Basic Information

Affiliated programs (koza)

• Graduate School of Science, 数学・数理解析専攻 解析数理講座, 教授

Professional Memberships

• 日本数学会

Academic Degree

• 修士（数理科学）(東京大学)
• 博士（数理科学）(東京大学)
• Ph.D.(Texas A&M University)

Research History

• From Apr. 2013, To Present

  Kyoto University, Research Institute for Mathematical Sciences, Professor
• From Apr. 2011, To Mar. 2013

  Kyoto University, Research Institute for Mathematical Sciences, Associate Professor
• From Apr. 2004, To Mar. 2011

  The University of Tokyo, Graduate School of Mathematical Sciences, Associate Professor
• From Apr. 2000, To Mar. 2004

  The University of Tokyo, Graduate School of Mathematical Sciences, Assistant Professor

Language of Instruction

• English

ID,URL

• J-Global ID

  200901079591022052

• External link

  https://www.kurims.kyoto-u.ac.jp/~narutaka/

Website(s) (URL(s))

• http://www.kurims.kyoto-u.ac.jp/~narutaka/

researchmap URL

• https://researchmap.jp/read0157397

Research

Research Topics, Overview of the research

• Research Topics

  Operator algebra theory and functional analytic aspects of discrete group theory.

• Overview of the research

  Look at my Website.

Research Interests

• 作用素環
• Operator Algebra

Research Areas

• Natural sciences, Basic analysis, Theory of Operator Algebras

Papers

• On characterizations of amenable $$\hbox {C}^*$$-dynamical systems and new examples

  Narutaka Ozawa; Yuhei Suzuki

  Selecta Mathematica, Nov. 2021

  Access this paper :

  
• Full Factors and Co-amenable Inclusions

  Jon Bannon; Amine Marrakchi; Narutaka Ozawa

  Communications in Mathematical Physics, 01 Sep. 2020

  
• Mankiewicz’s theorem and the Mazur–Ulam property for C^∗-algebras

  Michiya Mori; Narutaka Ozawa

  Studia Mathematica, 2020

  
• An entropic proof of cutoff on Ramanujan graphs

  Narutaka Ozawa

  Electronic Communications in Probability, 2020

  
• Aut (F5) has property (T)

  Marek Kaluba; Piotr W. Nowak; Narutaka Ozawa

  Mathematische Annalen, 01 Dec. 2019

  
• Norms of vector functionals

  M. Anoussis; N. Ozawa; I. G. Todorov; Adrian Ioana

  Proceedings of the American Mathematical Society, May 2019, Peer-reviewed

  
• OPERATOR ALGEBRAIC APPROACH TO INVERSE AND STABILITY THEOREMS FOR AMENABLE GROUPS

  Marcus De Chiffre; Narutaka Ozawa; Andreas Thom

  Mathematika, 2019, Peer-reviewed

  
• A functional analysis proof of Gromov's polynomial growth theorem

  Narutaka Ozawa

  Annales Scientifiques de l'Ecole Normale Superieure, May 2018, Peer-reviewed

  
• Finite-dimensional representations constructed from random walks

  Anna Erschler; Narutaka Ozawa

  Commentarii Mathematici Helvetici, 2018, Peer-reviewed

  
• C*-simplicity and the unique trace property for discrete groups

  Emmanuel Breuillard; Mehrdad Kalantar; Matthew Kennedy; Narutaka Ozawa

  Publications Mathematiques de l'Institut des Hautes Etudes Scientifiques, 01 Nov. 2017, Peer-reviewed

  
• Haagerup approximation property via bimodules

  Rui Okayasu; Narutaka Ozawa; Reiji Tomatsu

  Mathematica Scandinavica, 2017, Peer-reviewed

  
• A remark on fullness of some group measure space von Neumann algebras

  Narutaka Ozawa

  Compositio Mathematica, 01 Dec. 2016, Peer-reviewed

  
• A continuum of C∗-norms on B(H)⊗ B(H) and related tensor products

  Narutaka Ozawa; Gilles Pisier

  Glasgow Mathematical Journal, 01 May 2016, Peer-reviewed

  
• Noncommutative real algebraic geometry of kazhdan's property (T)

  Narutaka Ozawa

  Journal of the Institute of Mathematics of Jussieu, 01 Jan. 2016, Peer-reviewed

  Access this paper :

  
• Group approximation in cayley topology and coarse geometry, III: Geometric property (T)

  Masato Mimura; Narutaka Ozawa; Hiroki Sako; Yuhei Suzuki

  Algebraic and Geometric Topology, 22 Apr. 2015, Peer-reviewed

  
• Group approximation in cayley topology and coarse geometry, III: Geometric property (T)

