I am an associate professor at the Morningside Center of Mathematics and the Institute of Mathematics of AMSS, CAS.
I graduated from UC Berkeley under the supervision of Professor Katrin Wehrheim. After that, I spent 3 years as a postdoctoral member at the Institute for Advanced Study working with Professor Helmut Hofer.
I am interested in symplectic topology, more specifically, symplectic field theory and its applications. Here is my CV.
Email: zhyzhou@amss.ac.cn or zhengyizhounju@gmail.com.
Preprints
Kähler compactification of C^n and Reeb dynamics (arXiv 2024). Joint with Chi Li, 17 pp.
Bounding smooth Levi-flat hypersurfaces in a Stein manifold (arXiv 2024). Joint with Hanlong Fang, Xiaojun Huang, and Wanke Yin, 36pp.
Bourgeois' contact manifolds are tight (arXiv 2024). Joint with Russell Avdek, 33 pp.
RSFT functors for strong cobordisms and applications (arXiv 2023). Joint with Agustin Moreno, 29pp.
Contact (+1)-surgeries and algebraic overtwistedness (arXiv 2023). 22pp.
Tight contact structures without symplectic fillings are everywhere (arXiv 2022). Joint with Jonathan Bowden, Fabio Gironella, and Agustin Moreno, 27pp. Quanta article.
Exact orbifold fillings of contact manifolds (arXiv 2021). Joint with Fabio Gironella, 57pp.
Publications
Algebraically overtwisted tight 3-manifolds from +1 surgeries (arXiv 2024). Joint with Youlin Li, 14 pp., to appear in Bulletin of the London Mathematical Society.
A note on contact manifolds with infinite fillings (arXiv 2023). Arnold Mathematical Journal, Volume 10, pages 423–430, (2024).
On the intersection form of fillings (arXiv 2022). Journal of the London Mathematical Society, 110, No.3, e12981, 30 p. (2024).
On fillings of contact links of quotient singularities (arXiv 2022). Journal of Topology 17, No. 1, Article ID e12329, 53 p. (2024).
Asymptotically holomorphic theory for symplectic orbifolds (arXiv 2022). Joint with Fabio Gironella and Vicente Muñoz, Mathematische Zeitschrift 304, No. 1, Paper No. 21, 33 p. (2023).
Infinite not contact isotopic embeddings in (S^{2n−1},\xi_{std}) for n\ge 4 (arXiv 2021). Bulletin of the London Mathematical Society. 2023 Feb; 55(1):149-155.
A landscape of contact manifolds via rational SFT (arXiv 2020). Joint with Agustin Moreno, 86 pp., to appear in Geometry & Topology.
On the minimal symplectic area of Lagrangians (arXiv 2020). Journal of Symplectic Geometry, Vol.20, No.6 (2022), pp.1385-1413.
On filings of \partial(V\times \mathbb{D}) (arXiv 2020). Mathematische Annalen 385, 1493–1520 (2023).
(\mathbb{RP}^{2n-1},\xi_{std}) is not exactly fillable for n \ne 2^k (arXiv 2020). Geometry & Topology 25-6 (2021), 3013--3052.
Symplectic fillings of asymptotically dynamically convex manifolds II--k-dilations (arXiv 2019). Advances in Mathematics 406 (2022) 108522.
Symplectic fillings of asymptotically dynamically convex manifolds I (arXiv 2019). Journal of Topology. 2021 Mar;14(1):112-182.
Morse-Bott cohomology from homological perturbation theory (arXiv 2019). Algebraic & Geometric Topology 24-3 (2024), 1321--1429.
On the cohomology ring of symplectic fillings (arXiv 2019). Algebraic & Geometric Topology. 23 (2023) 1693–1724.
Quotient theorems in polyfold theory and S^1-equivariant transversality (arXiv 2018). Proceedings of the London Mathematical Society. 2020 Nov;121(5):1337-1426.
Counterexamples in scale calculus (arXiv 2018). Joint with Benjamin Filippenko and Katrin Wehrheim. Proceedings of the National Academy of Sciences 116, no. 18 (2019): 8787-8797.
Vanishing of symplectic homology and obstruction to flexible fillability (arXiv 2017). International Mathematics Research Notices. 2020; 2020(23):9717-9729.
中文科普
曲率与纽结--一个几何与拓扑的故事，中国科学院科学公开课第六季。
数学中的“太极”：切触几何的柔与刚，返朴公众号。
三角往事，《认识数学 1》，席南华主编，科学出版社，ISBN: 9787030742025。