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. Classification of Automorphism Groups of Smooth Cubic Threefolds and Fourfolds (with Jie Fu, Shihao Wang), 2026
2. Small-Subgroup Criteria for Liftability of Automorphism Groups of Smooth Hypersurfaces (with Baiting Xie), 2026
3. Automorphism Groups of Smooth Cubic Fourfolds through Lattice Theory (with Jie Fu), 2026
4. Monodromy Eigenvalues of Milnor Fibers for Line Arrangements (with Baiting Xie, Chenglong Yu), 2026
5. Sylow Criteria for Liftability of Automorphism Groups of Smooth Hypersurfaces (with Baiting Xie), 2026
6. Non-symplectic Indices of Automorphism Groups of Smooth Cubic Fourfolds (with Jie Fu, Shihao Wang), 2026
7. Double integrals and transformation formulas for Appell-Lauricella hypergeometric functions $F_D$ (with Shihao Wang, Chenglong Yu), 2026
8. Cubic Fourfolds with an Order-7 Automorphism (with Xuancong He, Yi Li, Shihao Wang), 2025
9. A Lemma on Leech-like Lattices 2025
10. Moduli spaces of sextic curves with simple singularities and their compactifications (with Chenglong Yu,Yiming Zhong), 2025
11. Commensurability Among Deligne-Mostow Monodromy Groups (with Chenglong Yu), 2024
12. Finite Groups of Symplectic Automorphisms of Supersingular K3 surfaces in Odd Characteristics (with Bin Wang), 2024
13. Calabi-Yau Varieties via Cyclic Covers, and Complex Hyperbolic Structures for their Moduli Spaces (with Chenglong Yu), 2024
14. Degenerations to secant cubic hypersurfaces and limiting Hodge structure (with Renjie Lyu), to appear in Algebraic Geometry
15. 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
16. Abelian Automorphism Groups of Quartic Surfaces and Cubic Fourfolds (with Tianzhen Peng), 2021
17. On Abelian Automorphism Groups of Hypersurfaces Israel J. of Math., Vol. 247 (479-498), 2022
18. Automorphisms and Periods of Cubic Fourfolds (with Radu Laza) Mathematische Zeitschrift, Vol. 300 (1455-1507), 2022
19. Moduli of Nodal Sextic Curves via Periods of K3 Surfaces (with Chenglong Yu) Advances in Mathematics, Vol. 430, Paper No. 109219, 2023
20. Moduli Spaces of Symmetric Cubic Fourfolds and Locally Symmetric Varieties (with Chenglong Yu) Alg. & Number Theory, Vol. 14, No. 10 (2647–2683) 2020
21. 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