English 清华大学 旧版入口 人才招聘
English 清华大学 旧版入口 人才招聘

刘正伟

  • 教授
  • 电话：+86 10 62793699
  • 邮箱：liuzhengwei@mail.tsinghua.edu.cn
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基本信息

  

  1. 博士、教授。

  2. 邮箱：liuzhengwei@mail.tsinghua.edu.cn

  3. 地址：北京市清华大学静斋318室

  4. 电话：+86 10 62793699

  5. 邮编: 100084

工作履历


2005-2009, 北京大学，数学学士

2009-2011, 美国新罕普什尔大学

20011-2015, 美国范德堡大学，数学博士


2015-2019, 哈佛大学，数学系和物理系，博士后

2019-至今，清华大学数学科学系、丘成桐数学中心，教授

2021-至今，北京雁栖湖应用数学研究院兼职教授、副院长


2018-至今，Pure and Applied Mathematics Quarterly 杂志主编

研究领域

研究兴趣：数学，数学物理和量子信息，特别是子因子理论和量子傅立叶分析，及其与算子代数、纽结理论、低维拓扑、量子群表示论、傅里叶分析、范畴学、量子信息、量子场论等领域的联系。


主要成果：开拓了量子傅里叶分析领域；提出了数学图形语言Quon Language来研究量子信息；解决子因子相关领域多个公开问题，包括Bisch-Haagerup于1994年提出的著名公开问题。


所授课程

本科生课程：微积分、线性代数

研究生课程：冯诺伊曼代数、平面代数

讨论班：周五9:00-17:00，近春园西楼第一会议室

奖励与荣誉

奖励与荣誉:

•华人数学家大会ICCM银奖 (2019)
•华人数学家大会ICCM最佳论文奖(2018)
• Bjarni J ́onsson Prize for Research, Vanderbilt University (2014)



项目经费：

中组部海外人才青年项目 2019-2022 主持

清华大学启动经费, 09/2019-09/2022 主持

Templeton Religion Trust 0159, 09/2017-09/2020 共同主持

AMS-NSF travel grant for 2018 ICM 主持

NSF conference grant 2018 主持

AMS-Simons travel grant, 06/2015-06/2017 主持


学术成果

发表论文：

  1. Composed inclusions of A3 and A4 subfactors. Advances in Mathematics, 2015, 279: 307-371https://doi.org/10.1016/j.aim.2015.03.017

  2. 1-supertransitive subfactors with index at most 6+1/5. Communications in Mathematical Physics, 2015, 334(2): 889-922. (Joint with Scott Morrison and Dave Penneys) https://doi.org/10.1007/s00220-014-2160-4

  3. Exchange relation planar algebras of small rank. Transactions of the AMS, 2016, 368(12): 8303-8348.

    https://doi.org/10.1090/tran/6582

  4. Noncommutative uncertainty principles. Journal of Functional Analysis, 2016, 270(1): 264- 311. (Joint with Chunlan Jiang and Jinsong Wu)
    https://doi.org/10.1016/j.jfa.2015.08.007

  5. Quon 3D language for quantum information. PNAS, 2017, 114(10): 2947-2502 (Joint with Arthur Jaffe and Alex Wozniakowski)
    doi:10.1073/pnas.1621345114

  6. Planar para algebras, reflection positivity. Communications in Mathematical Physics, 2017, 352(1): 95-133. (Joint with Arthur Jaffe)
    doi:10.1007/s00220-016-2779-4

  7. Singly generated planar algebras of small dimension, part III. Transactions of the AMS, 2017, 369(4): 2461-2476. (Joint with Dietmar Bisch and Vaughan F. R. Jones) https://doi.org/10.1090/tran/6719

  8. Uncertainty principles for locally compact quantum groups. Journal of Functional Analysis, 2018, 274(8): 2399-2445 (Joint with Chunlan Jiang and Jinsong Wu) https://doi.org/10.1016/j.jfa.2017.09.010

  9. Uncertainty principle for Kac algebras. Journal of Mathematical Physics 2017, 58(5): 052102 (Joint with Jinsong Wu)
    http://dx.doi.org/10.1063/1.4983755

