Symplectic Topology
Morningside Center of Mathematics, Academy of Mathematics and Systems Science, Chinese Academy of Sciences
Address: Morningside Center of Mathematics, No.55, Zhongguancun East Road, Beijing, 100190, China
Research Interest: Symplectic Topology. In particular, Symplectic Field Theory and its applications to symplectic cobordism categories.
Education
1. B.S. Nanjing University, China, 2009-2013.
2. Ph.D. University of California, Berkeley, 2013-2018. Thesis Advisor: Katrin Wehrheim.
Employment
1. September 2018-July 2021, Member, Institute for Advanced Study, Princeton.
2. July 2021-Present, Associate Professor (Tenure Track), Academy of Mathematics and Systems Science, Chinese Academy of Science.
Papers and preprints
1. Asymptotically holomorphic theory for symplectic orbifolds (2022). Joint with Fabio Gironella and Vicente Muñoz, arXiv:2201.09362, submitted.
2. Infinite not contact isotopic embeddings in (S2n−1,ξstd) for n≥4 (2021). To appear in Bulletin of the London Mathematical Society.
3. Exact orbifold fillings of contact manifolds (2021). Joint with Fabio Gironella, arXiv:2108.12247, submitted.
4. A landscape of contact manifolds via Rational SFT (2020). Joint with Agustin Moreno, arXiv:2012.04182, submitted.
5. On the minimal symplectic area of Lagrangians (2020). To appear in Journal of Symplectic Geometry.
6. On filings of ∂(V×D) (2020). To appear in Mathematische Annalen.
7. (RP2n−1,ξstd) is not exactly fillable for n≠2k (2020). Geometry & Topology 25 (2021) 3013–3052.
8. Symplectic fillings of asymptotically dynamically convex manifolds II--k-dilations (2019). Advances in Mathematics 406, September 2022, 108522
9. Symplectic fillings of asymptotically dynamically convex manifolds I (2019). Journal of Topology. 2021 Mar;14(1):112-182.
10. Morse-Bott cohomology from homological perturbation theory (2019). arXiv:1902.06587, submitted.
11. On the cohomology ring of symplectic fillings (2019). To appear in Algebraic and Geometric Topology.
12. Quotient theorems in polyfold theory and S1-equivariant transversality (2018). Proceedings of the London Mathematical Society. 2020 Nov;121(5):1337-1426.
13. Counterexamples in scale calculus (2018). 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 (2017). International Mathematics Research Notices. 2020; 2020(23):9717-9729.
研究方向
辛几何与切触拓扑
教育经历
2013 年 9 月–2018 年 8 月 ，加州大学伯克利分校，美国加州伯克利，数学博士
导师：Katrin Wehrheim 教授，
论文题目：Morse-Bott and equivariant theories using polyfolds
2009 年 9 月–2013 年 5 月，南京大学，中国江苏南京，数学与应用数学学士
工作经历
2024 年 4 月–至今，中国科学院数学与系统科学研究院，中国北京，晨兴数学中心 & 数学研究所，长聘副教授
2021 年 8 月–2024 年 4 月，晨兴数学中心 & 数学研究所，预聘副教授
2018 年 9 月–2021 年 7 月，普林斯顿高等研究院，美国新泽西普林斯顿，数学学院成员（博士后），合作导师：Helmut Hofer 教授
教学经历
辛几何导论 2024 年春季，2025 年春季
辛几何专题 2022 年秋季
多变量微积分研究生助教 2018 年春季，2016 年秋季，2015 年秋季，2014 年秋季，2014
年夏季，2014 年春季
文章与预印本
• “Algebraic planar torsion in contact manifolds.” arXiv:2603.06031.
• “Unknottedness of symplectic submanifolds and intersection theory” arXiv:2506.06807, 已
投稿.
• (与李驰合作) “Minimal log discrepancy and orbifold curves” 即将发表于 J. Math. Study.
Special Issue for G. Tian’s birthday.
• (与李驰合作) “Kähler compactification of C n and Reeb dynamics” Invent. math. 243,
181-208 (2026).
• (与方汉隆, 黄孝军, 尹万科合作) “Bounding smooth Levi-flat hypersurfaces in a Stein
manifold” arXiv:2409.08470, 已投稿.
• (与 R. Avdek 合作) “Bourgeois’ contact manifolds are tight.” arXiv:2404.16311.
• (与李友林合作) “Algebraically overtwisted tight 3-manifolds from +1 surgeries.” Bull.
London Math. Soc., 57 (2025): 534-550.
• (与 A. Moreno 合作) “RSFT functors for strong cobordisms and applications.” 即将发表
于 J. Symp. Geom.
1• “Contact (+1)-surgeries and algebraic overtwistedness.” arXiv:2307.12635, 已投稿.
• “A note on contact manifolds with infinite fillings.” Arnold Math. J. 10, 423-430, (2024).
• (与 J. Bowden, F. Gironella, A. Moreno 合作) “Tight contact structures without sym
plectic fillings are everywhere.” arXiv:2211.03680, 已投稿，J. Eur. Math. Soc. 修订
中.
• “On the intersection form of fillings.” J. Lond. Math. Soc., 110, No.3, e12981, 30 p.
(2024).
• “On fillings of contact links of quotient singularities.” J. Topol. 17, No. 1, Article ID
e12329, 53 p. (2024).
• (与 F. Gironella, V. Muñoz 合作) “Asymptotically holomorphic theory for symplectic
orbifolds.” Math. Z. 304, No. 1, Paper No. 21, 33 p. (2023).
• “Infinite not contact isotopic embeddings in (S 2n−1 , ξstd) for n ≥ 4” Bull. London Math.
Soc. 55, no.1 (2023): 149-155.
• (与 F. Gironella 合作) “Exact orbifold fillings of contact manifolds.” arXiv:2108.12247, 已
投稿.
• (与 A. Moreno 合作) “A landscape of contact manifolds via rational SFT.” Geom. Topol.
29-7 (2025), 3465-3565.
• “On the minimal symplectic area of Lagrangians.” J. Symp. Geom. 20, no.6 (2022),
1385-1413.
• “On fillings of ∂(V × D).” Math. Ann. 385, 1493-1520 (2023).
• “(RP2n−1 , ξstd) is not exactly fillable for n = 2k .” Geom. Topol. 25-6 (2021), 3013-3052.
• “Symplectic fillings of asymptotically dynamically convex manifolds II - k-dilations.” Adv.
Math. 406 (2022).
• “Symplectic fillings of asymptotically dynamically convex manifolds I.” J. Topol. 14, no.1
(2021): 112-182.
• “Morse-Bott cohomology from homological perturbation theory.” Algebr. Geom. Topol.
24-3 (2024), 1321-1429.
• “On the cohomology ring of symplectic fillings.” Algebr. Geom. Topol. 23 (2023) 1693-
1724.
• “Quotient of polyfolds and S 1 equivariant transversality.” Proc. London Math. Soc. 121,
no.5 (2020): 1337-1426.
• (与 B. Filippenko, K. Wehrheim 合作) “Counterexamples in scale calculus.” Proc. Natl.
Acad. Sci. USA 116, no.18 (2019): 8787-8797.
• “Vanishing of symplectic homology and obstruction to flexible fillability.” Int. Math. Res.
Not. 2020, no.23 (2020): 9717-9729.
