研究领域
I am currently working on Quantum Fourier Analysis, Quantum Information and Subfactor Theory. I am also interested in category theory, harmonic analysis, knot theory, lower dimensional topology, operator algebras, representation theory in mathematics;
and quantum field theory and condensed matter in physics.
教育背景
2011-2015 Vanderbilt University, Mathematics Ph.D.
Advisor: Vaughan F.R. Jones
2009-2011 University of New Hampshire,
2005-2009 Peking University, Mathematics B.S.
工作经历
2021-now Beijing Institute of Mathematical Sciences and Applications, Associate Director, Adjuct Professor
2019-now Tsinghua University, Professor in Mathematics
2015-2019 Harvard University, Mathematics and Physics postdoctoral fellow
Postdoctoral supervisor: Arthur Jaffe
荣誉与奖励
ICCM best paper award (2018)
Bjarni J´onsson Prize for Research, Vanderbilt University (2014)
发表论文
Selected Publications （See CV for a full list）
Subfactors:
1. Composed inclusions of A3 and A4 subfactors. Advances in Mathematics, 2015, 279: 307-371
3. Exchange relation planar algebras of small rank. Transactions of the AMS, 2016, 368(12): 8303-8348.
20. Jones-Wassermann subfactors for modular tensor categories. Advances in Mathematics, 2019, 355(15): 106775 (Joint with Feng Xu)
Quantum Fourier Analysis:
4. Noncommutative uncertainty principles. Journal of Functional Analysis, 2016, 270(1): 264-311. (Joint with Chunlan Jiang and Jinsong Wu)
25. Quantum Fourier Analysis PNAS 2020, 117(20): 10715-10720 (Joint with Chunlan Jiang, Arthur Jaffe, Yunxiang Ren and Jinsong Wu)
29. Fusion Bialgebras and Fourier Analysis: Analytic obstruction for unitary categorification. Advances in Mathematics, 2021 390, 107905 (Joint with Sebastien Palcoux and Jinsong Wu)
Quantum Information:
5. Quon 3D language for quantum information. PNAS, 2017, 114(10): 2947-2502 (Joint with Arthur Jaffe and Alex Wozniakowski)
15.Holographic software for quantum networks. Science China Mathematics, 2018, 61 (4): 593-626 (Joint with Arthur Jaffffe and Alex Wozniakowski)
ArXiv Preprint: Quantized Graphs and Quantum Error Correction. arXiv:1910.12065
