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研究生导师
刘正伟

教授

单位:清华大学丘成桐数学科学中心

办公地点:静斋318

电子邮箱:liuzhengwei@mail.tsinghua.edu.cn

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 silver award (2019)

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

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