BIMSA > Hao Zheng
Professor Hao Zheng

Affiliation: BIMSA , YMSC

Group: Mathematical Physics and General Relativity

Office: A3-3-302

Email: haozheng@bimsa.cn

Research Field: Low-dimensional Topology, Mathematical Physics, Representation Theory

Biography

Hao Zheng received his Ph.D. from Peking University in 2005, and then taught at Sun Yat-sen University, Peking University, Southern University of Science and Technology and Tsinghua University. Research directions include low-dimensional topology, representation theory, mathematical physics, etc. The main research achievements involve the representation and application of braided groups, the partial proof of the knot volume conjecture, the categorization of quantum group representations, the functoriality of the centers of fused categories, the centers of enriched categories, the classification of topologically ordered gapless boundaries, and high-dimensional topology Ordinal classification, high-dimensional fusion category theory, etc. He won the Zhong Jiaqing Mathematics Award in 2007.

Education Experience

  • 2000 - 2005      Peking University      Mathematics      Doctor      (Supervisor: Boju Jiang, Shicheng Wang)
  • 1992 - 1997      Peking University      Computer Software      Bachelor

Work Experience

  • 2021 -      BIMSA      Professor
  • 2021 -      Tsinghua University      Professor
  • 2019 - 2021      South University of Science and Technology of China      Research Fellow
  • 2010 - 2021      Peking University      Professor
  • 2008 - 2010      Sun Yat-sen University      Professor
  • 2005 - 2007      Sun Yat-sen University      Instructor

Honors and Awards

  • 2007      Zhong Jiaqing Mathematics Award

Publication

  • [1] Liang Kong, Hao Zheng, Categorical computation, Frontiers of Physics, 18(2023), 21302
  • [2] Liang Kong, Xiao-Gang Wen, Hao Zheng, One dimensional gapped quantum phases and enriched fusion categories, J. High Energ. Phys. (2022), no. 22, 32pp.
  • [3] Kong, L., & Zheng, H. (2022). Categories of quantum liquids I. Journal of High Energy Physics, 2022(8), 1-44.
  • [4] (with L. Kong) A mathematical theory of gapless edges of 2d topological orders, Part I, J. High Energ. Phys. (2020), no. 150, 62 pp.
  • [5] (with L. Kong) Categories of topological orders I, arXiv:2011.02859.
  • [6] (with L. Kong) The center functor is fully faithful, Adv. Math. 339 (2018), 749–779.
  • [7] (with L. Kong, X.-G. Wen) Boundary-bulk relation in topological orders, Nucl. Phys. B 922 (2017), 62–76.
  • [8] Categorification of integrable representations of quantum groups, Acta Math. Sin. (Engl. Ser.) 30 (2014), no. 6, 899–932.
  • [9] (with B. Jiang) A trace formula for the forcing relation of braids, Topology 47 (2008), no. 1, 51–70.

 

Update Time: 2024-09-12 17:18:06