Yilong Wang

Personal Information

Yilong Wang

Assistant Professor

Contact Information
Beijing Institute of Mathematical Sciences and Applications (BIMSA)
Huairou, Beijing, China.

Email Address:
wyl AT bimsa DOT cn
If you don't see me reply in 3 days, try to use my alternative email address.


Research Interests
Quantum algebra, fusion/modular categories, topological quantum field theories, low-dimensional topology.
Thesis advisor: Thomas Kerler.
Postdoc mentor: Siu-Hung Ng.

BIMSA-Tsinghua Quantum Symmetry Seminar

Curriculum Vitae
Last updated on Jun 14, 2022.

Publications and Preprints
  1. Alterfold Topological Quantum Field Theory (with Zhengwei Liu, Shuang Ming and Jinsong Wu).
      arXiv: 2312.06477.

  2. 3-Alterfolds and quantum invariants (with Zhengwei Liu, Shuang Ming and Jinsong Wu).
      arXiv: 2307.12284.

  3. On symmetric representations of $\mathrm{SL}_2(\mathbb{Z})$ (with Siu-Hung Ng and Samuel Wilson).
    Proc. Amer. Math. Soc. 151 (2023), no. 4, 1415-1431.
      Journal link: Click here.

  4. The Witt classes of $\mathfrak{so}(2r)_{2r}$ (with Eric C. Rowell and Yuze Ruan).
    Comm. Algebra. 50 (2022), no. 12, 5246-5265.
      Journal link: Click here.

  5. Modular categories with transitive Galois actions (with Siu-Hung Ng and Qing Zhang).
    Comm. Math. Phys. 390 (2022), no. 3, 1271-1310.
      Journal link: Click here.

  6. Higher central charges and Witt groups (with Siu-Hung Ng, Eric C. Rowell and Qing Zhang).
    Adv. Math. 404 (2022), Paper No. 108388.
      Journal link: Click here.

  7. Classification of spherical fusion categories of Frobenius-Schur exponent 2 (with Zheyan Wan).
    Algebra Colloq. 28 (2021), no. 1, 39-50.
      Journal link: Click here .

  8. Higher Gauss sums of modular categories (with Siu-Hung Ng and Andrew Schopieray).
    Selecta Math. (N. S.) 25 (2019), no. 4, Art 53, 32pp.
      Journal link: Click here.

  9. On modular group representations associated to SO$(p)_2$-TQFTs.
    J. Knot Theory Ramifications 28 (2019), no. 5, 1950037, 20 pp.
      Journal link: Click here.

  10. Random walk invariants of string links from R-matrices (with Thomas Kerler).
    Algebr. Geom. Topol. 16 (2016), no. 1, 569--596.
      Journal link: Click here.

  11. On integrality of SO(n)-Level-2 TQFTs. Thesis
  1. On the positivity conjecture

  2. Prime factorizations in modular categories