BIMSA > 刘正伟
教授 刘正伟

刘正伟

教授
单位: 清华丘成桐数学科学中心, 北京雁栖湖应用数学研究院
研究方向: 量子计算和量子信息
邮箱: liuzhengwei@bimsa.cn
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
  • 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, 教授 | PI
  • 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

  • 2026 | 新时代青年先锋奖
  • 2019 | ICCM silver award
  • 2018 | ICCM best paper award
  • 2014 | Bjarni J´onsson Prize for Research, Vanderbilt University

出版物

  • [1] Zhengwei Liu, Shuang Ming, Yilong Wang, Jinsong Wu, Alterfold Theory and Topological Modular Invariance, Communications in Mathematical Physics, 407 (2026)
  • [2] Zhengwei Liu, Shuang Ming, Yilong Wang, Jinsong Wu, Alterfold Topological Quantum Field Theory, accepted by Science China Mathematics (2026)
  • [3] L Huang, C Jiang, Z Liu, J Wu, Phase group categories of bimodule quantum channels, Science China Mathematics, 1-22 (2025)
  • [4] Y Shao, Z Chen, Z Wei, Z Liu, Diagnosing Quantum Circuits: Noise Robustness, Trainability, and Expressibility, arXiv, 2509.11307 (2025)
  • [5] B Kang, C Zhao, Z Liu, X Gao, S Choi, 2D Quon Language: Unifying Framework for Cliffords, Matchgates, and Beyond, arXiv, 2505.06336 (2025)
  • [6] R Lu, HE Li, Z Liu, JP Liu, Infinite-dimensional Extension of the Linear Combination of Hamiltonian Simulation: Theorems and Applications, arXiv (2025)
  • [7] Z Feng, Z Liu, F Lu, N Wang, Quon Classical Simulation: Unifying Clifford, Matchgates and Entanglement, arXiv (2025)
  • [8] F Lu, Z Liu, Classification of exchange relation planar algebras through sieving forest fusion graphs, arXiv (2024)
  • [9] Ruiqi Zhang, Yuguo Shao, Fuchuan Wei, Song Cheng, Zhaohui Wei, Zhengwei Liu, Clifford Perturbation Approximation for Quantum Error Mitigation, arXiv preprint arXiv:2412.09518 (2024)
  • [10] Linzhe Huang, Chunlan Jiang, Zhengwei Liu, Jinsong Wu, Phase Group Category of Bimodule Quantum Channels, arXiv preprint arXiv:2411.02707 (2024)
  • [11] Zhengwei Liu, Sebastien Palcoux and Yunxiang Ren, Triangular Prism Equations and Categori- fication, arXiv:2203.06522 (2024)
  • [12] Yuguo Shao, Fuchuan Wei, Zhaohui Wei, Zhengwei Liu, Variational Graphical Quantum Error Correction Codes: adjustable codes from topological insights, arXiv preprint arXiv:2410.02608 (2024)
  • [13] Zhengwei Liu, Functional Integral Construction of Topological Quantum Field Theory, arXiv preprint arXiv:2409.17103 (2024)
  • [14] Y Shao, F Wei, S Cheng, Z Liu, Simulating noisy variational quantum algorithms: A polynomial approach, Physical Review Letters, 133(12), 120603 (2024)
  • [15] Zhengwei Liu, Yuze Ruan, On Z/2Z permutation gauging , arXiv:2408.17195 (2024)
  • [16] Linzhe Huang, Zhengwei Liu, Jinsong Wu, Quantum smooth uncertainty principles for von Neumann bi-algebras, Quantum Topology, 15(3), 473-501 (2024)
  • [17] Linzhe Huang, Zhengwei Liu, Jinsong Wu, Quantum convolution inequalities on Frobenius von Neumann algebras, accepted by Science China Mathematics(2024)
  • [18] 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, (2024)
  • [19] 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)
  • [20] Y Shao, YC Li, F Wei, H Zhan, B Wang, Z Wei, L Zhang, Z Liu, Variational Graphical Quantum Error Correction Codes, arXiv (2024)
  • [21] F Wei, Z Liu, G Liu, Z Han, DL Deng, Z Liu, Simulating non-completely positive actions via exponentiation of Hermitian-preserving maps, npj Quantum Information, 10(1), 134 (2024)
