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. Explicit Finite p-Group Counterexamples to the Amit--Ashurst Conjecture (with Shihao Wang), 2026
2. A Counterexample to Huppert's Conjecture (with Shihao Wang), 2026
3. Finite Symplectic Automorphism Groups of K3 Surfaces in Characteristic Seven (with Bin Wang), 2026
4. A Sharp Bound for the Second Betti Number of Hyperkähler Sixfolds (with Jie Fu, Bin Wang, Shihao Wang), 2026
5. Finite Symplectic Automorphisms of Hyperkähler Manifolds of K3^[n]-Type Act Trivially on Discriminant Groups (with Jie Fu, Shihao Wang), 2026
6. A Proof of Mongardi's Conjecture on Finite Symplectic Group Actions on Hyperkähler Manifolds of K3^{[n]} Type (with Jie Fu, Shihao Wang), 2026
7. Classification of Automorphism Groups of Smooth Cubic Threefolds and Fourfolds (with Jie Fu, Shihao Wang), 2026
8. Small-Subgroup Criteria for Liftability of Automorphism Groups of Smooth Hypersurfaces (with Baiting Xie), 2026
9. Automorphism Groups of Smooth Cubic Fourfolds through Lattice Theory (with Jie Fu), 2026
10. Monodromy Eigenvalues of Milnor Fibers for Line Arrangements (with Baiting Xie, Chenglong Yu), 2026
11. Sylow Criteria for Liftability of Automorphism Groups of Smooth Hypersurfaces (with Baiting Xie), 2026
12. Non-symplectic Indices of Automorphism Groups of Smooth Cubic Fourfolds (with Jie Fu, Shihao Wang), 2026
13. Double integrals and transformation formulas for Appell-Lauricella hypergeometric functions $F_D$ (with Shihao Wang, Chenglong Yu), 2026
14. Cubic Fourfolds with an Order-7 Automorphism (with Xuancong He, Yi Li, Shihao Wang), 2025
15. A Lemma on Leech-like Lattices 2025
16. Moduli spaces of sextic curves with simple singularities and their compactifications (with Chenglong Yu,Yiming Zhong), 2025
17. Commensurability Among Deligne-Mostow Monodromy Groups (with Chenglong Yu), 2024
18. Finite Groups of Symplectic Automorphisms of Supersingular K3 surfaces in Odd Characteristics (with Bin Wang), 2024
19. Calabi-Yau Varieties via Cyclic Covers, and Complex Hyperbolic Structures for their Moduli Spaces (with Chenglong Yu), 2024
20. Degenerations to secant cubic hypersurfaces and limiting Hodge structure (with Renjie Lyu), to appear in Algebraic Geometry
21. 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
22. Abelian Automorphism Groups of Quartic Surfaces and Cubic Fourfolds (with Tianzhen Peng), 2021
23. On Abelian Automorphism Groups of Hypersurfaces Israel J. of Math., Vol. 247 (479-498), 2022
24. Automorphisms and Periods of Cubic Fourfolds (with Radu Laza) Mathematische Zeitschrift, Vol. 300 (1455-1507), 2022
25. Moduli of Nodal Sextic Curves via Periods of K3 Surfaces (with Chenglong Yu) Advances in Mathematics, Vol. 430, Paper No. 109219, 2023
26. Moduli Spaces of Symmetric Cubic Fourfolds and Locally Symmetric Varieties (with Chenglong Yu) Alg. & Number Theory, Vol. 14, No. 10 (2647–2683) 2020
27. 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