Projects per year
Personal profile
Personal profile
Research interests
Algebraic Topology (Toric Topology)
Experience
Postdoc, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, 2015-2017
Teaching
Calculus/Analysis, XJTLU, 2017--present
MTH013, XJTLU, 2017 Autumn
MTH008, XJTLU, 2017 Spring, 2018 Spring
Education/Academic qualification
B.S., Math, Wuhan University, Hubei, China, 2004-2008
M.S., Math, Fudan University, Shanghai, China, 2008-2011 (Thesis: On the homology of generalized momeng-angle complexes, supervised by Prof. Zhi L\"{u})
Ph.D. , Kyushu University, Fukuoka, Japan, 2011-2014 (Thesis: Cup and cap products in real moment-angle manifolds, supervised by Prof. Osamu Saeki)
Person Types
- Staff
Fingerprint
Dive into the research topics where Li Cai is active. These topic labels come from the works of this person. Together they form a unique fingerprint.
Collaborations and top research areas from the last five years
Recent external collaboration on country/territory level. Dive into details by clicking on the dots or
Projects
- 2 Finished
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Toric topology and the enumeration of lattice points in convex polytopes
1/01/19 → 31/12/21
Project: Governmental Research Project
Research output
- 5 Article
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On the graph products of simplicial groups and connected Hopf algebras
Cai, L., 1 Jun 2024, In: Journal of Algebra. 647, p. 99-143 45 p.Research output: Contribution to journal › Article › peer-review
Open Access -
Integral cohomology groups of real toric manifolds and small covers
Cai, L. & Choi, S., 1 Jul 2021, In: Moscow Mathematical Journal. 21, 3, p. 467-492 26 p.Research output: Contribution to journal › Article › peer-review
Open Access -
On the KO –groups of toric manifolds
Cai, L., Choi, S. & Park, H., 2020, In: Algebraic and Geometric Topology. 20, 5, p. 2589-2607 19 p.Research output: Contribution to journal › Article › peer-review
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On products in a real moment-angle manifold
Cai, L., 2017, In: Journal of the Mathematical Society of Japan. 69, 2, p. 503-528 26 p.Research output: Contribution to journal › Article › peer-review
Open Access -
Norm minima in certain Siegel leaves
Cai, L., 23 Mar 2015, In: Algebraic and Geometric Topology. 15, 1, p. 445-466 22 p.Research output: Contribution to journal › Article › peer-review
Open Access
Activities
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On Bar Constructions and Polyhedral Products
Li Cai (Speaker)
2 Aug 2024Activity: Talk or presentation › Presentation at conference/workshop/seminar
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The 25th East China Topology Conference
Fangting Zheng (Organiser), Li Cai (Organiser), Alastair Darby (Organiser), Ye Liu (Organiser), Gang Liu (Organiser), Robert Tang (Organiser) & Yuhang Liu (Participant)
16 Dec 2023Activity: Participating in or organising an event › Participating in an event e.g. a conference, workshop, …
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Graph products of spaces, groups and Hopf algebras
Li Cai (Speaker)
29 Aug 2023Activity: Talk or presentation › Presentation at conference/workshop/seminar