Basic Information

Faculty

• 国際高等教育院
• 理学部

Professional Memberships

• THE MATHEMATICAL SOCIETY OF JAPAN

Academic Degree

• Ｍ．Ｓ．(パリ第６大学)
• Ｐｈ．Ｄ．(パリ第６大学)

Academic Resume (Graduate Schools)

• パリ第６大学, 普通教育課程, 修了
• パリ第６大学, 修士課程, 修了
• パリ第６大学, 博士課程, 修了

Academic Resume (Undergraduate School/Majors)

• ルイ・ルグラン学院, グランゼコール準備学級特別課程, 修了
• パリ第１１大学, 一般教養教育課程（３学次編入）, 卒業
• ルイ・ルグラン学院, グランゼコール準備学級高等課程

Research History

• From Oct. 2005, To Present

  CNRS
• From Jan. 2006, To Jun. 2015

  University of Ottawa
• From May 2005, To Dec. 2005

  Kyoto University (RIMS)
• From May 2003, To May 2005

  Kyoto University (Math)
• From Sep. 2000, To May 2003

  ENS
• From Apr. 2014, To Present

  Kyoto University

Language of Instruction

• English
• French

ID,URL

• ORCID ID

  0000-0001-7061-6861

• J-Global ID

  201401071733216380

• Researcher ID

  D-5568-2013

• Researcher number

  20721418

• External link

  https://www.math.kyoto-u.ac.jp/~collins/

Website(s) (URL(s))

• https://www.math.kyoto-u.ac.jp/~collins/

researchmap URL

• https://researchmap.jp/7000009608

Research

Research Topics, Overview of the research

• Research Topics

  Random Matrix Theory, Operator Algebras, Free Probability Theory, Quantum Information Theory, Quantum Groups.

• Overview of the research

  My research interests include but are not limited to Random Matrices and the applications thereof. I am also interested in Free Probability, Quantum Information Theory, Operator Algebras and Quantum Groups.

Research Interests

• Quantum groups
• Quantum Information Theory
• Free Probability Theory
• Random Matrix Theory

Research Areas

• Natural sciences, Applied mathematics and statistics, Mathematical Physics
• Natural sciences, Basic mathematics, Mathematical Physics
• Natural sciences, Mathematical analysis, Probability theory
• Natural sciences, Mathematical analysis, Operator Algebras

Papers

• Matrix models for cyclic monotone and monotone independences

  Collins, Beno{\^\i}t; Leid, Felix; Sakuma, Noriyoshi

  arXiv preprint arXiv:2202.11666, 2022

  
• Moment methods on compact groups: Weingarten calculus and its applications

  Benoît Collins

  International Congress of Mathematicians, 15 Dec. 2023

  
• Strong asymptotic freeness for independent uniform variables on compact groups associated to nontrivial representations

  Charles Bordenave; Benoît Collins

  Inventiones mathematicae, 07 May 2024

  
• Strong Convergence of Unitary Brownian Motion

  Collins, Benoit; Dahlqvist, Antoine; Kemp, Todd

  arXiv preprint arXiv:1502.06186, 2015

  
• Exponentially convergent algorithm to generate random points in a $ d $--dimensional body

  Collins, Benoit; Kousha, Termeh; Kulik, Rafa\l; Szarek, Tomasz; \.Zyczkowski, Karol

  arXiv preprint arXiv:1312.7061, 2013

  
• The Tensor Harish-Chandra–Itzykson–Zuber Integral II: Detecting Entanglement in Large Quantum Systems

  Benoît Collins; Razvan Gurau; Luca Lionni

  Communications in Mathematical Physics, Jul. 2023

  
• The tensor Harish-Chandra-Itzykson-Zuber integral I: Weingarten calculus and a generalization of monotone Hurwitz numbers

  Collins, Beno{\^\i}t; Gurau, Razvan G; Lionni, Luca

  Journal of the European Mathematical Society, 28 Jan. 2023

  
• Asymptotic freeness of unitary matrices in tensor product spaces for invariant states

  Collins, Benôit; Lamarre, Pierre Yves Gaudreau; Male, Camille

  Random Matrices Theory Appl., 2023

  
• Gelfand–Tsetlin polytopes and random contractions away from the limiting shape.

  Benôıt Collins; Anthony Metcalfe

  Annales de la Faculté des sciences de Toulouse : Mathématiques, 2023

  
• The spectrum of local random Hamiltonians

  Collins, B.; Yin, Z.; Zhao, L.; Zhong, P.

  J. Phys. A, 2023, Lead author

  
• Projections of Orbital Measures and Quantum Marginal Problems

  Benoit Collins

  Trans. Amer. Math. Soc., 27 Dec. 2021

  
• Gelfand-Tsetlin polytopes and random contractions away from the limiting shapes

  Benoit Collins

  03 Nov. 2019

  
• Convergence for noncommutative rational functions evaluated in random matrices

  Benoît Collins; Tobias Mai; Akihiro Miyagawa; Félix Parraud; Sheng Yin

  Mathematische Annalen, 2022

  
• Asymptotic freeness of layerwise jacobians caused by invariance of multilayer perceptron: The haar orthogonal case

  Collins, Benoit; Hayase, Tomohiro

  arXiv preprint arXiv:2103.13466, 24 Mar. 2021

  
• Concentration estimates for random subspaces of a tensor product and application to quantum information theory

  Benoît Collins; Félix Parraud

  Journal of Mathematical Physics, 01 Oct. 2022

  
• A metric characterization of freeness

  L. Cadilhac; B. Collins

  Journal of Functional Analysis, Sep. 2022

  
• The Weingarten Calculus

  Benoit Collins; Sho Matsumoto; Jonathan Novak

  Notices of the American Mathematical Society, 01 May 2022, Lead author

  
• On spectral distribution of sample covariance matrices from large dimensional and large k-fold tensor products

  Benoît Collins; Jianfeng Yao; Wangjun Yuan

  Electronic Journal of Probability, 01 Jan. 2022, Lead author

  Access this paper :

  
• Constant gap between conventional strategies and those based on C*-dynamics for self-embezzlement

  Richard Cleve; Benoit Collins; Li Liu; Vern Paulsen

  Quantum, 07 Jul. 2022

  
• Characterization of Equivariant Maps and Application to Entanglement Detection

  Ivan Bardet; Benoît Collins; Gunjan Sapra

  Annales Henri Poincaré, Aug. 2020, Peer-reviewed

  
• Universal consistency of the k-NN rule in metric spaces and Nagata dimension

  Benoît Collins; Sushma Kumari; Vladimir G. Pestov

  ESAIM: Probability and Statistics, Jun. 2020, Peer-reviewed

  
• Temperley–Lieb Quantum Channels

  Michael Brannan; Benoît Collins; Hun Hee Lee; Sang-Gyun Youn

  Communications in Mathematical Physics, 05 May 2020, Peer-reviewed

  
• Automorphism-invariant positive definite functions on free groups

  Benoit Collins

  in Proceedings of the 27th International Conference in Operator Theory (OT27)., 17 Apr. 2020, Peer-reviewed

  
• Entanglement and the Temperley-Lieb category

  Michael Brannan; Beno{\^{\i } }t Collins

  Topological Phases of Matter and Quantum Computation, 2020, Peer-reviewed

  
• Matrix models for $\varepsilon$-free independence

  Benoit Collins

  Archiv der Mathematik, 10 Oct. 2019, Peer-reviewed

  
• Eigenvalues of random lifts and polynomials of random permutation matrices

  Charles Bordenave; Benoît Collins

  Annals of Mathematics, 2019, Peer-reviewed

  
• Dual bases in Temperley-Lieb algebras

  Michael Brannan; Benoit Collins

  OPERATOR ALGEBRAS AND MATHEMATICAL PHYSICS, 2019, Peer-reviewed

  
• Dual bases in Temperley–Lieb algebras, quantum groups, and a question of Jones

  Michael Brannan; Benoît Collins

  Quantum Topology, Jul. 2018, Peer-reviewed

  
• Semiclassical asymptotics of $$\mathbf {GL}_N({\mathbb {C } })$$GLN(C) tensor products and quantum random matrices

  Benoît Collins; Jonathan Novak; Piotr Śniady

  Selecta Mathematica, 10 Jan. 2018, Peer-reviewed

  
• The PPT square conjecture holds generically for some classes of independent states

  Collins, Benoît; Yin, Zhi; Zhong, Ping

  Journal of Physics A: Mathematical and Theoretical, 2018, Peer-reviewed

  
• On a family of linear maps from Mn(C) to Mn2(C)

  Collins, Benoît; Osaka, Hiroyuki; Sapra, Gunjan

  Linear Algebra and its Applications, 2018, Peer-reviewed

  
• Free probability for purely discrete eigenvalues of random matrices

  Sakuma, Noriyoshi; Hasebe, Takahiro; Benoit Collins

  Journal of the Mathematical Society of Japan, 2018, Peer-reviewed

  
• HAAGERUP'S INEQUALITY AND ADDITIVITY VIOLATION OF THE MINIMUM OUTPUT ENTROPY

  Benoit Collins

  Houston Journal of Mathematics, 2018, Peer-reviewed

  
• Convex set of quantum states with positive partial transpose analysed by hit and run algorithm

  Konrad Szymański; Benoît Collins; Tomasz Szarek; Karol Zyczkowski

  Journal of Physics A: Mathematical and Theoretical, 01 Jun. 2017, Peer-reviewed

  
• The spectral edge of unitary Brownian motion

  Benoît Collins; Antoine Dahlqvist; Todd Kemp

  Probability Theory and Related Fields, Feb. 2017, Peer-reviewed

  
• ⁎-freeness in finite tensor products

  Benoit Collins; Pierre Yves Gaudreau Lamarre

  Advances in Applied Mathematics, Feb. 2017, Peer-reviewed

  
• The Accessibility of Convex Bodies and Derandomization of the Hit and Run Algorithm

  Kulik, Rafal; Szarek, Tomasz; Kousha, Termeh; Collins, Benoit; Karol Zyczkowski

  Journal of Convex Analysis, 2017, Peer-reviewed

  
• Random and Free Positive Maps with Applications to Entanglement Detection

  Nechita, Ion; Hayden, Patrick; Benoit Collins

  International Mathematics Research Notices, 2017, Peer-reviewed

  
• THE CONNES EMBEDDING PROPERTY FOR QUANTUM GROUP VON NEUMANN ALGEBRAS

  Vergnioux, Roland; Brannan, Michael; Benoit Collins

  Transactions of the American Mathematical Society, 2017, Peer-reviewed

  
• Weingarten calculus via orthogonality relations: new applications

  Matsumoto, Sho; Benoit Collins

  ALEA-Latin American Journal of Probability and Mathematical Statistics, 2017, Peer-reviewed

