Yilong Wang

Personal Information

Name
Yilong Wang

Position
Postdoc Researcher

Contact Information
Department of Mathematics
Louisiana State University
107 Lockett Hall
Baton Rouge, LA 70803

Email Address:
yilongwang@lsu.edu


Research

Reserach Interests
Modular tensor categories, topological quantum field theories, fusion categories, low-dimensional topology.
Thesis advisor: Thomas Kerler.
Postdoc mentor: Siu-Hung Ng.

Curriculum Vitae
Current CV (Last updated on Feb 8, 2021).

Publications and Preprints
  1. Modular categories with transitive Galois actions (with Siu-Hung Ng and Qing Zhang).
      arXiv: 2007.01366.

  2. Higher central charges and Witt groups (with Siu-Hung Ng, Eric C. Rowell and Qing Zhang).
      arXiv: 2002.03570.

  3. Classification of spherical fusion categories of Frobenius-Schur exponent 2 (with Zheyan Wan).
    Algebra Colloq. 28 (2021), no. 1, 39-50.
      arXiv: 1811.02004.

  4. 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 version: Click here.   arXiv: 1812.11234.

  5. 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.   arXiv: 1702.03798.

  6. 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.   arXiv: 1406.2722.

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

  2. Prime factorizations in modular categories

Teaching

Fall 2018
Math 1550 Calculus I. Syllabus

Fall 2019
Math 1550 Calculus I. Syllabus
Math 7290 Modular tensor categories and quantum invariants. (with Siu-Hung Ng).

Fall 2020
Math 2070 Mathematical Methods in Engineering.