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 (Papers at arXiv.org)

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