu), 2022
5. The Complex Ball-quotient Structure of the Moduli Space of Certain Sextic Curves (with Yiming Zhong), Journal of the Mathematical Society of Japan, Vol. 76, No. 1 (23-50), 2024
6. Abelian Automorphism Groups of Quartic Surfaces and Cubic Fourfolds (with Tianzhen Peng), 2021
7. On Abelian Automorphism Groups of Hypersurfaces Israel J. of Math., Vol. 247 (479-498), 2022
8. Automorphisms and Periods of Cubic Fourfolds (with Radu Laza) Mathematische Zeitschrift, Vol. 300 (1455-1507), 2022
9. Moduli of Nodal Sextic Curves via Periods of K3 Surfaces (with Chenglong Yu) Advances in Mathematics, Vol. 430, Paper No. 109219, 2023
10. Moduli Spaces of Symmetric Cubic Fourfolds and Locally Symmetric Varieties (with Chenglong Yu) Alg. & Number Theory, Vol. 14, No. 10 (2647–2683) 2020
11. Orbifold Aspects of Certain Occult Period Maps Nagoya Math. J., Vol. 243 (137-156), 2021

Other writings

1. Slide classification of symplectic automorphism groups of smooth cubic fourfolds.
2. Research Statement 2018

Useful links