  
• Highly Entangled, Non-random Subspaces of Tensor Products from Quantum Groups

  Michael Brannan; Benoit Collins

  Communications in Mathematical Physics, 2017, Peer-reviewed

  
• Almost One Bit Violation for the Additivity of the Minimum Output Entropy

  Nechita, Ion; Belinschi, Serban T.; Benoit Collins

  Communications in Mathematical Physics, 2016, Peer-reviewed

  
• Random matrix techniques in quantum information theory

  Nechita, Ion; Benoit Collins

  Journal of Mathematical Physics, 2016, Peer-reviewed

  
• Characterization of singular numbers of products of operators in matrix algebras and finite von Neumann algebras

  K. Dykema; W.S. Li; H. Bercovici; Benoit Collins

  Bulletin des Sciences Mathematiques, 2015, Peer-reviewed

  
• On the convergence of output sets of quantum channels

  Benoît Collins; Motohisa Fukuda; Ion Nechita

  Journal of Operator Theory, 2015, Peer-reviewed

  
• Characterization of singular numbers of products of operators in matrix algebras and finite von Neumann algebras

  Bercovici, Hari; Collins, Benoit; Dykema, Ken; Li, Wing Suet

  Bulletin des Sciences Mathématiques, 2015, Peer-reviewed

  
• Numerical range for random matrices

  Benoit Collins; Piotr Gawron; Alexander E. Litvak; Karol Zyczkowski

  JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, Oct. 2014, Peer-reviewed

  
• Numerical range for random matrices

  Benoit Collins; Piotr Gawron; Alexander E. Litvak; Karol Zyczkowski

  JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, Oct. 2014, Peer-reviewed

  
• Integration of invariant matrices and moments of inverses of Ginibre and Wishart matrices

  Benoit Collins; Sho Matsumoto; Nadia Saad

  JOURNAL OF MULTIVARIATE ANALYSIS, Apr. 2014, Peer-reviewed

  
• Liberation of projections

  Benoit Collins; Todd Kemp

  JOURNAL OF FUNCTIONAL ANALYSIS, Feb. 2014, Peer-reviewed

  
• Integration of invariant matrices and application to statistics

  Benoit Collins; Sho Matsumoto; Nadia Saad

  J. Multivariate Anal., 13 Jan. 2014

  
• THE STRONG ASYMPTOTIC FREENESS OF HAAR AND DETERMINISTIC MATRICES

  Male, Camille; Benoit Collins

  Annales Scientifiques de l'Ecole Normale Superieure, 2014, Peer-reviewed

  
• Liberation of projections

  Todd Kemp; Benoit Collins

  Journal of Functional Analysis, 2014, Peer-reviewed

  
• Dimensions of components of tensor products of representations of linear groups with applications to Beurling-Fourier algebras

  Collins, B.; Lee, H.H.; ͆niady, P.

  Studia Mathematica, 2014, Peer-reviewed

  
• Integration of invariant matrices and moments of inverses of Ginibre and Wishart matrices

  Sho Matsumoto; Nadia Saad; Benoit Collins

  Journal of Multivariate Analysis, 2014, Peer-reviewed

  
• Dimensions of components of tensor products of representations of linear groups with applications to Beurling-Fourier algebras

  Benoit Collins; Hun Hee Lee; Piotr Sniady

  STUDIA MATHEMATICA, 2014, Peer-reviewed

  
• Estimates for compression norms and additivity violation in quantum information

  Ping Zhong; Motohisa Fukuda; Benoit Collins

  International Journal of Mathematics, 2014, Peer-reviewed

  
• THE STRONG ASYMPTOTIC FREENESS OF HAAR AND DETERMINISTIC MATRICES

  Benoit Collins; Camille Male

  ANNALES SCIENTIFIQUES DE L ECOLE NORMALE SUPERIEURE, Jan. 2014, Peer-reviewed

  
• Area law for random graph states

  Benoit Collins; Ion Nechita; Karol Zyczkowski

  JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, Aug. 2013, Peer-reviewed

  
• Characterization of singular numbers of products of operators in matrix algebras and finite von Neumann algebras

  Hari Bercovici; Benoit Collins; Ken Dykema; Wing Suet Li

  27 Jun. 2013

  
• Area law for random graph states

  Benoit Collins

  J. Phys. A, 2013, Peer-reviewed

  
• LOW ENTROPY OUTPUT STATES FOR PRODUCTS OF RANDOM UNITARY CHANNELS

  MOTOHISA FUKUDA; ION NECHITA; Benoit Collins

  Random Matrices-theory and Applications, 2013, Peer-reviewed

  
• A Maximality Result for Orthogonal Quantum Groups

  Benoît Collins; Stephen Curran; Julien Bichon; Teodor Banica

  Communications in Algebra, 2013, Peer-reviewed

  
• Matrix Product States, Random Matrix Theory and the Principle of Maximum Entropy

  Benoît Collins; David Pérez-García; Carlos E. González-Guillén

  Communications in Mathematical Physics, 2013, Peer-reviewed

  
• Random Matrices: Theory and Applications Vol. 2, No. 4 (2013) 1399001 (2 pages) c\copyright World Scientific Publishing Company

  Adamczak, R; Barone, P; Bose, A; Gangopadhyay, S; Saha, K; Cafasso, M; Cheng, X; Singer, A; Collins, B; Fukuda, M; others

  evaluation, 2013, Peer-reviewed

  
• THE ABSOLUTE POSITIVE PARTIAL TRANSPOSE PROPERTY FOR RANDOM INDUCED STATES

  DEPING YE; ION NECHITA; Benoit Collins

  Random Matrices-theory and Applications, 2012, Peer-reviewed

  
• Eigenvectors and eigenvalues in a random subspace of a tensor product

  Ion Nechita; Benoît Collins; Serban Belinschi

  Inventiones Mathematicae, 2012, Peer-reviewed

  
• Towards a state minimizing the output entropy of a tensor product of random quantum channels

  Ion Nechita; Motohisa Fukuda; Benoît Collins

  Journal of Mathematical Physics, 2012, Peer-reviewed

  
• On polynomial integrals over the orthogonal group

  Teodor Banica; Benoit Collins; Jean-Marc Schlenker

  JOURNAL OF COMBINATORIAL THEORY SERIES A, Apr. 2011, Peer-reviewed

  
• A nonconvex asymptotic quantum Horn body

  Benoit Collins

  New York Journal of Mathematics, 2011, Peer-reviewed

  
• Random quantum channels II: Entanglement of random subspaces, Rényi entropy estimates and additivity problems

  Collins, B.; Nechita, I.

  Advances in Mathematics, 2011, Peer-reviewed

  
• Free Bessel Laws

  T. Banica; M. Capitaine; S. T. Belinschi; Benoit Collins

  Canadian Journal of Mathematics-journal Canadien de Mathematiques, 2011, Peer-reviewed

  
• On polynomial integrals over the orthogonal group

  Jean-Marc Schlenker; Benoit Collins; Teodor Banica

  Journal of Combinatorial Theory, Series A, 2011, Peer-reviewed

  
• Gaussianization and eigenvalue statistics for random quantum channels (III)

  Ion Nechita; Benoît Collins

  The Annals of Applied Probability, 2011, Peer-reviewed

  
• Generating random density matrices

  Benoît Collins; Ion Nechita; Karol A. Penson; Karol Życzkowski

  Journal of Mathematical Physics, 2011, Peer-reviewed

  
• Free products of sofic groups with amalgamation over monotileably amenable groups

  Benoit Collins

  Muenster Journal of Mathematics, 2011, Peer-reviewed

  
• A nonconvex asymptotic quantum Horn body

  Collins, B.; Dykema, K.J.

  New York Journal of Mathematics, 2011, Peer-reviewed

  
• Free products of sofic groups with amalgamation over monotileably amenable groups

  Benoit Collins; Ken Dykema

  M\"unster J. Math. 4 (2011), 101--118, 09 Mar. 2010

  
• On orthogonal matrices maximizing the 1-norm

  Jean-Marc Schlenker; Benoit Collins; Teodor Banica

  Indiana University Mathematics Journal, 2010, Peer-reviewed

  
• Intersections of Schubert varieties and eigenvalue inequalities in an arbitrary finite factor

  H. Bercovici; D. Timotin; W.S. Li; K. Dykema; B. Collins

  Journal of Functional Analysis, 2010, Peer-reviewed

  
• Random Quantum Channels I: Graphical Calculus and the Bell State Phenomenon

  Ion Nechita; Benoît Collins

  Communications in Mathematical Physics, 2010, Peer-reviewed

  
• Eigenvalue and Entropy Statistics for Products of Conjugate Random Quantum Channels

  Ion Nechita; Benoît Collins

  Entropy, 2010, Peer-reviewed

  
• On Orthogonal Matrices Maximizing the 1-norm

  Teodor Banica; Benoit Collins; Jean-Marc Schlenker

  INDIANA UNIVERSITY MATHEMATICS JOURNAL, 2010, Peer-reviewed

  
• Sum-of-Squares Results for Polynomials Related to the Bessis–Moussa–Villani Conjecture

  Francisco Torres-Ayala; Kenneth J. Dykema; Benoît Collins

  Journal of Statistical Physics, 2010, Peer-reviewed

  
• Random graph states, maximal flow and Fuss–Catalan distributions

  Karol Życzkowski; Ion Nechita; Benoît Collins

  Journal of Physics A: Mathematical and Theoretical, 2010, Peer-reviewed

  
• Homology of free quantum groups

  Andreas Thom; Johannes Härtel; Benoît Collins

  Comptes Rendus Mathematique, 2009, Peer-reviewed

  
• Representations of Lie groups and random matrices

  Piotr Śniady; Benoît Collins

  Transactions of the American Mathematical Society, 2009, Peer-reviewed

  
• Asymptotics of unitary and orthogonal matrix integrals

  Edouard Maurel-Segala; Alice Guionnet; Benoît Collins

  Advances in Mathematics, 2009, Peer-reviewed

  
• Spectral Analysis of the Free Orthogonal Matrix

  P. Zinn-Justin; B. Collins; T. Banica

  International Mathematics Research Notices, 2009, Peer-reviewed

  
• On some properties of orthogonal Weingarten functions

  Sho Matsumoto; Benoît Collins

  Journal of Mathematical Physics, 2009, Peer-reviewed

  
• ON A REDUCTION PROCEDURE FOR HORN INEQUALITIES IN FINITE VON NEUMANN ALGEBRAS

  Benoit Collins; Ken Dykema

  OPERATORS AND MATRICES, 2009, Peer-reviewed

  
• ON A REDUCTION PROCEDURE FOR HORN INEQUALITIES IN FINITE VON NEUMANN ALGEBRAS

  Benoit Collins; Ken Dykema

  OPERATORS AND MATRICES, 2009, Peer-reviewed

  
• Borel theorems for random matrices from the classical compact symmetric spaces

  Michael Stolz; Benoît Collins

  The Annals of Probability, 2008, Peer-reviewed

  
• Integration over the Pauli quantum group

  Benoît Collins; Teodor Banica

  Journal of Geometry and Physics, 2008, Peer-reviewed

  
• A linearization of Connes' embedding problem

  Collins, B.; Dykema, K.

