BIMSA > 刘正伟
教授 刘正伟

单位: 北京雁栖湖应用数学研究院 , 清华丘成桐数学科学中心

团队: 量子对称

邮箱: liuzhengwei@bimsa.cn

研究方向: 量子计算和量子信息

个人主页: https://bimsa.net/people/zwliu/

个人简介

研究领域：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。

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。

教育经历

  • 2011 - 2015      范德堡大学      数学      博士      Skein theory for subfactor planar algebras (Doctoral dissertation, Vanderbilt University)      (Supervisor: Vaughan F.R. Jones)
  • 2009 - 2011      新罕布什尔大学      数学      硕士
  • 2005 - 2009      北京大学      数学      学士

工作经历

  • 2021 -      北京雁栖湖应用数学研究院      常务副院长, Adjuct Professor
  • 2019 -      清华大学      教授      Professor in Mathematics
  • 2015 - 2019      哈佛大学      博士后      Mathematics and Physics postdoctoral fellow Postdoctoral supervisor: Arthur Jaffe

荣誉与奖项

  • 2019      ICCM silver award
  • 2018      ICCM best paper award
  • 2014      Bjarni J´onsson Prize for Research, Vanderbilt University

出版物

  • [1] Zhengwei Liu, Sebastien Palcoux and Yunxiang Ren, Triangular Prism Equations and Categori- fication, arXiv:2203.06522 (2024)
  • [2] Yuguo Shao, Fuchuan Wei, Zhaohui Wei, Zhengwei Liu, Variational Graphical Quantum Error Correction Codes: adjustable codes from topological insights, arXiv:2410.02608 (2024)
  • [3] Zhengwei Liu, Functional Integral Construction of Topological Quantum Field Theory, arXiv:2409.17103 (2024)
  • [4] Zhengwei Liu, Yuze Ruan, On Z/2Z permutation gauging , arXiv:2408.17195 (2024)
  • [5] Yuguo Shao, Fuchuan Wei, Song Cheng, and Zhengwei Liu, Simulating Noisy Variational Quantum Algorithms: A Polynomial Approach, PHYSICAL REVIEW LETTERS, 133, 120603 (2024)
  • [6] Linzhe Huang, Zhengwei Liu, Jinsong Wu, Quantum smooth uncertainty principles for von Neumann bi-algebras, Quantum Topology (2024)
  • [7] Linzhe Huang, Zhengwei Liu, Jinsong Wu, Quantum convolution inequalities on Frobenius von Neumann algebras, accepted by Science China Mathematics(2024)
  • [8] Linzhe Huang , Zhengwei Liu, Sebastien Palcoux, Jinsong Wu, Complete Positivity of Comultiplication and Primary Criteria for Unitary Categorification, International Mathematics Research Notices, 2024(1), 817-860 (2024)
  • [9] Zhengwei Liu, Shuang Ming, Yilong Wang, Jinsong Wu, Alterfold Topological Quantum Field Theory, arXiv:2312.06477 (2023)
  • [10] Fuchuan Wei, Zhenhuan Liu, Guoding Liu, Zizhao Han, Xiongfeng Ma, Dong-Ling Deng, Zhengwei Liu, Simulating non-physical actions via exponentiation of Hermitian-preserving maps, submitted to to appear npj Quantum Information arXiv:2308.07956 (2023)
  • [11] Zhengwei Liu, Shuang Ming, Yilong Wang, Jinsong Wu, 3-Alterfolds and Quantum Invariants, arXiv:2307.12284 (2023)
  • [12] Zhengwei Liu, Sebastien Palcoux, Yunxiang Ren, Interpolated family of non group-like simple integral fusion rings of Lie type, Internat. J. Math., 34(2023), 6
  • [13] Zhengwei Liu, William Norledge, Adrian Ocneanu, The adjoint braid arrangement as a combinatorial Lie algebra via the Steinmann relations, JOURNAL OF PURE AND APPLIED ALGEBRA(2023)
  • [14] Linzhe Huang, Arthur Jaffe, Zhengwei Liu, Jinsong Wu, The Quantum Perron-Frobenius Space, submitted to arXiv:2305.18971 (2023)
  • [15] Zhengwei Liu, Christopher Ryba, The Grothendieck Ring of a Family of Spherical Categories, Communications in Mathematical Physics, 396(2022), 315–348 (2022)
  • [16] Zhengwei Liu, Sebastien Palcoux, Yunxiang Ren, Triangular prism equations and categorification, arXiv preprint arXiv:2203.06522 (2022)
  • [17] Zhengwei Liu, Sebastien Palcoux, Yunxiang Ren, Classification of Grothendieck rings of complex fusion categories of multiplicity one up to rank six , Letters in Mathematical Physics, 112(54) (2022)
