周正一
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.