  New York Journal of Mathematics, 2008, Peer-reviewed

  
• On a reduction procedure for Horn inequalities in finite von Neumann algebras

  Benoit Collins; Ken Dykema

  Oper. Matrices 3 (2009), 1-40, 26 Nov. 2007

  
• Free Bessel laws

  Teodor Banica; Serban Belinschi; Mireille Capitaine; Benoit Collins

  Canad. J. Math. 63 (2011), 3-37, 01 Nov. 2007

  
• A Linearization of Connes' Embedding Problem

  Benoit Collins; Ken Dykema

  New York J. Math. 14 (2008), 617-641, 27 Jun. 2007

  
• Second order freeness and fluctuations of random matrices III. Higher order freeness and free cumulants

  Collins, B.; Mingo, J.A.; Śniady, P.; Speicher, R.

  Documenta Mathematica, 2007, Peer-reviewed

  
• Integration over quantum permutation groups

  Banica, T.; Collins, B.

  Journal of Functional Analysis, 2007, Peer-reviewed

  
• The hyperoctahedral quantum group

  Benoit Collins

  Journal of the Ramanujan Mathematical Society, 2007, Peer-reviewed

  
• New scaling of Itzykson–Zuber integrals

  P SNIADY; B COLLINS

  Annales de l'institut Henri Poincare (B) Probability and Statistics, 2007, Peer-reviewed

  
• Integration over compact quantum groups

  Benoît Collins; Teodor Banica

  Publications of the Research Institute for Mathematical Sciences, 2007, Peer-reviewed

  
• Quantum permutation groups: A survey

  Benoît Collins; Julien Bichon; Teodor Banica

  Noncommutative Harmonic Analysis with Applications to Probability, 2007, Peer-reviewed

  
• Second order freeness and fluctuations of random matrices III. Higher order freeness and free cumulants

  Collins, B.; Mingo, J.A.; Śniady, P.; Speicher, R.

  Documenta Mathematica, 2007, Peer-reviewed

  
• Quantum permutation groups: a survey

  Teodor Banica; Julien Bichon; Benoit Collins

  Banach Center Publ. 78 (2007), 13-34, 23 Dec. 2006

  
• Theoretical limits on extrasolar terrestrial planet detection with coronagraphs

  O. Guyon; E. A. Pluzhnik; M. J. Kuchner; B. Collins; S. T. Ridgway

  Astrophysical Journal, Supplement Series, Nov. 2006, Peer-reviewed

  
• Integration with Respect to the Haar Measure on Unitary, Orthogonal and Symplectic Group

  Piotr Śniady; Benoît Collins

  Communications in Mathematical Physics, 2006, Peer-reviewed

  
• Product of random projections, Jacobi ensembles and universality problems arising from free probability

  Benoit Collins

  Probability Theory and Related Fields, 2005, Peer-reviewed

  
• Martin boundary theory of some quantum random walks

  Collins, B.

  Annales de l'institut Henri Poincare (B) Probability and Statistics, 2004, Peer-reviewed

  
• Moments and cumulants of polynomial random variables on unitary groups, the itzykson-zuber integral, and free probability

  Collins, B.

  International Mathematics Research Notices, 2003, Peer-reviewed

  

Misc.

• Fluctuations of eigenvalues of a polynomial on Haar unitary and finite rank matrices

  Collins, Beno{\^\i}t; Fujie, Katsunori; Hasebe, Takahiro; Leid, Felix; Sakuma, Noriyoshi

  arXiv preprint arXiv:2309.15396, 27 Sep. 2023

  
• Norm of matrix-valued polynomials in random unitaries and permutations

  Bordenave, Charles; Collins, Benoit

  arXiv preprint arXiv:2304.05714, 12 Apr. 2023

  
• On the operator norm of non-commutative polynomials in deterministic matrices and iid GUE matrices

  Benoit Collins

  10 Dec. 2019

  
• Additivity violation of the regularized Minimum Output Entropy

  Benoit Collins

  18 Jul. 2019

  
• Matrix Units in the Symmetric Group Algebra, and Unitary Integration

  Timothy Cioppa; Benoit Collins

  arXiv preprint arXiv:1307.4766, 17 Jul. 2013

  
• Compound wishart matrices and noisy covariance matrices: Risk underestimation

  Collins, Beno\^\it; McDonald, David; Saad, Nadia

  arXiv preprint arXiv:1306.5510, 24 Jun. 2013

  
• APPLICATIONS OF FREE PROBABILITY TO QUANTUM INFORMATION THEORY (Mathematical Studies on Independence and Dependence Structure : Algebra meets Probability)

  COLLINS BENOIT

  RIMS Kokyuroku, Dec. 2012

  Access this misc :

  
• Asymptotic fluctuations of representations of the unitary groups

  Benoît Collins; Piotr Śniady

  30 Nov. 2009, Peer-reviewed

  

Presentations

• TBA

  Benoît Collins

  Functional Analysis Seminar, Institute for Advanced Study in Mathematics of HIT, Harbin, China, 28 Sep. 2022, Invited

  
• Matrix models for cyclic monotone and monotone independences

  Benoît Collins

  SIMA 2022, CIMAT, Guanajuato, México, 09 Sep. 2022, Invited

  
• An introduction to Weingarten calculus

  Benoît Collins

  seminar, the group of theoretical physics in Krakow, Poland (online), 13 Dec. 2021, Invited

  
• A metric characterization of freeness

  Benoît Collins

  Recent Developments in Operator Algebras, 28 Sep. 2021, Invited

  
• On the norm convergence of multi matrix random matrix models

  Benoît Collins

  International Workshop on Operator Theory and its Applications, Lancaster University (online)., 27 Aug. 2021, Invited

  
• On the operator norm of tensors

  Benoît Collins

  Structured Random Matrices in Down Under: New Developments and Applications, MATRIX, Melbourne (online)., 04 Aug. 2021, Invited

  
• Weingarten calculus for tensors

  Benoît Collins

  Tensors and applications, Sakura project: Random matrices and tensors for quantum information and machine learning, online., 01 Jul. 2021, Invited

  
• Matrix models for non-commutative rational functions

  Benoît Collins

  Global NCG Seminar, online, 29 Mar. 2021, Invited

  
• A metric characterization of freeness

  Benoît Collins

  Operator Algebras and Operator Theory Seminar, Seoul National University, 17 Mar. 2021, Invited

  
• On the operator norm of random matrices

  Benoît Collins

  MSJ Spring Meeting, Keio University, Tokyo (online), 15 Mar. 2021, Invited

  
• Generalized strong convergence iid random unitaries

  Benoît Collins

  Functional Analysis Seminar, UCLA, 17 Feb. 2021, Invited

  
• Matrix integrals in a tensor setup

  Benoît Collins

  *NEW DATES* OIST Workshop "Quantum Math, Singularities and Applications", Okinawa (online), 10 Feb. 2021, Invited

  
• Weingarten calculus in a tensor setup

  Benoît Collins

  TENSOR JOURNAL CLUB (online), 13 Jan. 2021, Invited

  
• Generalized strong asymptotic freeness

  Benoît Collins

  Tokyo-Kyoto Joint Online Operator Algebra Seminars, 03 Dec. 2020, Invited

  
• Regularized quantities for quantum channels involving free groups

  Benoît Collins

  Entangling Noncommutative Functional Analysis and Geometry of Banach Spaces, CIRM, Marseille (online), 15 Oct. 2020, Invited

  
• Tensor powers of linear maps and applications to quantum information

  Benoît Collins

  Recent Developments in Operator Algebras, RIMS, Kyoto (online), 09 Sep. 2020, Invited

  
• Strong asymptotic freeness for random tensors of unitaries

  Benoît Collins

  Probability seminar, Princeton, 20 Nov. 2019, Invited

  
• Strong asymptotic freeness for random tensors of unitaries

  Benoît Collins

  Probability and Mathematical Physics Seminar, NYU, 15 Nov. 2019, Invited

  
• Regularized minimum output entropy and generalized Haagerup inequalities

  Benoît Collins

  Colloquium, Kaohsiung, 31 Oct. 2019, Invited

  
• Norm estimates for polynomials in random permutations

  Benoît Collins

  Probability seminar, Academia Sinica, Taipei, 30 Oct. 2019, Invited

  
• Strong convergence for random permutations

  Benoît Collins

  Colloquium, Melbourne, 22 Oct. 2019, Invited

  
• Strong convergence for random permutations and random tensors

  Benoît Collins

  Japanese-German Open Conference on Stochastic Analysis, Sep. 2019, Invited

  
• Random Matrix Techniques in Quantum Information Theory

  Benoît Collins

  WPI 2019, 22 Aug. 2019, Invited

  
• Infinite dimensional quantum channels and free probability

  Benoît Collins

  Workshop on Developments and Technical Aspects of Free Noncommutative Functions, Fields, 14 Jun. 2019, Invited

  
• Equivariance and application to entanglement detection

  Benoît Collins

  Interactions between Noncommutative Analysis and Quantum Information Theory, Harbin, 02 Jun. 2019, Invited

  
• Strong Asymptotic Freeness for Random Permutations and Random Tensors

  Benoît Collins

  Special Math Seminar, NYUS, Shanghai, 09 May 2019, Invited

  
• Strong convergence for random tensors

  Benoît Collins

  Probability seminar, Berkeley, Mar. 2019, Invited

  
• Equivariance and application to entanglement detection

  Benoît Collins

  SITP Seminar, Stanford2, 15 Feb. 2019, Invited

  
• PPT and PPT2

  Benoît Collins

  3rd Bangkok workshop on Discrete Geometry Dynamics and Statistics, 25 Jan. 2019, Invited

  
• PPT and PPT2

  Benoît Collins

  Nagoya international workshop on the Physics and Mathematics of Discrete Geometries, 07 Nov. 2018, Invited

  
• norm estimate for polynomials in unitary random tensors

  Benoît Collins

  OIST Mini Symposium ``Holographic Tensors'', 02 Nov. 2018, Invited

  
• Strong convergence for random permutations

  Benoît Collins

  Hong Kong Probability Seminar, HKUST, 23 Mar. 2018, Invited

  
• calcul de Weingarten classique et quantique

  Benoît Collins

  colloque, Caen., 16 Jan. 2018, Invited

  
• strong convergence for random permutations

  Benoît Collins

  Functional analysis seminar, Paris 6., Jan. 2018, Invited

  
• On Alon's generalized second eigenvalue conjecture

  Benoît Collins

  colloquium, uOttawa. summer, 2018, Invited

  
• strong convergence for random permutations

  Benoît Collins

  Probability seminar, Orsay., Dec. 2017, Invited

  
• Asymptotics of $GL_N(\mathbb{C})$ tensor products and quantum random matrices

  Benoît Collins

  ProbabLY ON Random Matrices, ENS Lyon., 03 Apr. 2017, Invited

  
• talk

  Benoît Collins

  Asymptotic Representation Theory, IHP, Paris, Invited

  
• Highly entangled spaces through non random methods

  Benoît Collins

  Operator Algebras and Quantum Information Theory, RIMS, Kyoto, 03 Feb. 2017, Invited

  
• Norm convergence for random unitary multimatrix models and Quantum Information Theory

