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.

News

Papers

1. Non-symplectic Indices of Automorphism Groups of Smooth Cubic Fourfolds (with Jie Fu, Shihao Wang), 2026
2. Double integrals and transformation formulas for Appell-Lauricella hypergeometric functions $F_D$ (with Shihao Wang, Chenglong Yu), 2026
3. Cubic Fourfolds with an Order-7 Automorphism (with Xuancong He, Yi Li, Shihao Wang), 2025
4. A Lemma on Leech-like Lattices 2025
5. Moduli spaces of sextic curves with simple singularities and their compactifications (with Chenglong Yu,Yiming Zhong), 2025
6. Commensurability Among Deligne-Mostow Monodromy Groups (with Chenglong Yu), 2024
7. Finite Groups of Symplectic Automorphisms of Supersingular K3 surfaces in Odd Characteristics (with Bin Wang), 2024
8. Calabi-Yau Varieties via Cyclic Covers, and Complex Hyperbolic Structures for their Moduli Spaces (with Chenglong Yu), 2024
9. Degenerations to secant cubic hypersurfaces and limiting Hodge structure (with Renjie Lyu), to appear in Algebraic Geometry
10. 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
11. Abelian Automorphism Groups of Quartic Surfaces and Cubic Fourfolds (with Tianzhen Peng), 2021
12. On Abelian Automorphism Groups of Hypersurfaces Israel J. of Math., Vol. 247 (479-498), 2022
13. Automorphisms and Periods of Cubic Fourfolds (with Radu Laza) Mathematische Zeitschrift, Vol. 300 (1455-1507), 2022
14. Moduli of Nodal Sextic Curves via Periods of K3 Surfaces (with Chenglong Yu) Advances in Mathematics, Vol. 430, Paper No. 109219, 2023
15. Moduli Spaces of Symmetric Cubic Fourfolds and Locally Symmetric Varieties (with Chenglong Yu) Alg. & Number Theory, Vol. 14, No. 10 (2647–2683) 2020
16. Orbifold Aspects of Certain Occult Period Maps Nagoya Math. J., Vol. 243 (137-156), 2021

Other writings

1. Textbook with Chenglong Yu on linear algebra (in Chinese), Comments Welcome!
2. Slide classification of symplectic automorphism groups of smooth cubic fourfolds.
3. Research Statement 2018

Homepage of some of my collaborators (alphabetical)

Seminar information

Useful links