Beijing Institute of Mathematical Sciences and Applications Beijing Institute of Mathematical Sciences and Applications

  • About
    • President
    • Governance
    • Partner Institutions
    • Visit
  • People
    • Management
    • Faculty
    • Postdocs
    • Visiting Scholars
    • Staff
  • Research
    • Research Groups
    • Courses
    • Seminars
  • Join Us
    • Faculty
    • Postdocs
    • Students
  • Events
    • Conferences
    • Workshops
    • Forum
  • Life @ BIMSA
    • Accommodation
    • Transportation
    • Facilities
    • Tour
  • News
    • News
    • Announcement
    • Downloads
About
President
Governance
Partner Institutions
Visit
People
Management
Faculty
Postdocs
Visiting Scholars
Staff
Research
Research Groups
Courses
Seminars
Join Us
Faculty
Postdocs
Students
Events
Conferences
Workshops
Forum
Life @ BIMSA
Accommodation
Transportation
Facilities
Tour
News
News
Announcement
Downloads
Qiuzhen College, Tsinghua University
Yau Mathematical Sciences Center, Tsinghua University (YMSC)
Tsinghua Sanya International  Mathematics Forum (TSIMF)
Shanghai Institute for Mathematics and  Interdisciplinary Sciences (SIMIS)
BIMSA > Chun Chen

Chun Chen

     Postdoc    
Postdoc Chun Chen

Group: Mathematical Physics

Office: A3-3-101

Email: chunhaochen@bimsa.cn

Research Field: Mathematical Physics

Webpage: http://bimsa.net/people/HankChen/

CV

Research Interest


  • Quantum algebras and representations
  • Topological quantum field theory
  • Integrable field theory and lattice systems
  • Category theory

Education Experience


  • 2012 - 2017      Simon Fraser University      Mathematical Physics Honours      B.Sc.      Concentration: quantum Hall effects in graphene      (Supervisor: Malcolm Kennett)
  • 2017 - 2019      McMaster University      Physics and Astronomy      M.Sc.      Concentration: chiral superconductivity      (Supervisor: Catherine Kallin)
  • 2020 - 2024      University of Waterloo      Applied Mathematics      Ph.D      Concentration: quantum algebras and categorification      (Supervisor: Florian Girelli)

Honors and Awards


  • 2024      Ontario graduate scholarship      UWaterloo
  • 2024      President’s graduate scholarship      UWaterloo
  • 2023      QEII-GSST      UWaterloo
  • 2023      Ontario graduate scholarship      UWaterloo
  • 2023      President’s graduate scholarship      UWaterloo

Publication


  • [1] Hank Chen, Combinatorial quantization of 4d 2-Chern-Simons theory I: the Hopf category of higher-graph states (2025)
  • [2] Hank Chen, Categorical quantum symmetries and ribbon tensor 2-categories (2025)
  • [3] Hank Chen, Joaquin Liniado, Higher Gauge Theory and Integrability, 110(086017) (2024)
  • [4] Hank Chen, Florian Girelli, Integrability from categorification and the 2-Kac-Moody algebra (2024)
  • [5] Hank Chen, Drinfel'd double symmetry of the 4d Kitaev model, JHEP, 2023, 141 (2023)
  • [6] Hank Chen, Florian Girelli, Categorical Quantum Groups and Braided Monoidal 2-Categories (2023)
  • [7] Hank Chen, Florian Girelli, Categorified Drinfel’d double and BF theory: 2-groups in 4D, PRD, 106, 105017 (2022)
  • [8] Hank Chen, Florian Girelli, Gauging the Gauge and Anomaly Resolution (2022)
  • [9] Hank Chen, Lieb–Schultz–Mattis theorem and the filling constraint, 111, 139 (2021)
  • [10] Hank Chen, Matthew R. C. Fitzpatrick, Sujit Narayanan, Bitan Roy, Malcolm P. Kennett, Interacting quantum Hall states in a finite graphene flake and at finite temperature, PRB, 102, 205401 (2020)

My research interests concerns the interplay between physics, algebra and geoemtric topology exemplified by the following closely related phenomena:

  1. as observed by Witten, the Wilson lines in 3d topological quantum field theories (TQFTs), such as Chern-Simons theories at integral level, form braided tensor categories,
  2. as observed by Jones, the observables in 2d integrable quantum spin systems/field theories (IFTs) produce knot invariants.

These results turn out to be very closely related through properties of the quantum group Hopf algebras underlying the TQFTs and IFTs. As such, such structures play very central roles in my research. 

Specifically, I am currently working on a categoification of the above phenomena to 4-dimensions, which is summarized by the following diagram.


My approach is based on a categorification of Hopf algebras that allows one to produce 4d TQFTs (such as higher-Chern-Simons theories and Poisson AKSZ models) and 3d IFTs, and whose modules are briaded monoidal higher categories. The goal is to construct novel 4d topological invariants from such theories, and to relate these to knot categorification.

 

Update Time: 2025-05-20 15:34:26


Beijing Institute of Mathematical Sciences and Applications
CONTACT

No. 544, Hefangkou Village Huaibei Town, Huairou District Beijing 101408

北京市怀柔区 河防口村544号
北京雁栖湖应用数学研究院 101408

Tel. 010-60661855
Email. administration@bimsa.cn

Copyright © Beijing Institute of Mathematical Sciences and Applications

京ICP备2022029550号-1

京公网安备11011602001060 京公网安备11011602001060