Zhengwei Liu
ProfessorAffiliation: BIMSA , YMSC
Group: Quantum Symmetry
Email: liuzhengwei@bimsa.cn
Research Field: Quantum Computing and Quantum Information
Webpage: https://bimsa.net/people/zwliu/
Biography
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. Website: https://ymsc.tsinghua.edu.cn/info/1031/2299.htm
Research Interest
- Mathematics, mathematical physics and quantum information, especially subfactor theory and quantum Fourier analysis, and their relations with operator algebra, knot theory, low dimensional topology, quantum group representation theory, Fourier analysis, category science, quantum information, quantum field theory and other fields.
Education Experience
- 2011 - 2015 Vanderbilt University Mathematics Doctor Skein theory for subfactor planar algebras (Doctoral dissertation, Vanderbilt University) (Supervisor: Vaughan F.R. Jones)
- 2009 - 2011 University of New Hampshire Mathematics Master
- 2005 - 2009 Peking University Mathematics Bachelor
Work Experience
- 2021 - Beijing Institute of Mathematical Sciences and Applications (BIMSA) Vice President, Adjuct Professor
- 2019 - Tsinghua University Professor Professor in Mathematics
- 2015 - 2019 Harvard University Postdoc Mathematics and Physics postdoctoral fellow Postdoctoral supervisor: Arthur Jaffe
Honors and Awards
- 2019 ICCM silver award
- 2018 ICCM best paper award
- 2014 Bjarni J´onsson Prize for Research, Vanderbilt University
Publication
- [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] Linzhe Huang, Arthur Jaffe, Zhengwei Liu, Jinsong Wu, The Quantum Perron-Frobenius Space, submitted to arXiv:2305.18971 (2023)
- [14] 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)
- [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:2303.06522(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, Obituary: Vaughan Jones, Not. ICCM, 9(1), 69-73, 2021(2021)
- [19] Zhengwei Liu, Jinsong Wu, Antisymmetric characters and Fourier duality, Communications in mathematical physics, 384(2021), 1, 77-108
- [20] Zhengwei Liu, Sebastien Palcoux, Jinsong Wu, Fusion Bialgebras and Fourier Analysis: Analytic obstructions for unitary categorification, Advances in Mathematics, 390(2021), 107905
- [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.
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
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
Update Time: 2024-10-25 18:51:07