  • [22] F Wei, Z Liu, G Liu, Z Han, X Ma, DL Deng, Z Liu, Realizing non-physical actions through hermitian-preserving map exponentiation, arXiv preprint arXiv:2308.07956 (2023)
  • [23] Zhengwei Liu, Shuang Ming, Yilong Wang, Jinsong Wu, 3-alterfolds and quantum invariants, arXiv preprint arXiv:2307.12284 (2023)
  • [24] Linzhe Huang, Arthur Jaffe, Zhengwei Liu, Jinsong Wu, The Quantum Perron-Frobenius Space, arXiv preprint arXiv:2305.18971 (2023)
  • [25] 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
  • [26] Z Liu, W Norledge, A Ocneanu, The adjoint braid arrangement as a combinatorial Lie algebra via the Steinmann relations, Journal of Pure and Applied Algebra, 227(8), 107349 (2023)
  • [27] Zhengwei Liu, Sebastien Palcoux, Yunxiang Ren, Triangular prism equations and categorification, arXiv:2203.06522 (2022)
  • [28] Zhengwei Liu, Christopher Ryba, The Grothendieck ring of a family of spherical categories, Communications in Mathematical Physics, 396(1), 315-348 (2022)
  • [29] 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(3), 54 (2022)
  • [30] Zhengwei Liu, Sebastien Palcoux, Jinsong Wu, Fusion bialgebras and Fourier analysis: analytic obstructions for unitary categorification, Advances in Mathematics, 390, 107905 (2021)
  • [31] Zhengwei Liu, Obituary: Vaughan Jones, Notices of the International Consortium of Chinese Mathematicians, 9(1), 69-73 (2021)
  • [32] Z Liu, J Wu, Antisymmetric characters and Fourier duality, Communications in Mathematical Physics, 384(1), 77-108 (2021)
  • [33] Zhengwei Liu, Jinsong Wu, Non-commutative Rényi entropic uncertainty principles, Science China Mathematics, 63, 2287-2298 (2020)
  • [34] A Jaffe, Z Liu, A Mathematical Picture Language Project, arXiv preprint arXiv:2006.03954 (2020)
  • [35] A Jaffe, Z Liu, Reflection positivity and Levin–Wen models, Expositiones Mathematicae, 38(2), 202-216 (2020)
  • [36] Arthur Jaffe, Chunlan Jiang, Zhengwei Liu, Yunxiang Ren, Jinsong Wu, Quantum fourier analysis, Proceedings of the National Academy of Sciences, 117(20), 10715-10720 (2020)
  • [37] Z Liu, S Morrison, D Penneys, Lifting shadings on symmetrically self-dual subfactor planar algebras, Topological phases of matter and quantum computation, 747, 51-61 (2020)
  • [38] Arthur Jaffe, Zhengwei Liu, Reflection Positivity and Levin-Wen Models., Expositiones Mathematicae, 38(2), 202-216 (2020)
  • [39] K Bu, A Jaffe, Z Liu, J Wu, De Finetti theorems for braided parafermions, Communications in Mathematical Physics, 373, 435-456 (2020)
  • [40] Zhengwei Liu, Quantized graphs and quantum error correction, arXiv preprint arXiv:1910.12065 (2019)
  • [41] Liu Zhengwei, Xu Feng, Jones-Wassermann subfactors for modular tensor categories, Advances in Mathematics, 355, 106775 (2019)
  • [42] Zhengwei Liu and Xiaoqin Gao, Universal quantum computation by a single photon, arXiv preprint arXiv:1909.09535 (2019)
  • [43] C Jones, Z Liu, Y Ren, Classification of Thurston relation subfactor planar algebras, Quantum Topology, 10(3), 441-480 (2019)
  • [44] Chunlan Jiang, Zhengwei Liu, Jinsong Wu, Block maps and Fourier analysis, Science China Mathematics, 62, 1585-1614 (2019)
  • [45] Zhengwei Liu, Quon language: surface algebras and Fourier duality, Communications in Mathematical Physics, 366(3), 865-894 (2019)
  • [46] Keshab Bakshi, Sayan Das, Zhengwei Liu, Yunxiang Ren, An angle between intermediate subfactors and its rigidity, Transactions of the American Mathematical Society, 371(8), 5973-5991 (2019)