  Benoît Collins

  GMS, Luxembourg, 21 Nov. 2016, Invited

  
• talk

  Benoît Collins

  research group on Free Probability Theory and Random Matrices, Saarebruecken, 19 Nov. 2016, Invited

  
• Norm convergence for random unitary multimatrix models and Quantum Information Theory

  Benoît Collins

  Seminar in Applied Mathematics, HKUST, Hong Kong, 16 Nov. 2016, Invited

  
• Operator norm convergence for the unitary Brownian motion

  Benoît Collins

  Random Product Matrices, Bielefeld, 26 Aug. 2016, Invited

  
• Coefficients of the basis elements dual to the Temperley-Lieb basis and Weingarten calculus on $O_n^+$

  Benoît Collins

  Operator Algebras and Mathematical Physics, MSJ-SI, Sendai, 12 Aug. 2016, Invited

  
• Free probability for quantum computation

  Benoît Collins

  Stochastic Methods in Quantum Mechanics, ANR, Autrans, 20 Jul. 2016, Invited

  
• talk

  Benoît Collins

  Sapporo, Jun. 2016, Invited

  
• Free probability for random matrices with purely discrete eigenvalues

  Benoît Collins

  Free Probability and the Large N Limit, V, university of California, Berkeley, 23 Mar. 2016, Invited

  
• Applications of the Haagerup's inequality and strong convergence of random matrices to quantum information theory

  Benoît Collins

  SITP, Stanford, 24 Mar. 2016, Invited

  
• talk

  Benoît Collins

  Paris, Feb. 2016, Invited

  
• talk

  Benoît Collins

  Tokyo, Aug. 2015, Invited

  
• De Finetti theorems in quantum information theory, separable states, and (quantum) group symmetries

  Benoît Collins

  Quantum Groups and Quantum Information Theory, Herstmonceux, UK, 14 Jul. 2015, Invited

  
• k-positive maps

  Benoit Collins

  MFO, free probability, Oberwolfach, 09 Jun. 2015, Invited

  
• Unitary Valued Brownian Motion

  Benoit Collins

  Queen's free probability seminar, 10 Mar. 2015, Invited

  
• Random positive maps

  Benoit Collins

  Random matrices and their applications, Hong Kong, 09 Jan. 2015, Invited

  
• Weingarten calculus and applications

  Benoit Collins

  Winter school on Operator Spaces, Noncommutative Probability and Quantum Groups, Metabief, 08 Dec. 2014, Invited

  
• Random positive maps

  Benoit Collins

  Colloquium, Kolkata, 25 Sep. 2014, Invited

  
• Random positive maps

  Benoît Collins

  Recent Developments in Operator Algebras, RIMS, Kyoto, 10 Sep. 2014, Invited

  
• random tensors and asymptotic freeness

  Benoit Collins

  ESI workshop, Austria, 17 Jul. 2014, Invited

  
• MOE additivity violation via free probability theory

  Benoit Collins

  Colloquio sul, Florianopolis, Brazil, 29 Apr. 2014, Invited

  
• Describing exchangeable SU(n) invariant separable states

  Benoit Collins

  KOAS, 22 Apr. 2014

  
• Numerical range for random matrices

  Benoit Collins

  Queen's free probability seminar, 15 Feb. 2014

  
• numerical range for random matrices

  Benoit Collins

  Kansai seminar, Kinosaki, 21 Dec. 2013, Invited

  
• Matrix Theory in Quantum Information

  Benoît Collins

  CMS Winter Meeting, Ottawa, Dec. 2013, Invited

  
• Violation of the MOE additivity via free probability

  Benoit Collins

  Seoul National University Operator Algebra seminar, 21 Nov. 2013, Invited

  
• Free probability and QIT

  Benoit Collins

  Kyoto University colloquium, 13 Nov. 2013, Invited

  
• QIT and Free probability

  Benoit Collins

  Special colloquium, Tohoku University, 12 Nov. 2013

  
• talk

  Benoît Collins

  Discrete Mathematics & its Applications, JSP-DST seminar, Tokyo, Nov. 2013, Invited

  
• Quantum channels and free probability

  Benoit Collins

  JSP-DST seminar, Tokyo University, 25 Oct. 2013, Invited

  
• Operator norm convergence for sequence of matrices and application to QIT

  Benoît Collins

  Quantum Marginals, Newton Institute, Cambridge, 13 Oct. 2013, Invited

  
• talk

  Benoît Collins

  Geometry Seminar, Tohoku, Oct. 2013, Invited

  
• Free compression norms and Lp norms

  Benoît Collins

  New mathematical directions for quantum information, Newton Institute, Cambridge, 04 Sep. 2013, Invited

  
• Free compression norms and $L_p$ norms

  Benoît Collins

  Intensive Month on Operator Algebra and Harmonic Analysis, Madrid, 22 May 2013, Invited

  
• Free probability and minimum output entropy in quantum information

  Benoît Collins

  Workshop on Operator Algebras - for the 80th birthday of Masamichi Takesaki -, Tokyo, 10 May 2013, Invited

  
• talk

  Benoît Collins

  operator algebra seminar, TAMU, Apr. 2013, Invited

  
• Norm convergence for random matrices and applications

  Benoit Collins

  Probability Seminar, Harvard, 14 Mar. 2013

  
• Quantum information, free probability and random matrices

  Benoit Collins

  Colloquium, St John's, 01 Feb. 2013, Invited

  
• RANDOM MATRICES, FREE PROBABILITY AND QUANTUM INFORMATION THEORY

  Benoit Collins

  Quantum Information Theory talk, Perimeter Institute, 31 Jan. 2013, Invited

  
• Norm convergence of unitary random matrix models and quantum information theory

  Benoit Collins

  AMS SPECIAL SESSION ON THE PROGRESS IN FREE PROBABILITY AND FREE ANALYSIS, 11 Jan. 2013, Invited

  
• Random matrices, free probability and quantum information

  Benoit Collins

  Geometry Seminar, Tohoku University, Sendai, 15 Nov. 2012, Invited

  
• Mouvements browniens non commutatifs

  Benoit Collins

  Séminaire d'Analyse Harmonique Non Commutative, Université de Caen Basse-Normandie, 24 Oct. 2012

  
• Probability seminar

  Benoit Collins

  Probability Seminar, Rennes (France), 01 Oct. 2012

  
• Liberation of projections

  Benoit Collins

  Minisymposium on Free Probability and Random Matrices, Saarland University, 17 Sep. 2012, Invited

  
• Free probability techniques in quantum information theory

  Benoit Collins

  Workshop on Quantum Probabilistic Symmetries, Aberystwyth University, 03 Sep. 2012, Invited

  
• Free probability and QIT

  Benoit Collins

  inauguration du pole d'excellence, 01 Sep. 2012, Invited

  
• Random matrices, free probability and quantum information THEORY

  Benoit Collins

  RMT and statistics, Minneapolis (US), 01 Jul. 2012, Invited

  
• talk

  Benoit Collins

  colloquium Germany Leipzig, 01 Jun. 2012, Invited

  
• Non-Commutative Brownian Motions

  Benoit Collins

  Probabilistic Methods in Quantum Mechanics, University Claude Bernard Lyon 1, 16 May 2012, Invited

  
• talk

  Benoit Collins

  Quantum Information Theory Seminar, ETH Zurich, 21 Apr. 2012, Invited

  
• Matrices aléatoires et information quantique

  Benoit Collins

  Séminaire de Probabilités-Statistiques, Laboratoire de Mathématiques de Versailles, 10 Apr. 2012, Invited

  
• Norm convergence for unitary random matrices

  Benoit Collins

  EPSRC Symposium Workshop - Interacting particle systems, growth models and random matrices, University of Warwick, 21 Mar. 2012, Invited

  
• talk

  Benoit Collins

  RMT and free probability theory California, United States Berkeley, 01 Mar. 2012, Invited

  
• quantum symmetries

  Benoit Collins

  quantum symmetries workshop, 01 Mar. 2012, Invited

  
• Random quantum channels

  Benoit Collins

  Operator structures in quantum information theory, Banff International Research Station Alberta, Canada Banff, 27 Feb. 2012, Invited

  
• talk

  Benoit Collins

  seminaire de probabilites France Toulouse, 01 Feb. 2012, Invited

  
• talk

  Benoit Collins

  Centre International de Rencontres Mathématiques France Marseille, 15 Jan. 2012, Invited

  
• talk

  Benoit Collins

  Operator Algebra seminar Korea, Republic of Cheongju, 15 Nov. 2011, Invited

  
• talk

  Benoit Collins

  OA/FA meeting Japan Okinawa, 01 Nov. 2011, Invited

  
• Applications of Random Matrix Theory to Quantum Information Theory

  Benoît Collins

  Operator Algebras and Mathematical Physics, Kansai seminar house, Kyoto, Invited

  
• New results in Free Probability theory and applications to Quantum Information theory

  Benoit Collins

  Kyoto Operator Algebra Seminar, Research Institute for Mathematical Sciences Japan Kyoto, 12 Oct. 2011, Invited

  
• Random matrices, representations of GL(n) and free probability of higher order

  Benoit Collins

  Large N-limit of random multi-matrix systems, von Neumann algebras and free probability, The Erwin Schrodinger International Institute for Mathematical Physics, 21 Apr. 2011, Invited

  
• talk

  Benoit Collins

  RMT/stats conference Minnesota, United States Minneapolis, 01 Apr. 2011, Invited

  
• Computational Approach to Mathematical Problems - Riemann Hypothesis

  Benoit Collins

  Japanese-French Frontiers of Science, Japan Society for the Promotion of Science Japan Tokyo, 21 Jan. 2011, Invited

  
• talk

  Benoit Collins

  Seminar of Operator Algebras, University of Copenhagen, 24 Nov. 2010, Invited

  
• Random matrix theory and quantum information theory

  Benoit Collins

  Quantum Information Theory, Institut Mittag-Leffler, 01 Nov. 2010, Invited

  
• Free probability and entropy additivity problems for Quantum information theory

  Benoit Collins

  Operator Algebra Seminar, University of Tokyo, 21 Oct. 2010, Invited

  
• talk

  Benoît Collins

  journees de Cergy, Cergy, Oct. 2010, Invited

  
• Courses on quantum groups, free probability and non-commutative geometry

  Benoit Collins

  Groupes quantiques et géométrie non commutative, Centre International de Rencontres Mathématiques, 27 Sep. 2010, Invited

  
• Higher order freeness and asymptotic representations of unitary groups

  Benoit Collins

  Seminar on Asymptotic Representation Theory, Nagoya University, 16 Sep. 2010, Invited

  
• Higher order freeness and asymptotic representations of unitary groups

  Benoît Collins

  Stochastic Processes and Their Applications, SPA, Osaka, 06 Sep. 2010, Invited

  
• Spectral properties of generators of $A_o(n)$

  Benoît Collins

  QUANTUM GROUPS, Clermont, 31 Aug. 2010, Invited

  
• talk

  Benoît Collins

  conference, Osaka, Sep. 2010, Invited

  
• Eigenvalues of vectors in a random subspace

  Benoît Collins

  OA seminar, Tokyo, Sep. 2010, Invited

  
• talk

  Benoît Collins

  Luminy, Sep. 2010, Invited

  
• Random permutation matrices and sofic groups

  Benoît Collins

  Workshop on Groups and Group Actions in Operator Algebra Theory, Fields, Ottawa, 15 Jul. 2010, Invited

