Interests

  • Mathematical Physics; Conformal Field Theory, scaling limit of quantum many-body systems

  • Quantum algebra; TQFT, tensor categories and Hopf monads

  • Quantum computing

Publications

  1. Quantum Computing with Octonions
    Joint with Michael Freedman & Zhenghan Wang; Peking Mathematical Journal, Accepted with minor revisions (2019)

  2. On Generalized Symmetries and Structure of Modular Categories
    Joint with Shawn X. Cui & Zhenghan Wang; Science China Mathematics (2019)

  3. Conformal Field Theory as Scaling limit of Anyonic Chains
    Joint with Zhenghan Wang; Communications in Mathematical Physics (2018)

Pre-prints

Talks/Seminars:

  • Quantum Algebra and Quantum Topology; AMS Sectional Meeting at Purdue University (Invited), 2020

  • NCGOA Spring Institute 2019 & 34th Shanks Lecture, Vanderbilt University, 2019 (Invited)

  • Subfactor and NCGOA Seminars; Vanderbilt University, 2017 (Invited)

  • Special Session on ‘‘Fusion Categories and Quantum Symmetries’’, Joint Mathematics Meeting, Atlanta, 2017 (Invited)

  • Mathematics Department Quantum Algebra/Topology Seminar, UCSB:

    • Hopf Monads and Classification of Fusion Categories (2018)

    • Conformal Welding (2017)

    • Efficient Simulation of CFT using Quantum Computers (2017)