  Masato Mimura; Narutaka Ozawa; Hiroki Sako; Yuhei Suzuki

  Algebraic and Geometric Topology, Apr. 2015, Peer-reviewed

  
• Elementary amenable groups are quasidiagonal

  Narutaka Ozawa; Mikael Rørdam; Yasuhiko Sato

  Geometric and Functional Analysis, Feb. 2015, Peer-reviewed

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• A remark on amenable von Neumann subalgebras in a tracial free product

  Narutaka Ozawa

  Proceedings of the Japan Academy Series A: Mathematical Sciences, 2015, Peer-reviewed

  
• Real positivity and approximate identities in Banach algebras

  David P. Blecher; Narutaka Ozawa

  Pacific Journal of Mathematics, 2015, Peer-reviewed

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• A NONSEPARABLE AMENABLE OPERATOR ALGEBRA WHICH IS NOT ISOMORPHIC to A

  Yemon Choi; Ilijas Farah; Narutaka Ozawa

  Forum of Mathematics, Sigma, 01 Feb. 2014, Peer-reviewed

  
• Free Banach spaces and the approximation properties

  Gilles Godefroy; Narutaka Ozawa

  Proceedings of the American Mathematical Society, 2014, Peer-reviewed

  
• A quantitative version of the commutator theorem for zero trace matrices

  William B. Johnson; Narutaka Ozawa; Gideon Schechtman

  Proceedings of the National Academy of Sciences of the United States of America, 26 Nov. 2013, Peer-reviewed

  
• A remark on contractible banach algebras

  Narutaka Ozawa

  Kyushu Journal of Mathematics, 25 Jul. 2013, Peer-reviewed

  
• Tsirelson's problem and asymptotically commuting unitary matrices

  Narutaka Ozawa

  JOURNAL OF MATHEMATICAL PHYSICS, Mar. 2013, Peer-reviewed

  Access this paper :

  
• About the Connes embedding conjecture Algebraic approaches

  Narutaka Ozawa

  JAPANESE JOURNAL OF MATHEMATICS, Mar. 2013, Peer-reviewed

  Access this paper :

  
• On Ulam stability

  M. Burger; N. Ozawa; A. Thom

  ISRAEL JOURNAL OF MATHEMATICS, Jan. 2013, Peer-reviewed

  
• Dixmier approximation and symmetric amenability for c^*- algebras

  N. Ozawa

  Journal of Mathematical Sciences, the University of Tokyo, 2013, Peer-reviewed

  
• Examples of groups which are not weakly amenable

  Narutaka Ozawa

  Kyoto Journal of Mathematics, Jun. 2012, Peer-reviewed

  
• IS AN IRNG SINGLY GENERATED AS AN IDEAL?

  Nicolas Monod; Narutaka Ozawa; Andreas Thom

  INTERNATIONAL JOURNAL OF ALGEBRA AND COMPUTATION, Jun. 2012, Peer-reviewed

  
• METRIC SPACES WITH SUBEXPONENTIAL ASYMPTOTIC DIMENSION GROWTH

  Narutaka Ozawa

  INTERNATIONAL JOURNAL OF ALGEBRA AND COMPUTATION, Mar. 2012, Peer-reviewed

  
• Quasi-homomorphism rigidity with non-commutative targets

  Narutaka Ozawa

  JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK, Jun. 2011, Peer-reviewed

  
• Weak amenability for groups III

  Narutaka Ozawa

  「作用素環ウィンター・スクール」 (Winter School on Operator Algebras), 2011 年12 月9 日( 金), 2011, Peer-reviewed

  
• On a class of II1 factors with at most one Cartan subalgebra

  Narutaka Ozawa; Sorin Popa

  ANNALS OF MATHEMATICS, Jul. 2010, Peer-reviewed

  
• ON A CLASS OF II1 FACTORS WITH AT MOST ONE CARTAN SUBALGEBRA, II

  Narutaka Ozawa; Sorin Popa

  AMERICAN JOURNAL OF MATHEMATICS, Jun. 2010, Peer-reviewed

  
• The Dixmier problem, lamplighters and Burnside groups

  Nicolas Monod; Narutaka Ozawa

  JOURNAL OF FUNCTIONAL ANALYSIS, Jan. 2010, Peer-reviewed

  
• An example of a solid von Neumann algebra

  Narutaka Ozawa

  HOKKAIDO MATHEMATICAL JOURNAL, Aug. 2009, Peer-reviewed

  
• Weak amenability of hyperbolic groups

  Narutaka Ozawa

  GROUPS GEOMETRY AND DYNAMICS, 2008, Peer-reviewed

  
• C*-algebras and finite-dimensional approximations

  N. P. Brown; N. Ozawa

  Graduate Studies in Mathematics, 88. American Mathematical Society, 2008, 509 pp, 2008, Peer-reviewed

  
• Weakly exact von Neumann algebras

  Narutaka Ozawa

  JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN, Oct. 2007, Peer-reviewed