  
• Random Matrix Theory and Quantum Information Theory

  Benoît Collins

  Conference on Random Matrices, Paris 6, Jun. 2010, Invited

  
• talk

  Benoît Collins

  Banff, Jun. 2010, Invited

  
• Free Probability and Quantum Information Theory

  Benoît Collins

  $C^*$-Algebren, Mathematical Research Institute of Oberwolfach, Oberwolfach, Germany, 08 Mar. 2010, Invited

  
• talk

  Benoît Collins

  operator algebra seminar, University of Waterloo, 26 Feb. 2010, Invited

  
• Free Probability and Quantum Information Theory

  Benoît Collins

  Free Probability and Large N Limit, II, UCLA, 04 Feb. 2010, Invited

  
• Free probability and quantum information theory

  Benoît Collins

  Cryptography and Quantum Information, McGill University, Montreal, 28 Nov. 2009, Invited

  
• Free probability theory and quantum information theory

  Benoît Collins

  Colloquium, Queen's University, 20 Nov. 2009, Invited

  
• Free probability theory and quantum information theory

  Benoît Collins

  Colloquium, Toronto University, 28 Oct. 2009, Invited

  
• Random quantum channels: almost sure confinement of the eigenvalues

  Benoît Collins

  Workshop on Operator Structures in Quantum Information, Fields, Toronto, 09 Jul. 2009, Invited

  
• Mod`eles de matrices pour des groupes quantiques. Les Matrices Al ́eatoires de GranMa

  Benoît Collins

  ANR Granma meeting, Lyon, Jun. 2009, Invited

  
• talk

  Benoît Collins

  Luminy, Marseille, 11 Jun. 2009, Invited

  
• Random quantum channels: almost sure confinement of the eigenvalues

  Benoît Collins

  Workshop on Operator Structures in Quantum Information, Fields, Toronto, 09 Jun. 2009, Invited

  
• Random matrix models arising from quantum information theory and applications

  Benoît Collins

  41 Symposium on Mathematical Physics, Nicolaus Copernicus University, Tor'un, 05 Jun. 2009, Invited

  
• talk

  Benoît Collins

  operator algebra seminar, Wroclaw, 03 Jun. 2009, Invited

  
• Some geometric and probabilistic properties of the free quantum groups

  Benoît Collins

  Canadian Operator;Symposium, Regina, 27 May 2009, Invited

  
• Connes embedding property for $A_o(n)$ and $A_s(n)$

  Benoît Collins

  Quantum Group Workshop, Toulouse, 15 May 2009, Invited

  
• Matrix approximation in non-commutative probability, representation theory and Schubert calculus

  Benoît Collins

  analysis seminar, Wroclaw, 06 May 2009, Invited

  
• talk

  Benoît Collins

  asymptotic analysis seminar, Nagoya, Mar. 2009, Invited

  
• talk

  Benoît Collins

  Kyushu, 10 Feb. 2009, Invited

  
• quantum information and graphical calculus

  Benoît Collins

  quantum information seminar, Sendai, 02 Feb. 2009, Invited

  
• talk

  Benoît Collins

  Kyoto operator algebra seminar, Kyoto, 24 Jan. 2009, Invited

  
• Some geometric and probabilistic properties of the free quantum group $A_o(n)$

  Benoît Collins

  Operator Algebras Seminar, Tokyo., 17 Dec. 2008, Invited

  
• talk

  Benoît Collins

  TAMU, 04 Dec. 2008, Invited

  
• talk

  Benoît Collins

  coperator algebra seminar, Goettingen., 13 Nov. 2008, Invited

  
• Free Bessel laws and new examples of liberated quantum groups

  Benoît Collins

  Workshop Operator Algebraic Aspects of Quantum Groups, ERC meeting, Leuven., 10 Nov. 2008, Invited

  
• On the spectral measure of the sum of elements in a finite von Neumann algebra

  Benoît Collins

  Tokyo university colloquium, 24 Oct. 2008, Invited

  
• Quantum groups and quantum probability

  Benoît Collins

  Saskatoon colloquium, Invited

  
• Convergence of unitary matrix integrals

  Benoît Collins

  Stochastics and Statistics Seminar, MIT., 23 Sep. 2008, Invited

  
• Convergence of Unitary and Orthogonal Matrix integrals

  Benoît Collins

  Erlangen DMV meeting., Invited

  
• On the spectral measure of the sum of elements in a finite von Neumann algebra

  Benoît Collins

  Non-Commutative Geometry and K-Theory for Operator Algebras, 2nd France-Canada, Montreal., Jun. 2008, Invited

  
• talk

  Benoît Collins

  Canadian Operator Symposium, Fields, University of Toronto., Invited

  
• talk

  Benoît Collins

  Topological Methods in Algebra, Analysis and Dynamical Systems, Fields workshop, Nipissing., Invited

  
• talk

  Benoît Collins

  CMS meeting, OA, Fields institute, Toronto., May 2008, Invited

  
• Some probabilistic and topological properties of the free quantum orthogonal group $A_o(n)$

  Benoît Collins

  AMS meeting, Bloomington., 05 Apr. 2008, Invited

  
• Weingarten calculus and combinatorics of free probability

  Benoît Collins

  Journées Groupes Quantiques, ANR workshop, Strasbourg., 14 Feb. 2008, Invited

  
• talk

  Benoît Collins

  probability seminar, Toulouse., Feb. 2008, Invited

  
• Free Bessel laws

  Benoît Collins

  Free Probability, Extensions, and Applications, Banff., 14 Jan. 2008, Invited

  
• talk

  Benoît Collins

  series of lectures, Nagoya., Dec. 2007, Invited

  
• talk

  Benoît Collins

  Kansai OA seminar, Kyoto., Dec. 2007, Invited

  
• Weingarten calculus on enveloping algebras and non-commutative random matrices

  Benoît Collins

  Workshop on Free Probability, Random Matrices, and Planar Algebras, Fields, Toronto., 18 Sep. 2007, Invited

  
• talk

  Benoît Collins

  Quantum Probability and Related Topics, CIMAT, Guanajuato., Sep. 2007, Invited

  
• talk

  Benoît Collins

  Summer School in Operator Algebras, Fields, Ottawa., Aug. 2007, Invited

  
• A linearization theorem for non-commutative probability spaces and applications to Connes embeddability conjecture

  Benoît Collins

  concentration week in Free Probability, College Station TAMU., Jul. 2007, Invited

  
• Some probabilistic aspects of quantum groups

  Benoît Collins

  Meeting on noncommutative Lp spaces, CIRM., Jun. 2007, Invited

  
• A linearization theorem for non-commutative probability spaces and applications to Connes embeddability conjecture

  Benoît Collins

  Free Probabilities, Operator Spaces and von Neumann Algebras, Sibiu., 14 Jun. 2007, Invited

  
• A linearization theorem for non-commutative probability spaces and applications to the Connes

  Benoît Collins

  Interactions between Probability and Functional Analysis, Fields, Carleton University, Ottawa., 04 May 2007, Invited

  
• Convergence of unitary matrix integrals

  Benoît Collins

  Free Probability and Large N Limit, UC Berkeley., 28 Mar. 2007, Invited

  
• talk

  Benoît Collins

  College Station, Feb. 2007, Invited

  
• talk

  Benoît Collins

  Ottawa., Jan. 2007, Invited

  
• Convergence of unitary matrix integrals

  Benoît Collins

  Probabilistic Methods in Analysis and Algebra, CMS Winter Meeting, Toronto., 11 Dec. 2006, Invited

  
• talk

  Benoît Collins

  Kyushu, Dec. 2006, Invited

  
• talk

  Benoît Collins

  Osaka, Dec. 2006, Invited

  
• talk

  Benoît Collins

  Tokyo., Dec. 2006, Invited

  
• Convergence of unitary matrix integrals

  Benoît Collins

  Random Matrices, CIRM, Luminy., 02 Nov. 2006, Invited

  
• talk

  Benoît Collins

  Goettingen., Nov. 2006, Invited

  
• Convergence of unitary matrix integrals

  Benoît Collins

  9th Workshop: Non-commutative Harmonic Analysis with Applications to Probability, B\c{e}dlewo, Sep. 2006, Invited

  
• talk

  Benoît Collins

  Sendai, Sep. 2006, Invited

  
• talk

  Benoît Collins

  Cork, Sep. 2006, Invited

  
• talk

  Benoît Collins

  Besancon, Jun. 2006, Invited

  
• talk

  Benoît Collins

  Cork, Jun. 2006, Invited

  
• talk

  Benoît Collins

  Wroclaw, Jun. 2006, Invited

  
• Connes property for quantum groups

  Benoît Collins

  Quantum groups meeting, Toulouse, 22 May 2006, Invited

  
• talk

  Benoît Collins

  Wroclaw, May 2006, Invited

  
• Quelques r\'esultats r\'ecents sur l'int\'egrale de Itzykson-Zuber et ses scalings

  Benoît Collins

  Conf\'erence en probabilit\'e, EPFL, Lausanne, 26 Apr. 2006, Invited

  
• talk

  Benoît Collins

  Toulouse, Apr. 2006, Invited

  
• talk

  Benoît Collins

  Texas A&M University, Apr. 2006, Invited

  
• talk

  Benoît Collins

  Bochum, Apr. 2006, Invited

  
• talk

  Benoît Collins

  Ottawa university Colloquium, 15 Mar. 2006, Invited

  
• talk

  Benoît Collins

  Besancon, Feb. 2006, Invited

  
• talk

  Benoît Collins

  University of Illinois at Urbana Champaign, Feb. 2006, Invited

  
• talk

  Benoît Collins

  Queens, Feb. 2006, Invited

  
• Representation of unitary groups, random matrix theory and free probability

  Benoît Collins

  operator algebra and ergodic theory seminar, Kyushu, 28 Nov. 2005, Invited

  
• talk

  Benoît Collins

  Seoul, Nov. 2005, Invited

  
• Itzykson-Zuber integral and Voiculescu’s R-transform

  Benoît Collins

  Workshop on Operator algebras, Operator spaces and Noncommutative Probability, Paris 6, Jun. 2005, Invited

  
• Free probability

  Benoît Collins

  MFO Oberwolfach, Mar. 2005, Invited

  
• talk

  Benoît Collins

  Case Western reserve, Colloquium, 15 Feb. 2005, Invited

  
• Higher order freeness

  Benoît Collins

  IDAQ seminar, Sendai, 08 Feb. 2005, Invited

  
• Braid Groups, Clusters and Free Probability

  Benoît Collins

  Palo Alto, AIM, Jan. 2005, Invited

  
• Free probability and Jacobi ensembles

  Benoît Collins

  Free probability, Banff, Oct. 2004, Invited

  
• Development of the limit of the IZ integral close to zero

  Benoît Collins

  Sendai, 10 Sep. 2004, Invited

  
• An introduction to map enumeration via matrix integrals

  Benoît Collins

  Junior, 27 Aug. 2004, Invited

  
• talk

  Benoît Collins

  Free probability workshop, Aug. 2004, Invited

  
• Integration over classical compact groups with applications to free probability and matrix integrals

