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About
President
Governance
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Visit
People
Management
Faculty
Postdocs
Visiting Scholars
Staff
Research
Research Groups
Courses
Seminars
Join Us
Faculty
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Forum
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Qiuzhen College, Tsinghua University
Yau Mathematical Sciences Center, Tsinghua University (YMSC)
Tsinghua Sanya International  Mathematics Forum (TSIMF)
Shanghai Institute for Mathematics and  Interdisciplinary Sciences (SIMIS)
BIMSA > Sébastien Palcoux

Sébastien Palcoux

     Associate Professor    
Associate Professor Sébastien Palcoux

Group: Quantum Symmetry

Office: A3-3a-306

Email: sebastienpalcoux@bimsa.cn

Research Field: Tensor Category, Subfactor, Quantum Symmetry, Quantum Algebra, Operator Algebras

Webpage: https://sites.google.com/view/sebastienpalcoux

Biography


2010, obtained a doctorate from Institut de Mathématiques de Marseille (I2M); 2014-2016, Postdoc in Institute of Mathematical Sciences (IMSc); 2019, One-year visitor at Yau Mathematical Sciences Center (YMSC), Tsinghua University; 2020-2024, Assistant Professor at BIMSA; 2024-now, Associate Professor at BIMSA.
Main Research Fields include Quantum Algebra, Quantum Symmetry, Subfactor, Planar Algebra and Fusion Category.
Published papers in the journals Advances in Mathematics, Quantum Topology, IMRN, etc...

Research Interest


Education Experience


  • 2003 - 2004      Aix-Marseille University      Mathematics      Master      Toeplitz index and cyclic cohomology      (Supervisor: Michael Puschnigg)
  • 2004 - 2005      Aix-Marseille University      Mathematics      Master      Atiyah-Singer index theorem      (Supervisor: Antony Wassermann)
  • 2005 - 2009      Aix-Marseille University      Mathematics      Doctor      Unitary discrete series, characters, Connes fusion and subfactors for the Neveu-Schwarz algebra      (Supervisor: Antony Wassermann)

Work Experience


  • 2020 -      BIMSA      Assistant Professor
  • 2019 - 2020      Tsinghua University      Visiting Scholar
  • 2017 -      Isaac Newton Institute for Mathematical Sciences      Visiting Scholar      Operator Algebras: Subfactors and their applications
  • 2016 - 2016      Hausdorff Institute for Mathematics      Visiting Scholar      von Neumann algebras Trimester
  • 2015 -      Indian Statistical Institute      Visiting Scholar      with P. Das, S. Ghosh and J. Bowmick
  • 2014 - 2014      Vanderbilt University      Visiting Scholar      with D. Bisch and V. Jones
  • -      Institute of Mathematical Sciences      Postdoc      Chennai/Madras (India) with V.S. Sunder

Honors and Awards


  • 2024      National Natural Science Foundation of China (NSFC), General Program (Grant no. 12471031)      2025-01-01 ~ 2028-12-31
  • 2022      Foreign Youth Talent Program, Ministry of Sciences and Technology of China,
  • 2022      Invited speaker at ICCM 2022