  
• Boundaries of reduced free group C*-algebras

  Narutaka Ozawa

  BULLETIN OF THE LONDON MATHEMATICAL SOCIETY, Feb. 2007, Peer-reviewed

  
• Boundary amenability of relatively hyperbolic groups

  Narutaka Ozawa

  TOPOLOGY AND ITS APPLICATIONS, Aug. 2006, Peer-reviewed

  
• Amenable actions and applications

  N. Ozawa

  International Congress of Mathematicians, ICM 2006, 2006, Peer-reviewed

  
• A Kurosh-type theorem for type II1 factors

  Narutaka Ozawa

  International Mathematics Research Notices, 2006, Peer-reviewed

  
• A Kurosh-type theorem for type II1 factors

  Narutaka Ozawa

  INTERNATIONAL MATHEMATICS RESEARCH NOTICES, 2006, Peer-reviewed

  
• Hyperbolic group C*-algebras and free-product C*-algebras as compact quantum metric spaces

  N Ozawa; MA Rieffel

  CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES, Oct. 2005, Peer-reviewed

  
• Weakly Exact von Neumann Algebras

  Narutaka Ozawa

  22 Nov. 2004

  
• About the QWEP conjecture

  Narutaka Ozawa

  International Journal of Mathematics, Jul. 2004, Peer-reviewed

  
• Some prime factorization results for type II1 factors

  N Ozawa; S Popa

  INVENTIONES MATHEMATICAE, May 2004, Peer-reviewed

  
• A Kurosh type theorem for type II_1 factors

  Narutaka Ozawa

  Int. Math. Res. Not., Volume 2006, Article ID97560, 13 Jan. 2004

  
• A note on non-amenability of B(\ell_p) for p=1,2

  Narutaka Ozawa

  13 Jan. 2004

  
• A note on non-amenability of B(l(p)) for p=1, 2

  N Ozawa

  INTERNATIONAL JOURNAL OF MATHEMATICS, Aug. 2004, Peer-reviewed

  
• Solid von Neumann algebras

  Narutaka Ozawa

  Acta Mathematica, 2004, Peer-reviewed

  
• There is no separable universal II1-factor

  N Ozawa

  PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2004

  
• Homogeneity of the pure state space of a separable C*-algebra

  A Kishimoto; N Ozawa; S Sakai

  CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES, Sep. 2003, Peer-reviewed

  
• About the QWEP conjecture

  Narutaka Ozawa

  04 Jun. 2003

  
• On OL infinity structures of nuclear C*-algebras

  M Junge; N Ozawa; ZJ Ruan

  MATHEMATISCHE ANNALEN, Mar. 2003, Peer-reviewed

  
• An application of expanders to B(l(2))circle times B(l2)

  N Ozawa

  JOURNAL OF FUNCTIONAL ANALYSIS, Mar. 2003, Peer-reviewed

  
• Solid von Neumann Algebras

  Narutaka Ozawa

  11 Feb. 2003

  
• Homotopy invariance of AF-embeddability

  Narutaka Ozawa

  Geometric and Functional Analysis, 2003, Peer-reviewed

  
• There is no separable universal II_1-factor

  Narutaka Ozawa

  27 Oct. 2002

  
• A characterization of completely 1-complemented subspaces of noncommutative L-1-spaces

  PW Ng; N Ozawa

  PACIFIC JOURNAL OF MATHEMATICS, Jul. 2002, Peer-reviewed

  
• A characterization of completely 1-complemented subspaces of noncommutative L-1-spaces

  PW Ng; N Ozawa

  PACIFIC JOURNAL OF MATHEMATICS, Jul. 2002

  
• Homotopy invariance of AF-embeddability

  N Ozawa

  GEOMETRIC AND FUNCTIONAL ANALYSIS, 2003

  
• On injectivity and nuclearity for operator spaces

  EG Effros; N Ozawa; ZJ Ruan

  DUKE MATHEMATICAL JOURNAL, Dec. 2001, Peer-reviewed

  
• A non-extendable bounded linear map between C-algebras

  N. Ozawa

  Proceedings of the Edinburgh Mathematical Society, 01 Dec. 2001

  
• Almost completely isometric embeddings between preduals of von Neumann algebras

  N Ozawa

  JOURNAL OF FUNCTIONAL ANALYSIS, Nov. 2001, Peer-reviewed

  
• An Application of Expanders to $B(H) \otimes B(H)$

  Narutaka Ozawa

  15 Oct. 2001

  
• On the set of finite-dimensional subspaces of preduals of von Neumann algebras

  N Ozawa

  COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE, Aug. 2000

  
• Amenable actions and exactness for discrete groups

  Narutaka Ozawa

  Comptes Rendus de l'Academie des Sciences - Series I: Mathematics, 15 Apr. 2000, Peer-reviewed

  
• Amenable actions and exactness for discrete groups

  N Ozawa

  COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE, Apr. 2000

  
• On the set of finite-dimensional subspaces of preduals of von Neumann algebras

  N. Ozawa

  Comptes Rendus de l\\'Academie des Sciences - Series I: Mathematics, 2000, Peer-reviewed

  

Misc.