  Benoît Collins

  Warwick, UK O'Connell, May 2004, Invited

  
• Integration over classical compact groups with applications to free probability and matrix integrals

  Benoît Collins

  Kyoto operator algebra seminar, 12 May 2004, Invited

  
• talk

  Benoît Collins

  Seminar of operator algebra, Tokyo university, 05 Mar. 2004, Invited

  
• talk

  Benoît Collins

  Aoba Seminar, 16 Feb. 2004, Invited

  
• Unitary integration, matrix integrals and free probability

  Benoît Collins

  Seminar of operator algebra, Tohoku university, 19 Dec. 2003, Invited

  
• Free probability and classical modified matrix ensembles

  Benoît Collins

  17 Dec. 2003, Invited

  
• Free probability and Jacobi ensembles

  Benoît Collins

  Workshop operator algebra/functional analysis, Nagoya, 17 Nov. 2003, Invited

  
• Free probability and matrix integrals

  Benoît Collins

  Seminar of operator algebra, Tokyo university, 13 Nov. 2003, Invited

  
• Free probability and universality results for modified Jacobi ensembles

  Benoît Collins

  Seminar of analysis, Kingston university, 27 Oct. 2003, Invited

  
• Quantum Martin boundary

  Benoît Collins

  Seminar of operator algebra, Kyushuu university, 27 Oct. 2003, Invited

  
• Integration on compact groups and free probability

  Benoît Collins

  Seminar of mathematics, Waterloo university, 14 Oct. 2003, Invited

  
• Random matrices and free probability

  Benoît Collins

  Kyoto university, seminar of probability, 19 Sep. 2003, Invited

  
• Free probability and Jacobi ensembles

  Benoît Collins

  Journees de probabilites, 09 Sep. 2003, Invited

  
• Projecteurs aleatoires, ensembles de Jacobi, probabilites libres

  Benoît Collins

  workshop GdR algebres d'operateurs, 09 Jul. 2003, Invited

  
• Free probability and Itzykson-Zuber integral

  Benoît Collins

  Kansai operator algebra seminar, Kyoto, 25 Jun. 2003, Invited

  
• Quantum Martin Boundary

  Benoît Collins

  operator algebra seminar, Kyoto, 28 May 2003, Invited

  
• Modified Jacobi ensembles and free probability theory

  Benoît Collins

  Katholieke universiteit leuven, 30 Apr. 2003, Invited

  
• Itzykson-Zuber type integrals and free probability

  Benoît Collins

  Workshop IHP random growth, 22 Jan. 2003, Invited

  
• Itzykson-Zuber type integrals and free probability

  Benoît Collins

  Workshop random matrices, Sandbjerg Manor, Denmark, 09 Jan. 2003, Invited

  
• Matrices aleatoires et probabilites libres

  Benoît Collins

  Seminaire de probabilites de Toulouse, 06 Dec. 2002

  
• Integration sur le groupe unitaire

  Benoît Collins

  Seminaire de probabilites de Toulouse, 05 Dec. 2002, Invited

  
• A combinatorial approach to the IZ integral and free probability

  Benoît Collins

  PIMS Vancouver, 10 Aug. 2002, Invited

  
• Convergence d'integrales de type Itzykson-Zuber

  Benoît Collins

  Aussois colloque jeunes probabilistes, 30 Apr. 2002, Invited

  
• rencontre groupement de recherche algebre d'operateurs

  Benoît Collins

  CIRM, 04 Mar. 2002, Invited

  
• une approche combinatoire de l'integrale de IZ, II

  Benoît Collins

  GdT Paris 6, 20 Mar. 2001, Invited

  
• une approche combinatoire de l'integrale de IZ, I

  Benoît Collins

  GdT Paris 6, 13 Mar. 2001, Invited

  
• Quantum Martin boundary

  Benoît Collins

  workshop Wroclaw, 25 Aug. 2000, Invited

  
• Quantum Martin boundary

  Benoît Collins

  GdT Paris 6, 15 Jun. 2000, Invited

  

Awards

• 21 Sep. 2023

  2023年度日本数学会賞秋季賞
• 15 Dec. 2022

  第19回(2022年度)日本学術振興会賞
• 20 Sep. 2013

  JSM, Takebe prize
• 08 Dec. 2012

  CMS, G. de B. Robinson award
• 01 Apr. 2010

  Ministry of Research, Ontario, Early Research Award

External funds: Kakenhi

• Random Matrix Theory: Free Probability Theory and beyond

  Grant-in-Aid for Scientific Research (B)

  Basic Section 12010:Basic analysis-related

  Kyoto University

  COLLINS Benoit

  From 01 Apr. 2021, To 31 Mar. 2025, Granted

  Random Matrices;Free Probability;Random Tensors;free probability;random permutations;Free probability;Quantum Information;random matrices;operator norm;Random Matrix Theory

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-21H00987/
• Behavior of Large random tensors and related topics

  Grant-in-Aid for Challenging Research (Exploratory)

  Medium-sized Section 12:Analysis, applied mathematics, and related fields

  Kyoto University

  COLLINS Benoit

  From 30 Jul. 2020, To 31 Mar. 2024, Granted

  free probability;random tensors;ランダムテンソル;自由確率論;ランダム行列

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-20K20882/
• Applications of Quantum Groups and Representation Theory to Quantum Information Theory

  Grant-in-Aid for Challenging Research (Exploratory)

  Kyoto University

  BENOIT COLLINS

  From 30 Jun. 2017, To 31 Mar. 2022, Project Closed

  quantum information;quantum groups;自由確率論;量子情報理論;量子群;表現論;量子情報;representation theory;free probability;Quantum Information;Quantum groups

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-17K18734/
• Random Matrix Theory and applications to Quantum Information Theory

  Grant-in-Aid for Young Scientists (A)

  Kyoto University

  Benoit Collins

  From 01 Apr. 2017, To 31 Mar. 2021, Project Closed

  Free probability;Random Matrices;free probability;operator norm;ランダム行列理論;ランダム行列論;自由確率論;量子情報;Random Matrix;Quantum Information;ランダム行列;random matrix theory

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-17H04823/
• Random Matrix Theory and its applications(Fostering Joint International Research)

  Fund for the Promotion of Joint International Research (Fostering Joint International Research)

  Kyoto University

  Benoit Collins

  From 01 Apr. 2016, To 31 Mar. 2019, Project Closed

  Random Matrix Theory;量子情報理論;ランダム行列;quantum information;random matrix theory;Random Matrices;Quantum information;operator algebra;random matrices;representation theory

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-15KK0162/
• Random Matrix Theory and its applications

  Grant-in-Aid for Young Scientists (B)

  Kyoto University

  Benoit Collins

  From 01 Apr. 2014, To 31 Mar. 2018, Project Closed

  Random matrices;quantum information;random matrix theory;representation theory;Random Matrices;Quantum Information;MOE additivity;positive maps;Connes Problem;free probability;planar algebras;Ramdom matrices;free quantum groups;Weingarten formula

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-26800048/
• Non backtracking operators and its applications

  Grant-in-Aid for Challenging Research (Pioneering)

  Medium-sized Section 12:Analysis, applied mathematics, and related fields

  Kyoto University

  COLLINS Benoit

  From 30 Jun. 2023, To 31 Mar. 2028, Granted

  非バックトラック作用素;Random Tensors;Free Probability Theory

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-23K17299/
• Macroscopic properties of discrete stochastic models and analysis of their scaling limits

  Fund for the Promotion of Joint International Research (International Collaborative Research)

  Medium-sized Section 12:Analysis, applied mathematics, and related fields

  Waseda University

  熊谷 隆

  From 08 Sep. 2023, To 31 Mar. 2026, Granted

  確率論;離散確率モデ ル;ランダム媒質;ランダム行列;確率偏微分方程式

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-23KK0050/
• Random Matrix Theory: Free Probability Theory and beyond

  Grant-in-Aid for Scientific Research (B)

  Basic Section 12010:Basic analysis-related

  Kyoto University

  COLLINS Benoit

  From 01 Apr. 2021, To 31 Mar. 2025, Granted

  free probability;random matrix theory;Random Matrices;Free Probability;Random Tensors;random permutations;Free probability;Quantum Information;random matrices;operator norm;Random Matrix Theory

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-23K20800/

Education

Teaching subject(s)

• From 01 Apr. 2024, To 31 Mar. 2025

  Honors Mathematics B-E2

  N165, Spring, Institute for Liberal Arts and Sciences, 2
• From 01 Apr. 2024, To 31 Mar. 2025

  Advanced Analysis III

  4106, Spring, Faculty of Science, 2
• From 01 Apr. 2024, To 31 Mar. 2025

  Forefront of Mathematics and Mathematical Science I

  4138, Spring, Faculty of Science, 2
• From 01 Apr. 2024, To 31 Mar. 2025

  Linear Algebra with Exercises A

  N159, Spring, Institute for Liberal Arts and Sciences, 3
• From 01 Apr. 2024, To 31 Mar. 2025

  Calculus with Exercises A

  N157, Spring, Institute for Liberal Arts and Sciences, 3
• From 01 Apr. 2024, To 31 Mar. 2025

  Topics in Analysis C

  0275, Spring, Graduate School of Science, 2
• From 01 Apr. 2024, To 31 Mar. 2025

  Seminar on Computer Science a (for Basic Mathematics Course)

  0482, Spring, Graduate School of Science, 3
• From 01 Apr. 2024, To 31 Mar. 2025

  Seminar on Applied Mathematics d (for Basic Mathematics Course)

  0481, Fall, Graduate School of Science, 3
• From 01 Apr. 2024, To 31 Mar. 2025

  Seminar on Applied Mathematics c (for Basic Mathematics Course)

  0480, Spring, Graduate School of Science, 3
• From 01 Apr. 2024, To 31 Mar. 2025

  Seminar on Computer Science d (for Basic Mathematics Course)

  0485, Fall, Graduate School of Science, 3
• From 01 Apr. 2024, To 31 Mar. 2025

  Seminar on Computer Science c (for Basic Mathematics Course)

  0484, Spring, Graduate School of Science, 3
• From 01 Apr. 2024, To 31 Mar. 2025

  Seminar on Computer Science b (for Basic Mathematics Course)

  0483, Fall, Graduate School of Science, 3
• From 01 Apr. 2024, To 31 Mar. 2025

  Seminar on Analysis c

  0476, Spring, Graduate School of Science, 3
• From 01 Apr. 2024, To 31 Mar. 2025

  Seminar on Analysis b

  0475, Fall, Graduate School of Science, 3
• From 01 Apr. 2024, To 31 Mar. 2025

  Seminar on Analysis a

  0474, Spring, Graduate School of Science, 3
• From 01 Apr. 2024, To 31 Mar. 2025

  Seminar on Applied Mathematics b (for Basic Mathematics Course)