  • [47] Chunlan Jiang, Zhengwei Liu, Jinsong Wu, Uncertainty principles for locally compact quantum groups, Journal of Functional Analysis, 274(8), 2399-2445 (2018)
  • [48] Z Liu, J Wu, Extremal pairs of Young’s inequality for Kac algebras, Pacific Journal of Mathematics, 295(1), 103-121 (2018)
  • [49] Arthur M Jaffe, Zhengwei Liu, Mathematical picture language program, Proceedings of the National Academy of Sciences, 115(1), 81-86 (2018)
  • [50] A Jaffe, Z Liu, A Wozniakowski, Holographic software for quantum networks, Science China Mathematics, 61(4), 593-626 (2018)
  • [51] Arthur Jaffe, Zhengwei Liu, Alex Wozniakowski, Constructive simulation and topological design of protocols, New Journal of Physics, 19(6), 063016 (2017)
  • [52] Zhengwei Liu, Jinsong Wu, Uncertainty principles for Kac algebras, Journal of Mathematical Physics, 58(5) (2017)
  • [53] A Jaffe, Z Liu, Planar para algebras, reflection positivity, Communications in Mathematical Physics, 352(1), 95-133 (2017)
  • [54] D Bisch, V Jones, Z Liu, Singly generated planar algebras of small dimension, part III, Transactions of the American Mathematical Society, 369(4), 2461-2476 (2017)
  • [55] Z Liu, A Wozniakowski, AM Jaffe, Quon 3D language for quantum information, Proceedings of the National Academy of Sciences, 114(10), 2497-2502 (2017)
  • [56] 刘正伟， 吴劲松， 鍒樻, 非交换傅立叶变换, 数学学报, 60(1), 81-96 (2017)
  • [57] Z Liu, D Penneys, The generator conjecture for$3^G$subfactor planar algebras, Proceedings of the 2014 Maui and 2015 Qinhuangdao Conferences in Honour of … (2017)
  • [58] Zhengwei Liu, Jinsong Wu, The Noncommutative Fourier Transform: A survey. (In honor of the 75th birthday of Bingren Li) , Acta Mathematica Sinica Chinese Series, 60(1), 69-80 (2017)
  • [59] Z Liu, S Wang, J Wu, Young’s inequality for locally compact quantum groups, Journal of Operator Theory, 77(1), 109-131 (2017)
  • [60] Z Liu, J Wu, The non-commutative Fourier transform, Acta Math Sin Chin Ser, 60, 81-96 (2017)
  • [61] Z LIU, A WOZNIAKOWSKI, A JAFFE, A QUON MODEL, (2016)
  • [62] Z Liu, Exchange relation planar algebras of small rank, Transactions of the American Mathematical Society, 368(12), 8303-8348 (2016)
  • [63] AM Jaffe, Z Liu, A Wozniakowski, Topological design of protocols, arXiv preprint arXiv:1611.06447 (2016)
  • [64] A Jaffe, Z Liu, A Wozniakowski, Compressed teleportation, arXiv preprint arXiv:1605.00321 (2016)
  • [65] A Jaffe, Z Liu, A Wozniakowski, Qudit isotopy, arXiv preprint arXiv:1602.02671 (2016)
  • [66] C Jiang, Z Liu, J Wu, Noncommutative uncertainty principles, Journal of Functional Analysis, 270(1), 264-311 (2016)
  • [67] 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
  • [68] A Jaffe, Z Liu, A Wozniakowski, A New Diagrammatic Approach to Quantum Information (2016)
  • [69] Zhengwei Liu, Yang-Baxter relation planar algebras, arXiv preprint arXiv:1507.06030 (2015)
  • [70] Z Liu, Composed inclusions of A3 and A4 subfactors, Advances in Mathematics, 279, 307-371 (2015)
  • [71] Z Liu, S Morrison, D Penneys, 1-Supertransitive Subfactors with Index at Most$ 6 1 5 $, Communications in Mathematical Physics, 334, 889-922 (2015)
  • [72] Z Liu, Skein theory for subfactor planar algebras, Vanderbilt University (2015)

学术服务

其他

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: 2026-06-24 16:00:05