研究领域

子因子理论、泛函分析

教育背景

2005-2009         学士                北京大学

2009-2011         博士研究生       美国新罕普什尔大学

2011-2015         博士                 美国范德堡大学


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

2014年             Bjarni Jónsson Prize for Research, Vanderbilt University
2018年              ICCM Best paper award
2017-2020        Templeton Religion Trust 0159
2015-2017        AMS-Simons travel grant
2018                 AMS-NSF travel grant for 2018 ICM
2018                 NSF conference grant


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.1621345114 

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

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

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

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

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

[11] Constructive simulation and topological design of protocols. New Journal of Physics, (Joint with Arthur Jaffe and Alex Wozniakowski)
https://doi.org/10.1088/1367-2630/aa5b57 [12] The Noncommutative Fourier Transform: A survey. Acta Mathematica Sinica Chinese Series, (In honor of the 75th birthday of Bingren Li) 2017, 60(1): 69-80. (Joint with Jinsong Wu)
arXiv:1611.04630 

[13] The generator conjecture for 3G subfactor planar algebras. The Proceedings of the Centre for Mathematics and its Applications, Mathematical Sciences Institute, the Aus- tralian National University: The Proceedings in honor of Vaughan F. R. Jones’ 60th birthday conferences, edited by Scott Morrison and David Penneys 2017, 46: 344-366 (Joint with Dave Penneys) 
arXiv:1507.04794 

[14] Mathematical picture language program. PNAS, 2018, 115 (1) 81-86. (Joint with Arthur Jaffe) 
doi:10.1073/pnas.1710707114 

[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

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