Profile


Li Cai
  • Qualifications

    • 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)
  • Experience

    • Postdoc, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, 2015-2017
  • Research interests

    • Algebraic Topology (Toric Topology)
  • Articles

    • L. Cai and S. Choi, Integral cohomology groups of real toric manifolds and small covers, submitted (2017). arXiv:1604.06988
    • L. Cai, On products in a real moment-angle manifold, Journal of the Mathematical Society of Japan, 69(2) (2017), 503–528. arXiv:1410.5543
    • L. Cai, Norm minima in certain Siegel leaves, Algebraic & Geometric Topology 15(1) (2015), 445–466. arXiv:1404.1575
  • Conference presentations

    • Torsion-free small covers, Workshop on Algebraic Topology and Geometric Topology, Dalian University of Technology, 2018.08.09-2018.08.13
    • A survey on special unitary cobordism, Workshop on algebraic and geometric topology in Nankai University, 2017.06.18-2017.06.23
    • On the homology of a small cover, Princeton-Rider workshop “On the homotopy theory of polyhedral products”, 2017.05.29-2017.06.02
  • Teaching activities

    • Calculus, XJTLU, 2017-present
  • Courses taught

    • MTH013, XJTLU, 2017 Autumn
    • MTH008, XJTLU, 2017 Spring, 2018 Spring
  • Telephone

    +86 (0)512 8188 4772
  • Email

    Li.Cai@xjtlu.edu.cn
  • Address

    MB221,  111 Ren’ai Road
    Suzhou Dushu Lake Science and Education Innovation District
    Suzhou Industrial Park
    Suzhou
    P.R.China
    215123