Yilong Wang

Personal Information

Name

Yilong Wang

Position

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

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

Notes

1. On the positivity conjecture


2. Prime factorizations in modular categories

Teaching