  0479, Fall, Graduate School of Science, 3
• From 01 Apr. 2024, To 31 Mar. 2025

  Seminar on Applied Mathematics a (for Basic Mathematics Course)

  0478, Spring, Graduate School of Science, 3
• From 01 Apr. 2024, To 31 Mar. 2025

  Seminar on Analysis d

  0477, Fall, Graduate School of Science, 3
• From 01 Apr. 2024, To 31 Mar. 2025

  Seminar on Insurance a

  0486, Spring, Graduate School of Science, 3
• From 01 Apr. 2024, To 31 Mar. 2025

  Seminar on Functional Analysis D

  0539, Fall, Graduate School of Science, 3
• From 01 Apr. 2024, To 31 Mar. 2025

  Seminar on Insurance d

  0489, Fall, Graduate School of Science, 3
• From 01 Apr. 2024, To 31 Mar. 2025

  Seminar on Insurance c

  0488, Spring, Graduate School of Science, 3
• From 01 Apr. 2024, To 31 Mar. 2025

  Seminar on Insurance b

  0487, Fall, Graduate School of Science, 3
• From 01 Apr. 2024, To 31 Mar. 2025

  Seminar on Functional Analysis C

  0538, Spring, Graduate School of Science, 3
• From 01 Apr. 2024, To 31 Mar. 2025

  Seminar on Functional Analysis B

  0537, Fall, Graduate School of Science, 3
• From 01 Apr. 2024, To 31 Mar. 2025

  Seminar on Functional Analysis A

  0536, Spring, Graduate School of Science, 3
• From 01 Apr. 2024, To 31 Mar. 2025

  Seminar on Geometry d

  0473, Fall, Graduate School of Science, 3
• From 01 Apr. 2024, To 31 Mar. 2025

  Seminar on Algebra d

  0469, Fall, Graduate School of Science, 3
• From 01 Apr. 2024, To 31 Mar. 2025

  Seminar on Algebra c

  0468, Spring, Graduate School of Science, 3
• From 01 Apr. 2024, To 31 Mar. 2025

  Seminar on Algebra b

  0467, Fall, Graduate School of Science, 3
• From 01 Apr. 2024, To 31 Mar. 2025

  Seminar on Geometry c

  0472, Spring, Graduate School of Science, 3
• From 01 Apr. 2024, To 31 Mar. 2025

  Seminar on Geometry b

  0471, Fall, Graduate School of Science, 3
• From 01 Apr. 2024, To 31 Mar. 2025

  Seminar on Geometry a

  0470, Spring, Graduate School of Science, 3
• From 01 Apr. 2024, To 31 Mar. 2025

  Seminar on Functional Analysis b

  0439, Fall, Graduate School of Science, 3
• From 01 Apr. 2024, To 31 Mar. 2025

  Seminar on Functional Analysis a

  0438, Spring, Graduate School of Science, 3
• From 01 Apr. 2024, To 31 Mar. 2025

  Seminar on Algebra a

  0466, Spring, Graduate School of Science, 3
• From 01 Apr. 2024, To 31 Mar. 2025

  Seminar on Functional Analysis d

  0441, Fall, Graduate School of Science, 3
• From 01 Apr. 2024, To 31 Mar. 2025

  Seminar on Functional Analysis c

  0440, Spring, Graduate School of Science, 3
• From 01 Apr. 2023, To 31 Mar. 2024

  Honors Mathematics B-E2

  N165, Spring, Institute for Liberal Arts and Sciences, 2
• From 01 Apr. 2023, To 31 Mar. 2024

  Forefront of Mathematics and Mathematical Science II

  4139, Fall, Faculty of Science, 2
• From 01 Apr. 2023, To 31 Mar. 2024

  Seminar on Functional Analysis D

  0539, Fall, Graduate School of Science, 3
• From 01 Apr. 2023, To 31 Mar. 2024

  Seminar on Functional Analysis C

  0538, Spring, Graduate School of Science, 3
• From 01 Apr. 2023, To 31 Mar. 2024

  Linear Algebra with Exercises A

  N159, Spring, Institute for Liberal Arts and Sciences, 3
• From 01 Apr. 2023, To 31 Mar. 2024

  Linear Algebra with Exercises B

  N160, Fall, Institute for Liberal Arts and Sciences, 3
• From 01 Apr. 2022, To 31 Mar. 2023

  Linear Algebra with Exercises B

  N160, Fall, Institute for Liberal Arts and Sciences, 3
• From 01 Apr. 2022, To 31 Mar. 2023

  Linear Algebra with Exercises A

  N159, Spring, Institute for Liberal Arts and Sciences, 3
• From 01 Apr. 2022, To 31 Mar. 2023

  Honors Mathematics B-E2

  N165, Spring, Institute for Liberal Arts and Sciences, 2
• From 01 Apr. 2022, To 31 Mar. 2023

  Seminar on Functional Analysis b

  0439, Fall, Graduate School of Science, 3
• From 01 Apr. 2022, To 31 Mar. 2023

  Topics in Analysis B

  0175, Fall, Graduate School of Science, 2
• From 01 Apr. 2022, To 31 Mar. 2023

  Seminar on Functional Analysis a

  0438, Spring, Graduate School of Science, 3
• From 01 Apr. 2022, To 31 Mar. 2023

  Seminar on Functional Analysis d

  0441, Fall, Graduate School of Science, 3
• From 01 Apr. 2022, To 31 Mar. 2023

  Seminar on Functional Analysis B

  0537, Fall, Graduate School of Science, 3
• From 01 Apr. 2022, To 31 Mar. 2023

  Seminar on Functional Analysis c

  0440, Spring, Graduate School of Science, 3
• From 01 Apr. 2022, To 31 Mar. 2023

  Seminar on Functional Analysis A

  0536, Spring, Graduate School of Science, 3
• From 01 Apr. 2022, To 31 Mar. 2023

  Advanced Analysis II

  4105, Fall, Faculty of Science, 2
• From 01 Apr. 2022, To 31 Mar. 2023

  Forefront of Mathematics and Mathematical Science II

  4139, Fall, Faculty of Science, 2
• From Apr. 2014, To Mar. 2015

  Honors Mathematics A

  Fall, 全学共通科目
• From Apr. 2015, To Mar. 2016

  Honors Mathematics A

  Fall, 全学共通科目
• From Apr. 2015, To Mar. 2016

  Linear Algebra A

  Spring, 全学共通科目
• From Apr. 2015, To Mar. 2016

  Linear Algebra B

  Fall, 全学共通科目
• From Apr. 2015, To Mar. 2016

  Seminar on Functional Analysis A

  Spring, 理学研究科
• From Apr. 2015, To Mar. 2016

  Seminar on Functional Analysis B

  Fall, 理学研究科
• From Apr. 2015, To Mar. 2016

  Seminar on Functional Analysis C

  Spring, 理学研究科
• From Apr. 2015, To Mar. 2016

  Seminar on Functional Analysis D

  Fall, 理学研究科
• From Apr. 2015, To Mar. 2016

  Seminar on Analysis A

  Spring, 理学研究科
• From Apr. 2015, To Mar. 2016

  Seminar on Analysis B

  Fall, 理学研究科
• From Apr. 2016, To Mar. 2017

  Honors Mathematics A-E2

  Fall, 全学共通科目
• From Apr. 2016, To Mar. 2017

  Linear Algebra with Exercises A

  Spring, 全学共通科目
• From Apr. 2016, To Mar. 2017

  Seminar on Functional Analysis A

  Spring, 理学研究科
• From Apr. 2016, To Mar. 2017

  Seminar on Functional Analysis B

  Fall, 理学研究科
• From Apr. 2016, To Mar. 2017

  Seminar on Functional Analysis C

  Spring, 理学研究科
• From Apr. 2016, To Mar. 2017

  Seminar on Functional Analysis D

  Fall, 理学研究科
• From Apr. 2016, To Mar. 2017

  Seminar on Analysis C

  Spring, 理学研究科
• From Apr. 2016, To Mar. 2017

  Seminar on Analysis D

  Fall, 理学研究科
• From Apr. 2016, To Mar. 2017

  Advanced Analysis II

  Fall, 理学部
• From Apr. 2016, To Mar. 2017

  Topics in Analysis B

  Fall, 理学研究科
• From Apr. 2017, To Mar. 2018

  Honors Mathematics B-E2

  Spring, 全学共通科目
• From Apr. 2017, To Mar. 2018

  Linear Algebra with Exercises A

  Spring, 全学共通科目
• From Apr. 2017, To Mar. 2018

  Seminar on Functional Analysis A

  Spring, 理学研究科
• From Apr. 2017, To Mar. 2018

  Seminar on Functional Analysis B

  Fall, 理学研究科
• From Apr. 2017, To Mar. 2018

  Seminar on Functional Analysis C

  Spring, 理学研究科
• From Apr. 2017, To Mar. 2018

  Seminar on Functional Analysis D

  Fall, 理学研究科
• From Apr. 2018, To Mar. 2019

  Honors Mathematics A-E2

  Fall, 全学共通科目
• From Apr. 2018, To Mar. 2019

  Honors Mathematics B-E2

  Spring, 全学共通科目
• From Apr. 2018, To Mar. 2019

  Linear Algebra with Exercises A

  Spring, 全学共通科目
• From Apr. 2018, To Mar. 2019

  Linear Algebra with Exercises B

  Fall, 全学共通科目
• From Apr. 2018, To Mar. 2019

  Seminar on Functional Analysis a

  Spring, 理学研究科
• From Apr. 2018, To Mar. 2019

  Seminar on Functional Analysis b

  Fall, 理学研究科
• From Apr. 2018, To Mar. 2019

  Seminar on Functional Analysis c

  Spring, 理学研究科
• From Apr. 2018, To Mar. 2019

  Seminar on Functional Analysis d

  Fall, 理学研究科
• From Apr. 2018, To Mar. 2019

  Mathematics seminary

  Year-long, 理学部
• From Apr. 2019, To Mar. 2020

  Honors Mathematics A-E2

  Fall, 全学共通科目
• From Apr. 2019, To Mar. 2020

  Linear Algebra with Exercises A

  Spring, 全学共通科目
• From Apr. 2019, To Mar. 2020

  Linear Algebra with Exercises B

  Fall, 全学共通科目
• From Apr. 2019, To Mar. 2020

  Seminar on Functional Analysis a

  Spring, 理学研究科
• From Apr. 2019, To Mar. 2020

  Seminar on Functional Analysis b

  Fall, 理学研究科
• From Apr. 2019, To Mar. 2020

  Seminar on Functional Analysis c

  Spring, 理学研究科
• From Apr. 2019, To Mar. 2020

  Seminar on Functional Analysis d

  Fall, 理学研究科
• From Apr. 2020, To Mar. 2021

  Honors Mathematics B-E2

  Spring, 全学共通科目
• From Apr. 2020, To Mar. 2021

  Linear Algebra with Exercises A

  Spring, 全学共通科目
• From Apr. 2020, To Mar. 2021

  Seminar on Functional Analysis a

  Spring, 理学研究科
• From Apr. 2020, To Mar. 2021

  Seminar on Functional Analysis b

  Fall, 理学研究科
• From Apr. 2020, To Mar. 2021

  Seminar on Functional Analysis c

  Spring, 理学研究科
• From Apr. 2020, To Mar. 2021

  Seminar on Functional Analysis d

  Fall, 理学研究科
• From Apr. 2020, To Mar. 2021

  Advanced Analysis III

  Spring, 理学部
• From Apr. 2020, To Mar. 2021

  Topics in Analysis F

  Spring, 理学研究科
• From Apr. 2021, To Mar. 2022

  Honors Mathematics B-E2

  Spring, 全学共通科目
• From Apr. 2021, To Mar. 2022

  Linear Algebra with Exercises A

  Spring, 全学共通科目
• From Apr. 2021, To Mar. 2022

  Linear Algebra with Exercises B

  Fall, 全学共通科目
• From Apr. 2021, To Mar. 2022

  Seminar on Functional Analysis a

  Spring, 理学研究科
• From Apr. 2021, To Mar. 2022

  Seminar on Functional Analysis b

  Fall, 理学研究科
• From Apr. 2021, To Mar. 2022

  Seminar on Functional Analysis c

  Spring, 理学研究科
• From Apr. 2021, To Mar. 2022

  Seminar on Functional Analysis d

  Fall, 理学研究科
• From Apr. 2021, To Mar. 2022

  Special study course (Mathematical Science)

