Sheng Tan

About

Sheng Tan

I am a lecturer at Capital Normal University. Prior to my current position, I was a postdoc at the Beijing Institute of Mathematical Sciences and Applications (BIMSA). I received my PhD in Mathematics from Purdue University in May 2023. My PhD advisor was Uli Walther.

Email: tansheng@cnu.edu.cn Affiliation: Capital Normal University CV arXiv

Research

  • Topological quantum field theory
  • Tensor categories, weak Hopf algebras
  • Topological phases, lattice models
  • Algebraic geometry, D-modules, monodromy

Publications

  1. Topological quantum color code model on infinite lattice (with Shiyu Cao and Zhian Jia), Lett. Math. Phys., 116 (2026), 124. [arXiv]
  2. Weak Hopf tube algebra for domain walls between 2d gapped phases of Turaev-Viro TQFTs (with Zhian Jia), JHEP 11 (2025), 018. [arXiv]
  3. Antilinear superoperator and quantum geometric invariance for higher dimensional quantum systems (with Lu Wei, Zhian Jia, and Dagomir Kaszlikowski), Quant. Inf. Proc. 23 (2024), 290. [arXiv]
  4. Weak Hopf symmetry and tube algebra of the generalized multifusion string-net model (with Zhian Jia and Dagomir Kaszlikowski), JHEP 07 (2024), 207. [arXiv]
  5. Electric-magnetic duality and Z2 symmetry enriched Abelian lattice gauge theory (with Zhian Jia and Dagomir Kaszlikowski), J. Phys. A 57 (2024), 255203. [arXiv]
  6. On weak Hopf symmetry and weak Hopf quantum double model (with Zhian Jia, Dagomir Kaszlikowski, and Liang Chang), Comm. Math. Phys. 402 (2023), 3045–3107. [arXiv]
  7. Boundary and domain wall theories of 2d generalized quantum double model (with Zhian Jia and Dagomir Kaszlikowski), JHEP 07 (2023), 160. [arXiv]

Preprints

  1. Generalized comodule tube algebras for boundary and domain wall defects of (2+1)D topological order (with Zhian Jia), preprint (2026). [arXiv]
  2. The multivariable strong monodromy conjecture for plane curves, preprint (2026). [arXiv]
  3. Derived reconstruction of semisimple tensor and module categories, preprint (2026). [arXiv]
  4. Characteristic cycles and the Gevrey filtration of irregularity in hypergeometric families, preprint (2026). [arXiv]
  5. Finiteness of Fuchsian equations with unitarizable monodromy on compact Riemann surfaces, preprint (2026). [arXiv]

Teaching

  • Fall 2026: Advanced Mathematics A1.

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