  • [18] Zhengwei Liu, Sebastien Palcoux, Jinsong Wu, Fusion bialgebras and Fourier analysis: analytic obstructions for unitary categorification, Advances in Mathematics, 390, 107905 (2021)
  • [19] Zhengwei Liu, Obituary: Vaughan Jones, Not. ICCM, 9(1), 69-73, 2021(2021)
  • [20] Zhengwei Liu, Jinsong Wu, Antisymmetric characters and Fourier duality, Communications in mathematical physics, 384(2021), 1, 77-108
  • [21] Reflection Positivity and Levin-Wen Models. Expositiones Mathematicae, a special issue dedicated to Dick Kadison, 2020, 38(2), 202-216 (Joint with Arthur Jaffe,)
  • [22] Quantum Fourier Analysis PNAS 2020, 117(20): 10715-10720 (Joint with Chunlan Jiang, Arthur Jaffe, Yunxiang Ren and Jinsong Wu) www.pnas.org/cgi/doi/10.1073/pnas.2002813117
  • [23] 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
  • [24] Lifting shadings on symmetrically self-dual subfactor planar algebras. Contemporary Mathematics, 2020, 747 (Joint with Scott Morrison and Dave Penneys) https://doi.org/10.1090/conm/747/15038
  • [25] 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
  • [26] Zhengwei Liu, Quantized Graphs and Quantum Error Correction, arXiv:1910.12065 (2019)
  • [27] Zhengwei Liu and Xiaoqin Gao, Universal Quantum Computation by a Single Photon, arXiv:1909.09535 (2019)
  • [28] 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,
  • [29] Jones-Wassermann subfactors for modular tensor categories. Advances in Mathematics, 2019,355(15): 106775 (Joint with Feng Xu) arXiv:1612.08573
  • [30] A Mathematical Picture Language Project. to appear 2019 ICCM conference proceedings. (Joint with Arthur Jaffe,)
  • [31] 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
  • [32] Quon Language: Surface Algebras and Fourier Duality. Communications in MathematicalPhysics, 2019, 366: 865-894 https://doi.org/10.1007/s00220-019-03361-3
  • [33] 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
  • [34] 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
  • [35] Mathematical picture language program. PNAS, 2018, 115(1): 81-86. (Joint with Arthur Jaffe) doi:10.1073/pnas.1710707114
  • [36] 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
  • [37] 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
  • [38] Quon 3D language for quantum information. PNAS, 2017, 114(10): 2947-2502 (Joint with Arthur Jaffe and Alex Wozniakowski) doi:10.1073/pnas.1621345114
  • [39] 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
  • [40] 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
  • [41] 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
  • [42] 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
  • [43] 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
  • [44] 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
  • [45] The generator conjecture for 3G subfactor planar algebras. The Proceedings of the Centre for Mathematics and its Applications, Mathematical Sciences Institute, the Australian 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
  • [46] Zhengwei Liu, Yang-Baxter relation planar algebras, arXiv:1507.06030 (2016)
  • [47] 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
  • [48] Exchange relation planar algebras of small rank. Transactions of the AMS, 2016, 368(12):8303-8348. https://doi.org/10.1090/tran/6582
  • [49] 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
  • [50] Composed inclusions of A3 and A4 subfactors. Advances in Mathematics, 2015, 279: 307-371 https://doi.org/10.1016/j.aim.2015.03.017
Editor

