周正一(Zhengyi Zhou) 

Morningside Center of Mathematics & Institute of Mathematics, AMSS,  Chinese Academy of Sciences,

No.55 ZhongGuanCun East Road, Beijing 100190, P. R. China.

E-mail: zhyzhou@amss.ac.cn

Website: https://sites.google.com/view/zhengyizhou/

Employment

2021.7--          Morningside Center of Mathematics & Institute of Mathematics, CAS, Associate Professor

2018.9--2021.7   Institute for Advanced Study, Postdoctoral Member

Education

2013-2018  PhD. in Mathematics, UC Berkeley, Advisor: K. Wehrheim

2009-2013  Undergraduate, Department of Mathematics, Nanjing University 

Research Interests

Symplectic and contact topology

Pulications

1. Asymptotically holomorphic theory for symplectic orbifolds. Joint with  Fabio Gironella  and Vicente Muñoz， arXiv:2201.09362.

2. Infinite not contact isotopic embeddings in (S^2n−1,ξ_std) for n≥4 . arXiv:2112.07905.

3. Exact orbifold fillings of contact manifolds. Joint with Fabio Gironella, arXiv:2108.12247.

4. A landscape of contact manifolds via rational SFT. Joint with Agustin Moreno, arXiv:2012.04182.

5. On the minimal symplectic area of Lagrangians. arXiv:2012.03134.

6. On filings of ∂(V×D) . To appear in Mathematische Annalen.

7. (RP^2n−1,ξ_std) is not exactly fillable for n≠2^k. Geometry & Topology 25-6 (2021), 3013--3052.

8. Symplectic fillings of asymptotically dynamically convex manifolds II--k-dilations. arXiv:1910.06132.

9. Symplectic fillings of asymptotically dynamically convex manifolds I. Journal of Topology. 2021 Mar;14(1):112-182.

10. Morse-Bott cohomology from homological perturbation theory. arXiv:1902.06587.

11. On the cohomology ring of symplectic fillings.To appear in Algebraic & Geometric Topology.

12. Quotient theorems in polyfold theory and S1-equivariant transversality. Proceedings of the London Mathematical Society. 2020 Nov;121(5):1337-1426.

13. Counterexamples in scale calculus. Joint with Benjamin Filippenko and Katrin Wehrheim. Proceedings of the National Academy of Sciences 116, no. 18 (2019): 8787-8797.

14. Vanishing of symplectic homology and obstruction to flexible fillability. International Mathematics Research Notices. 2020; 2020(23):9717-9729.