  10. Young’s inequality for locally compact quantum groups. Journal of Operator Theory, 2017, 77(1): 109-131. (Joint with Simeng Wang and Jinsong Wu) http://dx.doi.org/10.7900/jot.2016mar03.2104

  11. Constructive simulation and topological design of protocols. New Journal of Physics, 2017, 19(6): 063016 (Joint with Arthur Jaffe and Alex Wozniakowski) https://doi.org/10.1088/1367-2630/aa5b57

  12. The Noncommutative Fourier Transform: A survey. Acta Mathematica Sinica Chinese Series, (In honor of the 75th birthday of Bingren Li) 2017, 60(1): 69-80. (Joint with Jinsong Wu)
    arXiv:1611.04630

  13. The generator conjecture for 3G subfactor planar algebras. The Proceedings of the Centre for Mathematics and its Applications, Mathematical Sciences Institute, the Aus- tralian National University: The Proceedings in honor of Vaughan F. R. Jones’ 60th birthday conferences, edited by Scott Morrison and David Penneys 2017, 46: 344-366 (Joint with Dave Penneys)

    arXiv:1507.04794

  14. Mathematical picture language program. PNAS, 2018, 115(1): 81-86. (Joint with Arthur Jaffe)

    doi:10.1073/pnas.1710707114

  1. Holographic software for quantum networks. Science China Mathematics, 2018, 61 (4): 593- 626 (Joint with Arthur Jaffe and Alex Wozniakowski)
    doi:10.1007/s11425-017-9207-3

  2. Extremal pairs of Young’s inequality for Kac algebras. Pacific Journal of Mathematics, 2018, 295 (1) 103-121. (Joint with Jinsong Wu) doi:10.2140/pjm.2018.295.103

  3. Block maps and Fourier analysis. Science China Mathematics, 2019, 62(8) 1585-1614 (Joint with Chunlan Jiang and Jinsong Wu) doi:10.1007/s11425-017-9263-7

  4. Quon Language: Surface Algebras and Fourier Duality. Communications in Mathematical Physics, 2019, 366: 865-894 https://doi.org/10.1007/s00220-019-03361-3

  5. An angle between intermediate subfactors and its rigidity. Transactions of the AMS, 2019, 371: 5973-5991 (Joint with Keshab Bakshi, Sayan Das, and Yunxiang Ren) https://doi.org/10.1090/tran/7738

  6. Jones-Wassermann subfactors for modular tensor categories. Advances in Mathematics, 2019, 355(15): 106775 (Joint with Feng Xu)
    arXiv:1612.08573

  7. Classification of Thurston-relation subfactor planar algebras. Quantum Topology, 2019, 10(3), 441-480 (Joint with Corey Jones and Yunxiang Ren) DOI: 10.4171/QT/126, arXiv:1606.00779

  8. Lifting shadings on symmetrically self-dual subfactor planar algebras. Contemporary Mathe-
    matics,     2020, 747 (Joint with Scott Morrison and Dave Penneys) https://doi.org/10.1090/conm/747/15038

  9. De Finetti theorems for braided parafermions. Communications in Mathematical Physics, 2020, 373: 435-456 (Joint with Kaifeng Bu, Arthur Jaffe, Jinsong Wu,) https://doi.org/10.1007/s00220-019-03579-1

  10. Non-Commutative R ́enyi entropic uncertainty principles. Science China Mathematics, 2020, 63, 2287-2298. (Joint with Jinsong Wu) https://doi.org/10.1007/s11425-019-9523-4

  11. Quantum Fourier Analysis (Joint with Chunlan Jiang, Arthur Jaffe, Yunxiang Ren and Jinsong Wu) PNAS 2020, 117(20): 10715-10720 www.pnas.org/cgi/doi/10.1073/pnas.2002813117

  12. Reflection Positivity and Levin-Wen Models. (Joint with Arthur Jaffe,)
    Expositiones Mathematicae, a special issue dedicated to Dick Kadison, 2020, 38(2), 202-216