2018- Chief Editor of the journal Pure and Applied Mathematics Quarterly
2022-11-16- Associate Editor of Advances in Theoretical and Mathematical Physics
Peer review for journals:
  • Acta Math Sinica
  • Advances in Mathematics
  • Annals of Mathematics
  • Communications in American Mathematical Society
  • Communications in Mathematical Physics
  • Entropy
  • Expositiones Mathematicae
  • IEEE Communications Letters
  • Journal of the American Mathematical Society
  • Journal of Functional Analysis
  • Journal of Non-Commutative Geometry
  • Memories of the American Mathematical Society
  • Quantum Topology
  • Science China Mathematics
  • ZbMath
International conferences organized:
  • ”100 Years of Matrix Mechanics” International Symposium, January 13 - 17, 2025, (co-organized with Zhengwei Liu, Ziwen Liu, David Ding, Jinpeng Liu, Bei Zeng, Xin Wang, Jinsong Wu, Song Cheng, Ching-Ray Chang
  • Mathematical Aspects of Quantum Theory January 7 - 9, 2025, TSIMF, Sanya (co-organized with Bin Gui and Jinsong Wu)
  • Quantum Theory and Operator Theory, 2024 ICBS Satellite Conference, BIMSA, Beijing. (co-organized with Zhengfeng Ji, Chunlan Jiang, Shunlong Luo, Jinsong Wu)
  • Workshop on Quantum Information and Operator Theory, Tianyuan Mathematical Research Center, Kunming, (co-organized with Shunlong Luo)
  • 2024 International Congress of Basic Science, July 14-26, 2024, Beijing. (co-organized with Shing- Tung Yau et al)
  • Advances in Quantum Algebra January 22 - 27, 2024, Beijing (co-organized with Yilong Wang and Jinsong Wu)
  • Mathematical Aspects of Quantum Theory January 13 - 17, 2024, TSIMF, Sanya (co-organized with Bin Gui and Jinsong Wu)
  • 2023 International Congress of Basic Science, July 16-28, 2023, Beijing. (co-organized with Shing- Tung Yau et al)
  • Quantum Theory and Operator Theory, 2023 ICBS Satellite Conference, BIMSA, Beijing. (co-organized with Zhengfeng Ji, Chunlan Jiang, Shunlong Luo, Jinsong Wu)
  • QMATH 15 Quantum Information Session, Sep 12-16, 2022 UC Davis, USA (co-organized with Aram Harrow (MIT))
  • The 9th International Congress of Chinese Mathematicians, 2022, Nanjing, China (co-organized with Shiu-Yuen Cheng et al)
  • New Frontiers: Interactions between Quantum Physics and Mathematics. June 20-23, 2022, Harvard, USA (co-organized with Kaifeng  Bu,  Arthur  Jaffe,  Renato  Renner,  Zhenghan  Wang, Jun Yang)
  • 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)