  Year-long, 理学部

Participation in PhD Defense

• Classification of Quantum Graphs on M2 and algebraic characterization of properties of quantum graphs

  MATSUDA JUNICHIRO, Graduate School of Science, Chief Examiner

  25 Mar. 2024
• Interval Approximations for Fully Commutative Quivers and Their Applications

  Chenguang Xu, Graduate School of Science, Sub-chief Examiner

  25 Mar. 2024
• THE FREE PROBABILISTIC ANALYSIS OF RATIONAL FUNCTIONS AND q-DEFORMATION

  MIYAGAWA AKIHIRO, Graduate School of Science, Chief Examiner

  25 Mar. 2024
• and empirical measures, the irregular set and entropy

  USUKI SHUNSUKE, Graduate School of Science, Sub-chief Examiner

  25 Mar. 2024
• Cluster construction and limit properties of renewal Hawkes processes

  LUIS IVAN HERNANDEZ RUIZ, Graduate School of Science, Sub-chief Examiner

  25 Mar. 2024
• Limit theorems of persistence diagrams for random cubical filtrations

  MIYANAGA JUN, Graduate School of Science, Sub-chief Examiner

  23 Mar. 2023
• A topological invariant for continuous fields of Cuntz algebras

  SOGABE TARO, Graduate School of Science, Sub-chief Examiner

  24 Nov. 2021
• Random Matrices and Quantum Information Theory

  F■lix PARRAUD, Graduate School of Science, Chief Examiner

  24 Sep. 2021

Part-time lecturer

• From 01 Oct. 2022, To 31 Mar. 2023

  九州大学, 大学院数理学府

Administration

Faculty management (title, position)

• From 01 Apr. 2024, To 31 Mar. 2025

  理学研究科SACRA国際戦略部門委員会委員
• From 01 Apr. 2023, To 31 Mar. 2024

  理学研究科将来計画委員会委員
• From 01 Apr. 2023, To 31 Mar. 2024

  理学研究科大学院教育常任委員会委員
• From 01 Apr. 2023, To 31 Mar. 2024

  理学研究科大学院教育教務委員会委員
• From 01 Apr. 2023, To 31 Mar. 2024

  理学研究科SACRA国際戦略部門委員会委員
• From 01 Apr. 2023, To 31 Mar. 2024

  理学研究科研究科会議構成員
• From 01 Apr. 2022, To 31 Mar. 2023

  理学研究科将来計画委員会・プロジェクトスペース委員会委員
• From 01 Apr. 2022, To 31 Mar. 2023

  理学研究科大学院教育教務委員会委員
• From 01 Apr. 2022, To 31 Mar. 2023

  理学研究科SACRA国際戦略部門委員会委員
• From 01 Apr. 2022, To 31 Mar. 2023

  理学研究科研究科会議構成員
• From 01 Apr. 2021, To 31 Mar. 2022

  理学部・教育委員会委員
• From 01 Apr. 2021, To 31 Mar. 2022

  理学部・教育委員会　教務委員会委員
• From 01 Apr. 2021, To 31 Mar. 2022

  理学研究科SACRA国際戦略部門委員会委員

Academic, Social Contribution

Committee Memberships

• From Mar. 2013, To Apr. 2014

  Head of the selection panel for all NSERC grant applications in mathematics in Canada (evaluation group 1508, NSERC Discovery Grant)
• From Jan. 2011, To Mar. 2013

  NSERC Discovery Grant, Natural Sciences and Engineering Research Council of Canada
• From Oct. 2010, To Jul. 2012

  Romanian Innovation Council
• From Feb. 2012, To Jun. 2012

  Associate professor hiring committee, Université de Franché Comte
• From 2010, To 2011

  Bourses de recherche postdoctorale, Fonds de recherche du Québec - Nature et technologies (FRQNT)

Social Contribution

• Journal of Theoretical Probability (associate editor)

  Edit

  From Dec. 2022, To Present

  
• Probability Theory and Related Fields (associate editor)

  Edit

  Springer, Probability Theory and Related Fields, From Aug. 2022, To Present

  
• IDAQP (associate editor)

  Edit

  World Scientific, Infinite Dimensional Analysis, Quantum Probability and Related Topics, From Jan. 2022, To Present

  
• Kyoto Journal of Mathematics (associate editor)

  Edit

  Duke University Press, Kyoto Journal of Mathematics, From Apr. 2021, To Present

  
• Canadian Journal of Mathematics (associate editor)

  Edit

  Cambridge University Press, Canadian Journal of Mathematics, From Dec. 2019, To Present

  
• Letters in Mathematical Physics (associate editor)

  Edit

  Springer, Letters in Mathematical Physics, From Dec. 2018, To Present

  
• Journal of Mathematical Physics (associate editor)

  Edit

  Journal of Mathematical Physics, Journal of Mathematical Physics, From Aug. 2015, To Present

  
• Scientiae Mathematicae Japonicae (associate editor)

  Edit

  International Society for Mathematical Sciences, Scientiae Mathematicae Japonicae, From Dec. 2014, To Present

  
• Annales Blaise Pascal (associate editor)

  Edit

  Université Clermont Auvergne, Annales Blaise Pascal, From Apr. 2013, To Present

  
• Annales Scientifiques de l’Institut Henri Poincare B (associate editor)

  Edit

  Institute of Mathematical Statistics, Annales Scientifiques de l’Institut Henri Poincare B, From Aug. 2013, To Oct. 2021

  
• PhD, Kyoto: Mr. Junichiro Matsuda

  Consultant

  From Apr. 2021, To Present

  
• PhD, Kyoto: Mr. Akihiro Miyagawa

  Consultant

  From Apr. 2021, To Present

  
• PhD, Kyoto: Mr. Felix Parraud

  Consultant

  From Oct. 2018, To Present

  
• MSc, Kyoto: Mr. Junichiro Matsuda

  Consultant

  From Apr. 2019, To Mar. 2021

  
• MSc, Kyoto: Mr. Akihiro Miyagawa

  Consultant

  From Apr. 2019, To Mar. 2021

  
• PhD, Kyoto: Mr. Mathieu Fevre

  Consultant

  From Apr. 2018, To Mar. 2021

  
• Graduate Internship: Ms. Lamia Lamrani

  Consultant

  From Jun. 2019, To Aug. 2019

  
• 4th-seminar, Kyoto: Mr. Kazuto Zenno

  Consultant

  From Apr. 2018, To Mar. 2019

  
• 4th-seminar, Kyoto: Mr. Ryuta Namise

  Consultant

  From Apr. 2018, To Mar. 2019

  
• 4th-seminar, Kyoto: Mr. Junichiro Matsuda

  Consultant

  From Apr. 2018, To Mar. 2019

  
• 4th-seminar, Kyoto: Mr. Akihiro Miyagawa

  Consultant

  From Apr. 2018, To Mar. 2019

  
• PhD, Kyoto: Ms. Gunjan Sapra

  Consultant

  From Oct. 2015, To Mar. 2019

  
• PhD, Kyoto: Ms. Sushma Kumari

  Consultant

  From Oct. 2015, To Sep. 2018

  
• PhD, uOttawa: Mr. Chadi Hamzo

  Consultant

  From Sep. 2012, To May 2018

  
• M2 (foreign student), Kyoto: Mr. Mathieu Fevre

  Consultant

  From Aug. 2016, To Jul. 2017

  
• MSc, Kyoto: Mr. Katsushi Fujiwara

  Consultant

  From Apr. 2015, To Mar. 2017

  
• MSc, Kyoto: Mr. Yuki Ueda

  Consultant

  From Apr. 2015, To Mar. 2017

  
• PhD, uOttawa: Mr. Timothy Cioppa

  Consultant

  From Jan. 2012, To Jan. 2017

  
• MSc: Mr. Samuel Buteau

  Consultant

  From Sep. 2014, To Aug. 2016

  
• MSc: Mr. Pierre Yves Gaudreau Lamarre

  Consultant

  From Sep. 2013, To Aug. 2015

  
• Undergraduate Internship: Mr. Alexander McDonald

  Consultant

  From Jan. 2015, To Mar. 2015

  
• PhD, uOttawa: Ms. Muneerah Al Nuwairan

  Consultant

  From Sep. 2009, To Jan. 2015

  
• Undergraduate Internship: Mr. Alexander McDonald

  Consultant

  From Jun. 2013, To Aug. 2013

  
• Undergraduate Internship: Mr. Samuel Buteau

  Consultant

  From Apr. 2013, To Jun. 2013

  
• Undergraduate Internship: Mr. Pierre Yves Gaudreau Lamarre

  Consultant

  From Apr. 2013, To Jun. 2013

  
• USRA Internship: Mr. Samuel Buteau

  Consultant

  From Jan. 2013, To Apr. 2013

  
• PhD, uOttawa: Ms. Nadia Saad

  Consultant

  From Jan. 2008, To Dec. 2012

  
• MSc, uOttawa: Mr. Timothy Cioppa

  Consultant

  From Jan. 2010, To Dec. 2011

  
• PhD, uOttawa: Ms. Termeh Kousha

  Consultant

  From Sep. 2007, To Dec. 2011

  
• USRA Internship: Mr. Pierre Yves Gaudreau Lamarre

  Consultant

  From May 2011, To Jun. 2011

  
• Mitacs Globalink fellowship: Mr. Gaurav Sinha

  Consultant

  From May 2010, To Jul. 2010

  
• NSERC USRA: Mr. Timothy Cioppa

  Consultant

  From Apr. 2008, To Jul. 2008

  
• Internship, Lyon 1: Mr. Julien Poisat

  Consultant

  From Apr. 2006, To Jul. 2006