  13. A Mathematical Picture Language Project. (Joint with Arthur Jaffe,) to appear 2019 ICCM conference proceedings.

  14. Antisymmetric characters and Fourier duality. (Joint with Jinsong Wu,) Communications in Mathematical Physics, 2021, 284, 77-108 https://doi.org/10.1007/s00220- 021-04047-5


近期学术报告

        2021

    • Tuesday, May 25, Quon Language: Fractional Tensor Network, IIIS seminar, (Tsinghua University)

    • Wednesday, May 19, Quantum Fourier Analysis, lecture series of 100th anniversary of Math department, (Nan Kai University)

    • Monday, May 17, Quantum Fourier Analysis, Global Noncommutative Geometry Seminar, (We- binar)

    • Sunday, May 2, Quantum Fourier Analysis, Jing-Jin-Ji Functional Analysis Conference, (Hebei Normal University)

    • Wednesday, April 28, Quon Language: Fractional Tensor Network, SIQSE Invited Talk, (Institute for Quantum Science and Engineering)

    • Saturday, April 17, Quantum Fourier Analysis, Forum of Graduate Students, (Tsinghua Univer- sity)

    • Saturday, April 10, Quantum Fourier Analysis, Tsinghua-BIMSA workshop (Beijing Institute of Mathematical Science and Applications)

    • Wednesday, March 24, Quantum Fourier Analysis, Beauty of Mathematics Lecture Series, (Ts- inghua University)

    • Tuesday, March 23, Quantum Fourier Analysis, WALES (Webinar)

    • Tuesday, January 05, Brain Storming in Math and Physics–dedicated to Arthur Jaffe, Colloquia

      & Seminars (AMSS)

    2020

    • Tuesday, December 29, Subfactors–in Memory of Vaughan Jones, 2020 ICCM plenary lecture (USTC)

    • Tuesday, December 22, Brain Storming in Math and Physics–dedicated to Arthur Jaffe, Mathematical Picture Language Seminar (Harvard) online

    • Tuesday, December 08, Subfactors–in Memory of Vaughan Jones, Seminar, (Dalian University of Technology) online

    • Monday, November 23, Subfactors–in Memory of Vaughan Jones, Math Science Literature Lecture Series, (Harvard and Tsinghua, online

    • Thursday, November 5, Subfactors and Quantum Fourier Analysis, seminar, (Tokyo and Kyoto) online

    • Tuesday, October 27, Subfactors and Unitary Categorification, seminar, (Nanjing University of Information Science and Technology) online

    • Wednesday, October 14, Topological Complexity for Quantum Information, seminar, (DIAS) online

    • Friday, September 25, Quantum Fourier Analysis, (Hebei University of Technology)

    • Tuesday, June 23, Quantum Fourier Analysis, Mathematical Picture Language Seminar (Harvard) online

    • Friday, May 22, Fusion Bialgebras and Fourier Analysis, Subfactor Seminar (Vanderbilt) online

    • Thursday, April 16, Quantized Graphs and Quantum Error Corrections, Condensed Matter Physics Seminar (Harvard) online

    • Wednesday, Mar 11, Quantized Graphs and Quantum Error Corrections, CMSA (Harvard)

    • Friday, Feb 4, Quantized Graphs and Quantum Error Corrections, Mathematical Picture Language Seminar (Harvard)



组织国际会议：

  • Current Progress in Mathematical Physics, 2018 in Harvard, USA (co-organized with Konrad Osterwalder (ETH), Victor Kac (MIT), Christopher King (Northeastern University), Eugene Wayne (Boston University), and Jonathan Weitsman (Northeastern University)

  • Workshop on Quantum Information 2018, CMSA at Harvard, USA (co-organized with Arthur Jaffe and Shing-Tung Yau)

  • Subfactor theory, quantum field theory, and quantum information, 2016 in Harvard, USA (co- organized with Arthur Jaffe and Vaughan F. R. Jones)

  • Subfactor Theory in Mathematics and Physics 2015 in Qinhuangdao, China (co-organized with Arnaud Brothier, Chunlan Jiang, Vaughan F. R. Jones and Feng Xu)


人才培养

博士研究生：陆凡、邵钰菓、赵子硕

博士后：曹萌、黄林哲

访问学者：卜凯峰、徐子韫


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