Conference and seminar talks

2024
  • Oct 29, Insights on Analysis Meeting Topology in Quantum Field Theory, Mathematical Picture Language Seminar, Harvard
  • Oct 19, Functional Integral Construction of Topological Quantum Field Theory, Advances in Operator Theory and Quantum Theory, 2024 Zhi-Jiang Science Forum, Hangzhou
  • Oct 2, Alterfold Topological Quantum Field Theory, Operator Algebras and Higher Energy Physics, Nordita workshop, Sweden
  • Sep 11, Alterfold Topological Quantum Field Theory, Moscow-Beijing seminar, online
  • Sep 9, Alterfold Topological Quantum Field Theory, BIMSA Member Seminar, BIMSA
  • Sep 2, Alterfold Topological Quantum Field Theory, Conference on Recent Developments in Topological Quantum Field Theory, BIMSA
  • Aug, Kunming
  • Jul 26, Alterfold Topological Quantum Field Theory, 2024 ICBS, Beijing
  • Jun 22, Alterfold02Theory for02TQFT in All Dimensions, Quantum Algebras in Mathematical Physics, Peking University
  • May 27 - 31, Alterfold Theory for TQFT and Topological Orders in All Dimensions, Quantum Topology, Quantum Information, and Connections to Mathematical Physics, Taxes A&M university
  • April 5, Quantum Fourier Analysis and Categorification Criteria, Taxes A&M University
  • March 29, Topological Quantum Field Theory in All Dimensions, Taxes A&M University
  • March 28, Topological Quantum Field Theory in All Dimensions, Harvard University
  • January 3, Bi-Invariants of 3-Manifold Surface Algebras, ICCM, Shanghai
2023
  • December 30, Bi-Invariants of 3-Manifold Surface Algebras, Guangdong Univerisity
  • September 25, Subfactors, Quantum Information and Quantum Fourier Analysis, Hebei Normal University
  • August 7, Efficient Classical Simulation of Variational Quantum Algorithm, International Conference on Noncommutative Geometry, Qinhuangdao
  • July 26, Bi-Invariants of 3-Manifold Surface Algebras, Tokyo University
  • July 24, Quantum Invariants of Colored 3-Manifolds, International Congress of Basic Science, Beijing
  • June 27, Bi-Invariants of 3-Manifold Surface Algebras, INI Workshop Subfactors and Applications, Cambridge
  • February 26, The Quantum Perron-Frobenius Theorem, Nankai University
  • February 21, The Quantum Perron-Frobenius Theorem, AMSS
2022
  • Wednesday, December 7, Quantum Fourier analysis: from Jones’ subfactors to Drinfeld center, Functional Analysis Workshop in celebration of the 120th anniversary of Hebei Normal University,(Hebei Normal University)
  • Tuesday, November 22, Complete Positivity of Comultiplication and Primary Criteria for Unitary Categorification, (Shanghai Jiaotong University)
  • Tuesday, October 25, Complete Positivity of Comultiplication and Primary Criteria for Unitary Categorification, (Yangzhou University)
  • Thursday, October 20, Complete Positivity of Comultiplication and Primary Criteria for Unitary Categorification, quantum symmetry seminar, (Ohio State University)
  • Thursday, October 20, A new theory for quantum error corrections, (Northeast Normal University)
  • Tuesday, October 11, Quantum Fourier Analysis and Quantum Error Corrections, (Beijing Institute of Technology)
  • Sunday, August 21, Quantum Fourier Analysis and Quantum Error Corrections, 1st CCF Quantum Computing Conference, (Zhengzhou)
  • Monday, July 11, Categorification Criterions of Fusion Rings from Local Data, The 7th International Workshop on Hopf Algebras, (Zhejiang Normal University)
  • Wednesday, June 22, Quantum Fourier Analysis and Quantum Channels, New Frontiers: Interactions between Quantum Physics and Mathematics Conference (Harvard)
  • Monday, March 21, Fusion Rings and Unitary Categorification, Seminar (Yangzhou University)
  • Thursday, February 10, Quantum Fourier Analysis, Plenary Lecture, ANZAMP 2022
2021
  • Wednesday, November 10, Uncertainty Principles on Quantum Symmetries, Seminar (Qufu Normal University)
  • Sunday, November 7, Simple integral fusion categories, Workshop on Hopf algebras, (Nanjing University)
  • Wednesday, October 27, Quantized Graphs and Quantum Error Corrections, Quantum Science Forum 55, (Beijing Academy of Quantum Information Sciences)
  • Wednesday, October 20, Uncertainty Principles on Quantum Symmetries, (Northeast Normal University)
  • Tuesday, October 12, Uncertainty Principles on Quantum Symmetries, Mathematical Picture Language Seminar, (Harvard)
  • Monday, September 20, Quantum Fourier Analysis, IAMS-BIRS workshop, (Zhejiang University)
  • Monday, September 20, Subfactors and Fourier Duality, IAMS-BIRS workshop, (Zhejiang University)
  • Tuesday, August 17, Quantum Fourier Analysis, IWOTA 2021, semi-Plenary Lecture, (Lancaster UK)
  • Wednesday, August 11, Quantum Fourier Analysis, Summer School on Applied Topology, (Hebei Normal University)
