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J-GLOBAL ID：201401071733216380   Update date: Nov. 10, 2024

Collins Benoit

コリンズ ブノワ | Collins Benoit
Affiliation and department：
Kyoto University Graduate School of Science

About Kyoto University Graduate School of Science


Job title： Professor
Homepage URL  (1)： https://www.math.kyoto-u.ac.jp/~collins/
Research field  (4)： Applied mathematics and statistics ,  Basic mathematics ,  Mathematical analysis ,  Mathematical analysis
Research keywords  (4)： Quantum groups ,  Quantum Information Theory ,  Free Probability Theory ,  Random Matrix Theory
Research theme for competitive and other funds  (10)：
  • 2023 - 2026 Macroscopic properties of discrete stochastic models and analysis of their scaling limits
  • 2021 - 2025 Random Matrix Theory: Free Probability Theory and beyond
  • 2020 - 2023 Behavior of Large random tensors and related topics
  • 2017 - 2021 Random Matrix Theory and applications to Quantum Information Theory
  • 2017 - 2020 Applications of Quantum Groups and Representation Theory to Quantum Information Theory
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Papers (111)：
  • Charles Bordenave, Benoît Collins. Strong asymptotic freeness for independent uniform variables on compact groups associated to nontrivial representations. Inventiones mathematicae. 2024. 237. 1. 221-273
  • Benoît Collins. Moment methods on compact groups: Weingarten calculus and its applications. International Congress of Mathematicians. 2023. 3142-3164
  • Benoît Collins, Razvan Gurau, Luca Lionni. The Tensor Harish-Chandra-Itzykson-Zuber Integral II: Detecting Entanglement in Large Quantum Systems. Communications in Mathematical Physics. 2023
  • Collins, Beno{\^\i}t, Gurau, Razvan G, Lionni, Luca. The tensor Harish-Chandra-Itzykson-Zuber integral I: Weingarten calculus and a generalization of monotone Hurwitz numbers. Journal of the European Mathematical Society. 2023
  • Collins, Benôit, Lamarre, Pierre Yves Gaudreau, Male, Camille. Asymptotic freeness of unitary matrices in tensor product spaces for invariant states. Random Matrices Theory Appl. 2023
ｍore...
MISC (8)：
  • Collins, Beno{\^\i}t, Fujie, Katsunori, Hasebe, Takahiro, Leid, Felix, Sakuma, Noriyoshi. Fluctuations of eigenvalues of a polynomial on Haar unitary and finite rank matrices. arXiv preprint arXiv:2309.15396. 2023
  • Bordenave, Charles, Collins, Benoit. Norm of matrix-valued polynomials in random unitaries and permutations. arXiv preprint arXiv:2304.05714. 2023
  • Benoit Collins. On the operator norm of non-commutative polynomials in deterministic matrices and iid GUE matrices. 2019
  • Benoit Collins. Additivity violation of the regularized Minimum Output Entropy. 2019
  • Timothy Cioppa, Benoit Collins. Matrix Units in the Symmetric Group Algebra, and Unitary Integration. arXiv preprint arXiv:1307.4766. 2013
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Lectures and oral presentations  (224)：
  • TBA
    (Functional Analysis Seminar, Institute for Advanced Study in Mathematics of HIT, Harbin, China 2022)
  • Matrix models for cyclic monotone and monotone independences
    (SIMA 2022, CIMAT, Guanajuato, México 2022)
  • An introduction to Weingarten calculus
    (seminar, the group of theoretical physics in Krakow, Poland (online) 2021)
  • A metric characterization of freeness
    (Recent Developments in Operator Algebras 2021)
  • On the norm convergence of multi matrix random matrix models
    (International Workshop on Operator Theory and its Applications, Lancaster University (online). 2021)
ｍore...
Education (1)：
  • 1996 - 2000 Ecole Normale Supérieure de Paris
Work history (6)：
  • 2014/04 - 現在 Kyoto University
  • 2005/10 - 現在 CNRS
  • 2006/01 - 2015/06 University of Ottawa
  • 2005/05 - 2005/12 Kyoto University (RIMS)
  • 2003/05 - 2005/05 Kyoto University (Math)
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Committee career (5)：
  • 2013/03 - 2014/04 Head of the selection panel for all NSERC grant applications in mathematics in Canada (evaluation group 1508, NSERC Discovery Grant)
  • 2011/01 - 2013/03 Natural Sciences and Engineering Research Council of Canada NSERC Discovery Grant
  • 2010/10 - 2012/07 Romanian Innovation Council
  • 2012/02 - 2012/06 Université de Franché Comte Associate professor hiring committee
  • 2010 - 2011 Fonds de recherche du Québec - Nature et technologies (FRQNT) Bourses de recherche postdoctorale
Awards (6)：
  • 2023 - The Mathematical Society of Japan The 2023 MSJ Autumn Prize Random matrices and free probability
  • 2022 - International Congress of Mathematicians Invited speaker, virtual International Congress of Mathematicians.
  • 2022 - Japan Society for the Promotion of Science Recipient of the 19th (FY2022) JSPS Prize
  • 2013 - Takabe prize
  • 2012 - G de B Robinson award
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Association Membership(s) (1)：
THE MATHEMATICAL SOCIETY OF JAPAN
※ Researcher’s information displayed in J-GLOBAL is based on the information registered in researchmap. For details, see here.

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