Publication


  • [1] Sebastian Burciu, Sebastien Palcoux, Structure constants, Isaacs property and Extended-Haagerup fusion categories, accepted by Communications in Algebra (2024)
  • [2] Max A. Alekseyev, Winfried Bruns, Sebastien Palcoux, Fedor V. Petrov, Classification of integral modular data up to rank 13 , arXiv:2302.01613 (2024)
  • [3] 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)
  • [4] Z Liu, S Palcoux, Y Ren, Interpolated family of non-group-like simple integral fusion rings of Lie type, International Journal of Mathematics, 34(06), 2350030 (2023)
  • [5] Sebastian Burciu, Sebastien Palcoux, Burnside type results for fusion categories, arXiv preprint arXiv:2302.07604 (2023)
  • [6] 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
  • [7] 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)
  • [8] Zhengwei Liu, Sebastien Palcoux, Yunxiang Ren, Triangular prism equations and categorification, arXiv preprint arXiv:2203.06522 (2022)
  • [9] 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)
  • [10] Zhengwei Liu, Sebastien Palcoux, Jinsong Wu, Fusion bialgebras and Fourier analysis: analytic obstructions for unitary categorification, Advances in Mathematics, 390, 107905 (2021)
  • [11] Sebastien Palcoux, Ore's theorem on subfactor planar algebras, Quantum Topology, 11(2020), no.3, 525-543
  • [12] Andrea Lucchini, Mariapia Moscatiello, Sebastien Palcoux and Pablo Spiga, Boolean lattices in finite alternating and symmetric groups, Forum of Mathematics, Sigma, 8, e55 (2020)
  • [13] Sebastien Palcoux, Pablo Spiga, The Boolean intervals of Chevalley type are strongly non group-complemented, arXiv:1911.06076 (2019)
  • [14] Dual Ore's theorem on distributive intervals of finite groups, J. Algebra, 505 (2018), 279-287.
  • [15] Ore's theorem for cyclic subfactor planar algebras and beyond, Pacific J. Math. 292-1 (2018), 203-221.
  • [16] , Euler totient of subfactor planar algebras, Proc. Am. Math. Soc., 146(11), 4775–4786 (2018)
  • [17] On Boolean intervals of finite groups (with Mamta Balodi), J. Combin. Theory Ser. A 157 (2018), 49-69.
  • [18] Dual Ore's theorem for distributive intervals of small index, arXiv:1610.07253, 15pp
  • [19] Ore's theorem for cyclic subfactor planar algebras and application, arXiv:1505.06649, 50pp
  • [20] Spectral triples for finitely presented groups, index 1, arXiv:1011.4436, 6pp
  • [21] The type III manufactory, arXiv:1011.2827, 9pp
  • [22] Neveu-Schwarz, operator algebras III: Subfactors and Connes fusion, arXiv, None(None), 54pp (2010)
  • [23] Neveu-Schwarz and operator algebras II: Unitary series and characters, arXiv:1010.0077, 30pp
  • [24] Neveu-Schwarz, operator algebras I: Vertex operator superalgebra, arXiv:1010.0078, None(None), 40pp (2010)
  • [25] Spectral triples for finitely generated groups, index 0, arXiv:1010.5221, 7pp
  • [26] S Burciu, S Palcoux, Structure constants, Isaacs property and extended Haagerup fusion categories (2024)
  • [27] S Burciu, S Palcoux, Burnside type results for fusion rings (2023)
  • [28] MA Alekseyev, W Bruns, S Palcoux, FV Petrov, Classification of integral modular data up to rank 13 (2023)
  • [29] MA Alekseyev, W Bruns, S Palcoux, FV Petrov, Classification of modular data of integral modular fusion categories up to rank 12 (2023)
  • [30] M Balodi, S Palcoux, On Boolean intervals of finite groups (2018)
  • [31] S Palcoux, Dual Ore's theorem on distributive intervals of finite groups (2018)
  • [32] S Palcoux, Ore’s theorem on cyclic subfactor planar algebras and beyond (2017)
  • [33] S Palcoux, Dual Ore's theorem for distributive intervals of small index (2016)
  • [34] S Palcoux, Ore's theorem for cyclic subfactor planar algebras and applications (2015)
  • [35] S Palcoux, Non-“weakly group theoretical” integral fusion categories? (2013)
  • [36] A Henriques, S Palcoux, Why is there such a close resemblance between the unitary representation theory of the Virasoro algebra and that of the Temperley-Lieb algebra? (2011)
  • [37] S Palcoux, Neveu-Schwarz and operators algebras III: Subfactors and Connes fusion (2010)
  • [38] S Palcoux, Neveu-Schwarz and operators algebras I: Vertex operators superalgebras (2010)
  • [39] S Palcoux, Neveu-Schwarz and operators algebras II: Unitary series and characters (2010)
  • [40] S Palcoux, The type III manufactory (2010)
  • [41] S Palcoux, Spectral triples for finitely presented groups, index 1. (2010)
  • [42] S Palcoux, Spectral triples for finitely generated groups, index 0. (2010)
  • [43] S Palcoux, Unitary discrete series, charaters, Connes fusion and subfactors for the Neveu-Schwarz algebra (2009)
  • [44] S Palcoux, Série discrète unitaire, caractères, fusion de Connes et sous-facteurs pour l'algèbre Neveu-Schwarz. (2009)
  • [45] S Palcoux, Panorama around the Virasoro algebra (2009)
  • [46] S Palcoux, Spectral triples for finitely generated groups.

 

Update Time: 2025-06-04 14:44:07


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