  • Wednesday, July 9, Quantum Fourier Analysis, Special Week on Operator Algebras, (East China Normal University)
  • 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, (Webinar)
  • 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 University)
  • 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- Tsinghua 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)
2019
  • Friday, Dec 20, Quantized Graphs and Quantum Error Corrections, Topological Quantum Computing (Shen Zhen)
  • Friday, Nov 22, Exceptional Quantum Subgroups, Geometric Group Seminar (Tsinghua University)
  • Wednesday, Oct 30, New Spherical Category and Fusion Rules, Subfactors and Applications (Oberwolfach)
  • Tuesday, July 23, Quon Language for Quantum Information, Working Group on Quantum Information (AMSS)
  • Monday, July 8, New Spherical Categories and Schur-Weyl Duality, International Conference on Representation Theory ICRT8 (Harbin)
  • Monday, July 1, Quon Graphs and Quantum Error Corrections, Physics Seminar (ETH)
  • Tuesday, June 25, Quantum Graphs and Error Corrections, Mathematical Physics meets Quantum Information Theory (Leysin, Switzerland)
  • Friday, June 14, Quantum Fourier Analysis, ICCM (Tsinghua University)
  • Tuesday, June 4, Quantum Fourier Analysis, Interactions between Noncommutative Analysis and Quantum Information theory (HIT)
  • Tuesday, May 28, Quantum Fourier Analysis, GPOTS plenary lecture (TAMU)
  • Thursday, May 9, Quantum Fourier Analysis, NCGOA (Vanderbilt)
  • Tuesday, March 19, Quantum Fourier Analysis, Functional Analysis Seminar (UCSD)
  • Tuesday, February 5, Geometric Quantum Error-Correcting Codes, Mathematical Physics seminar (Harvard)
  • Monday, February 4, A Mathematical Picture Language Project, Higher Category Approach to Certifiably Correct Quantum Information Processing Systems, (Maryland)
  • Monday, January 7, Geometric Quantum Error-Correcting Codes, (Hebei Normal University)
2018
  • Monday, December 10, Geometric Quantum Error-Correcting Codes, Current Progress in Mathematical Physics, (Harvard)
  • Friday, November 2, Schur-Weyl duality for quantum subgroups, (Peking University)
  • Friday, October 19, An answer to Kac’s question on Coxeter exponents, Fusion categories and subfactors, BIRS, (Banff, Canada)
  • Friday, September 14, Quantum Fourier Analysis, Infinite-dimensional algebra seminar, (MIT)
  • Friday, September 7, Quantum Fourier Analysis, Colloquium talk, (Tufts University)
  • Tuesday, July 24, Topological Design of protocols, IWOTA (Shanghai)
  • Thursday, July 19, De Finetti theorems for braided parafermions, (Fudan University & SCMS)
  • Friday, July 13, Things we learned in the 2018 Mathematical Picture Language working group, (AMSS)
  • Thursday, July 05, Topological Design of Protocols, (AMSS)
  • Monday, July 02, (joint talk with Arthur Jaffe), The quon language in quantum information, (Shanghai IAS, USTC)
  • Wednesday, June 20, Picture language program, (AMSS)
  • Saturday, Apr 22, A new program on quantum subgroups, AMS sectional meeting: Hopf Algebras, Tensor Categories, and Homological Algebra (Boston)
  • Sunday, Apr 14, A new program on quantum subgroups, AMS sectional meeting: Advances in Operator Algebras (Vanderbilt University)
  • Sunday, March 18, A de Finetti theorem on parafermion algebras, AMS Sectional Meeting: Quantum Symmetries (Columbus, Ohio)
  • Wednesday, Feb 14, A new program on quantum subgroups, CMSA colloquium (Harvard)
  • Saturday, Jan 12, An angle between intermediate subfactors and its rigidity, AMS Sectional Meeting: Advances in Operator Algebras (San Diego)
2017
  • Friday, Dec 08, A new one-parameter centralizer algebra and higher Dynkin diagrams, Infinite-dimensional algebra seminar (MIT)
  • Saturday, Sep 30, From subfactors to quantum information and backward, Shanks workshop: subfactors and applications (Vanderbilt University)
  • Tuesday, Sep 05, Introduction to the mathematical picture language project, Mathematical Physics seminar (Harvard)
  • Monday, July 17, Fourier analysis on planar algebras, 2017 (Jilin University)
  • Tuesday, June 13, Synergy on quon language, Operator algebras: subfactors and their applications (Isaac Newton Institute, Cambridge, UK)
  • Monday, May 22, Fourier analysis on planar algebras, Colloquium (Hebei Normal University)
  • Friday, May 19, Picture language program, Colloquium (Tsinghua University)
  • Tuesday, April 4, Quon language: surface algebras and string Fourier transform, Mathematical Physics seminar (Harvard)
  • Saturday, Apr 01, The string Fourier transform on quons, AMS section meeting: special section on fusion categories and applications (Indiana University, Bloomington)
  • Monday, Feb 27, Fourier cousins and new planar algebras, 2017 Young Mathematician Forum (Fudan University & SCMS)
