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
Topological quantum field theories, tensor categories, (quasi-)Hopf algebras, low-dimensional topology.
PhD Advisor: Thomas Kerler

Curriculum Vitae
Current CV (Updated Nov 13, 2018)

Publications and Preprints
  1. Higher Gauss sums of modular categories (with Siu-Hung Ng and Andrew Schopieray).
      arXiv: 1812.11234

  2. Classification of spherical fusion categories of Frobenius-Schur exponent 2 (with Zheyan Wan). Submitted.
      arXiv: 1811.02004

  3. On modular group representations associated to SO(p)2-TQFTs. Submitted.
      arXiv: 1702.03798

  4. Random walk invariants of string links from R-matrices (with Thomas Kerler). Algebr. Geom. Topol. 16 (2016), no. 1, 569--596.
      Journal link: https://projecteuclid.org/euclid.agt/1510841120
      arXiv: 1406.2722

  5. 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