刘正伟教授
电话：
办公室：静斋318

邮箱：liuzhengwei@tsinghua.edu.cn
个人主页：https://scholar.harvard.edu/liu






研究领域 子因子理论，算子代数，量子信息，数学物理，量子傅立叶分析 教育背景 2011-2015 博士 美国范德堡大学
2009-2011 研究生 美国新罕普什尔大学
2005-2009 学士 北京大学 工作经历 2019?? 至今 ?? 教授 ? ?? 清华大学丘成桐数学科学中心和数学系
2015-2019 ?? 博士后 ? 哈佛大学 荣誉与奖励 2019年 ? ? ? ? ? 华人数学家大会ICCM银奖
2018年 ? ? ? ? ? ICCM Best paper award
2018年 ? ? ? ? ? AMS-NSF travel grant for 2018 ICM
2018年 ? ? ? ? ? NSF conference grant
2017-2020年? Templeton Religion Trust 0159
2015-2017年? AMS-Simons travel grant
2014年 ? ? ? ? ? Bjarni Jónsson Prize for Research, Vanderbilt University


发表论文 [1] Composed inclusions of A3 and A4 subfactors. Advances in Mathematics, 2015, 279: 307-371 https://doi.org/10.1016/j.aim.2015.03.017;
[2] 1-supertransitive subfactors with index at most 6+1/5. Communications in Mathematical Physics, 2015, 334(2): 889-922. (Joint with Scott Morrison and Dave Penneys) https://doi.org/10.1007/s00220-014-2160-4;
[3] Exchange relation planar algebras of small rank. Transactions of the AMS, 2016, 368(12): 8303-8348. https://doi.org/10.1090/tran/6582
[4] Noncommutative uncertainty principles. Journal of Functional Analysis, 2016, 270(1): 264- 311. (Joint with Chunlan Jiang and Jinsong Wu) https://doi.org/10.1016/j.jfa.2015.08.007;
[5] Quon 3D language for quantum information. PNAS, 2017, 114(10): 2947-2502 (Joint with Arthur Jaffe and Alex Wozniakowski) doi:10.1073/pnas.;
[6] Planar para algebras, reflection positivity. Communications in Mathematical Physics, 2017, 352(1): 95-133. (Joint with Arthur Jaffe) doi:10.1007/s00220-016-2779-4;
[7] Singly generated planar algebras of small dimension, part III. Transactions of the AMS, 2017, 369(4): 2461-2476. (Joint with Dietmar Bisch and Vaughan F. R. Jones) https://doi.org/10.1090/tran/6719;
[8] Uncertainty principles for locally compact quantum groups. Journal of Functional Analysis, 2018, 274(8): 2399-2445 (Joint with Chunlan Jiang and Jinsong Wu) https://doi.org/10.1016/j.jfa.2017.09.010;
[9] Uncertainty principle for Kac algebras. Journal of Mathematical Physics 2017, 58(5): 052102 (Joint with Jinsong Wu) http://dx.doi.org/10.1063/1.**;
[10] Young's inequality for locally compact quantum groups. Journal of Operator Theory, 2017, 77(1): 109-131. (Joint with Simeng Wang and Jinsong Wu) http://dx.doi.org/10.7900/jot.2016mar03.2104;
[11] Constructive simulation and topological design of protocols. New Journal of Physics, (Joint with Arthur Jaffe and Alex Wozniakowski) https://doi.org/10.1088/1367-2630/aa5b57 [12] The Noncommutative Fourier Transform: A survey. Acta Mathematica Sinica Chinese Series, (In honor of the 75th birthday of Bingren Li) 2017, 60(1): 69-80. (Joint with Jinsong Wu) arXiv:1611.04630;
[13] The generator conjecture for 3G subfactor planar algebras. The Proceedings of the Centre for Mathematics and its Applications, Mathematical Sciences Institute, the Aus- tralian National University: The Proceedings in honor of Vaughan F. R. Jones' 60th birthday conferences, edited by Scott Morrison and David Penneys 2017, 46: 344-366 (Joint with Dave Penneys) arXiv:1507.04794;
[14] Mathematical picture language program. PNAS, 2018, 115 (1) 81-86. (Joint with Arthur Jaffe) doi:10.1073/pnas.;
[15] 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 [16] 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;
[17] Block maps and Fourier analysis. to appear Science China Mathematics, 2018, (Joint with Chunlan Jiang and Jinsong Wu) doi:10.1007/s11425-017-9263-7;
[18] Classification of Thurston-relation subfactor planar algebras. to appear Quantum Topology, 2018, (Joint with Corey Jones and Yunxiang Ren) arXiv:1606.00779;
[19] Lifting shadings on symmetrically self-dual subfactor planar algebras. to appear Contemporary Mathematics, 2018, (Joint with Scott Morrison and Dave Penneys) arXiv:1709.05023;
[20] An angle between intermediate subfactors and its rigidity. to appear Transactions of the AMS, 2018, (Joint with Keshab Bakshi, Sayan Das, and Yunxiang Ren) arXiv:1710.00285;
[21] Jones-Wassermann subfactors for modular tensor categories. to appear Advances in Mathematics, 2019, (Joint with Feng Xu) arXiv:1612.08573;
[22] Quon Language: Surface Algebras and Fourier Duality. Communications in Mathematical Physics, 2019, 366: 865-894 https://doi.org/10.1007/s00220-019-03361-3;
[23] De Finetti theorems for braided parafermions. to appear Communications in Mathematical Physics, 2019, (Joint with Kaifeng Bu, Arthur Jaffe, Jinsong Wu,) arXiv:1805.05990;
[24 ]Non-Commutative Renyi entropic uncertainty principles. to appear Science China Mathe- matics, 2019 (Joint with Jinsong Wu) arXiv:1904.04292;
[25] A Mathematical Picture Language Project (Joint with Arthur Jaffe,) to appear 2019 ICCM conference proceedings.