  • Wednesday, Feb 15, A Fourier cousin of the Birman-Murakami-Wenzl algebra, Yau’s geometry seminar (Harvard)
  • Tuesday, Feb 02, Quon 3D language for quantum information, Mathematical Physics seminar (Harvard)
  • Monday, Jan 08, A new diagrammatic approach to quantum information, Functional analysis and quantum information (Harbin Institute of Technology)
  • Thursday, Jan 05, Topological Design of Protocols, Workshop on tensor networks and related problems (Zhejiang University)
2016
  • Monday, December 19, Jones-Wasserman subfactors for modular tensor categories, Subfactors and Mathematical Physics: Vaughan Jones (TSIMF)
  • Thursday, December 1, A new type of Schur-Weyl duality, Non-Commutative Geometry seminar (Penn State University)
  • Monday, November 28, The Fourier transform on subfactors, Non-Commutative Geometry seminar (TAMU)
  • Sunday, October 9, A new diagrammatic approach to quantum information, Workshop on sub-factor theory, quantum field theory, and quantum information (Harvard)
  • Tuesday, September 27, A New Diagrammatic Approach to Quantum Information–the four string model, Mathematical Physics seminar (Harvard)
  • Tuesday, September 20, A New Diagrammatic Approach to Quantum Information–the two string model, Mathematical Physics seminar (Harvard)
  • Wednesday, August 10, The Fourier transform on subfactors, (Harbin Institute of Technology)
  • Thursday, July 7, Planar anionic algebras, at Workshop on von Neumann algebras (HIM)
  • Thursday, March 3, New diagrammatic insights in mathematical physics, Mathematical Physics seminar (ETH)
  • Wednesday, January 20, Parafermion algebras, subfactors and reflection positivity, Functional Analysis Seminar (UCLA)
2015
  • Monday, December 21, Yang-Baxter relation planar algebras, The International Conference on Non-commutative Geometry and K-Theory (Chongqing University)
  • Monday, December 21, Fourier Analysis on subfactors, (Chongqing Normal University)
  • Friday, October 23, Parasymmetry for subfactors, Subfactor seminar (Vanderbilt University)
  • Sunday, October 18, Skein theory for subfactors, AMS section meeting (Memphis)
  • Wednesday, October 14, Invariants, subfactors and quantum groups, Colloquium (UC Riverside)
  • Saturday, October 10, Skein theory for subfactors, WCOAS (UCSD)
  • Saturday, October 3, Skein theory for subfactors, ECOAS (The University of Iowa)
  • Wednesday, September 30, Knots, subfactors and quantum groups, Geometry, Physics and Representation theory seminar (North Eastern University)
  • Tuesday, September 29, Parafermions, Mathematical Physics seminar (Harvard)
  • Thursday, Jul 16, Universal skein theory for subfactors, Subfactor Theory in Mathematics and Physics (in Qinhuangdao)
  • Tuesday, May 05, The Classification and Construction of Subfactors, Harvard Mathematical Physics seminar
  • Thursday, Mar 26, A classification with subfactors and fusion categories from CFT, Subfactors and Conformal Field Theory (in Oberwolfach)
  • Monday, Jan 12, Noncommutative uncertainty principles, AMS section meeting (in San Antonio)
2014
  • Wednesday, December 10,  2014,  Noncommutative uncertainty principles,  Functional Analysis Seminar, (UCLA)
  • Sunday, Oct 21, Noncommutative uncertainty principles, S´eminaire d’Analyse Fonctionnelle (Uni-versit´e de Franche-Comt´e)
  • Tuesday, Oct 12, Noncommutative uncertainty principles, The 12th East Coast Operator Algebras Symposium (University of Toronto/ Fields Institute)
  • Friday, Aug 22, A universal skein theory for subfactor planar algebras, Vanderbilt subfactor seminar.
  • Thursday, Jul 17, Noncommutative uncertainty principles, Subfactor Theory in Mathematics and Physics (in Maui).
  • Saturday, Jun 14, Singly generated planar algebras, Operator Algebras and Mathematical Physics (Dalian University of Technology).
  • Friday, May 30, Noncommutative uncertainty principles, GPOTS (Kansas State University)
  • Friday, Apr 04, Noncommutative uncertainty principles (part II), Vanderbilt subfactor seminar.
  • Sunday, Mar 23, Singly generated planar algebras, AMS Sectional Meeting (in Knoxville)
  • Friday, Feb 28, Noncommutative uncertainty principles, Vanderbilt subfactor seminar.
  • Wednesday, Jan 15, Composed inclusions of subfactors, Joint Mathematics Meetings AMS Special Session (in Baltimore)
2013
  • Friday, Nov 22, The subgroup En+2 of quantum SU (n), Vanderbilt subfactor seminar.
  • Saturday, Oct 26, Composed inclusions of A3 and A4 subfactors, DARPA & Shanks Workshop on Quantum Symmetries (Vanderbilt University)
  • Friday, Sep 13, Singly generated planar algebras, Vanderbilt subfactor seminar.
  • Thursday, July 18, Composed inclusions of an A3 and an A4 subfactor, Subfactors in Maui.
2012
  • Friday, July 20, Exchange relation planar algebras, Subfactors in Maui.
Graduate Students

Jin-Cheng Wan, Run-Di Lu, Ning-Feng Wang, Yu-Ze Ruan, Zi-Xuan Feng, Hui-Xuan He, Zi-Shuo Zhao, Fu-Chuan Wei, Hao Zhang, Jun-Feng Li, Fan Lu, Yu-Guo Shao

Teaching


2024 Fall at Tsinghua University
  • Operator Algebras
  • Quantum Symmetries
2023 Fall at Tsinghua University
  • Advanced Functional Analysis
  • Quantum Symmetries
2023 Spring at Tsinghua University
  • Operator Algebras
2022 Fall at Tsinghua University
  • Advanced Functional Analysis
2022 Spring at Tsinghua University
  • Functional Analysis
2021 Fall at Tsinghua University
  • Quon Language for Quantum Information
2020 fall at Tsinghua University
  • Linear Algebras
2019 fall at Tsinghua University
  • Calculus 1(A)
  • An Introduction to von Neumann Algebras
2017 Lecture at Harvard Univerisity
  • Linear algebras
2011-2014 Teaching Assistant at Vanderbilt University
  • Calculus (150A/B, 155A)
2009-2011 Teaching Assistant at the University of New Hampshire
  • Calculus
  • Discrete mathematics

 

更新时间: 2025-03-28 01:57:08