• フィールズ賞で語る現代数学(第20回)関数解析

  小澤 登高

  数理科学, Oct. 2017

  
• Survey on weak amenability for groups

  Narutaka Ozawa

  Conference on von Neumann Algebras and Related Topics, 2012, Peer-reviewed

  
• Survey on weak amenability

  Narutaka Ozawa

  国際研究集会「C ゛環および関連する話題」(Conference on C*-Algebras and Related Topics)、2011 年9 月8 日( 木), 2011, Peer-reviewed

  

Presentations

• Kazhdan’s property (T) and semidefinite programming

  小沢登高

  Colloquim, Princeton University, Feb. 2021

  
• An entropic proof of cutoff on Ramanujan graphs

  小沢登高

  Wales MPPM Seminar, Oct. 2020

  
• Full factors and co-amenable inclusions

  OZAWA Narutaka

  C*-Algebras, Aug. 2019, Invited

  
• Kazhdan's property (T) and semidefinite programming

  OZAWA Narutaka

  Conference: SYM 10 Years Old, Jun. 2019, Invited

  
• Finite-dimensional representations constructed from random walks

  OZAWA Narutaka

  2018 Spring Probability Workshop, Jun. 2018, Invited

  
• Aut(F_5) has Kazhdan's property (T)

  OZAWA Narutaka

  Approximation Properties in Operator Algebras and Ergodic Theory, Apr. 2018, Invited

  
• Minicourse on Connes's Embedding Problem and its equivalent

  OZAWA Narutaka

  Analysis in Quantum Information Theory, Sep. 2017, Invited

  
• A remark on fullness of some group measure space von Neumann algebras

  OZAWA Narutaka

  Workshop Classification and dynamical systems II: Von Neumann Algebras, Apr. 2016

  
• A functional analysis proof of Gromov's polynomial growth theorem

  OZAWA Narutaka

  Nordic Congress of Mathematics, Mar. 2016, Invited

  
• A continuum of C*-norms on B(H) \otimes B(H) and related tensor products

  OZAWA Narutaka

  Workshop Classification and set theory, Mar. 2016, Invited

  
• The Furstenberg boundary and C*-simplicity

  OZAWA Narutaka

  NCGOA, Vanderbilt University,, May 2015, Invited

  
• Noncommutative real algebraic geometry of Kazhdan's property (T)

  OZAWA Narutaka

  Arithmetic and allied subjects on the banks of the Neva, Nov. 2014, Invited

  
• Elementary amenable groups are quasidiagonal

  OZAWA Narutaka

  Operator Algebras and Applications (ICM Satellite Conference), Cheongpung, Aug. 2014, Invited

  
• Approximation Properties for Group C*-Algebras

  OZAWA Narutaka

  Banach and Operator Algebras over Groups, Fields Institute, Feb. 2014, Invited

  

Books and Other Publications

• $\textrm{C}^*$-Algebras and Finite-Dimensional Approximations (Graduate Studies in Mathematics)

  Nathanial P. Brown; Narutaka Ozawa

  American Mathematical Society, 12 Mar. 2008, Not refereed

  Find Kyoto University's collection of books :

  

Awards

• 2008

  operator algebra prize
• Mar. 2009

  Mathematical Society of Japan, Spring Prize
• 2009

  Japan Society for the Promotion of Science, JSPS prize

External funds: Kakenhi

• Analytic group properties that are von Neumann equivalence invariant

  Grant-in-Aid for JSPS Fellows

  Basic Section 12010:Basic analysis-related

  Kyoto University

  From 18 Nov. 2021, To 31 Mar. 2024, Granted

  函数解析;離散群論;フォンノイマン同値

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-21F21737/
• Theory of operator algebras and functional analytic group theory

  Grant-in-Aid for Scientific Research (B)

  Basic Section 12010:Basic analysis-related

  Kyoto University

  Narutaka Ozawa

  From 01 Apr. 2020, To 31 Mar. 2024, Project Closed

  解析的群論;離散群;作用素環論;関数解析;関数解析的群論;Kazhdanの性質;群論;ランダムウォーク;函数解析;離散群論;Banach空間論

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-20H01806/
• 幾何学的群論における新しい指導的理論の確立

  Grant-in-Aid for Scientific Research (A)

  Medium-sized Section 11:Algebra, geometry, and related fields

  Kyoto University

  藤原 耕二

  From 01 Apr. 2020, To 31 Mar. 2025, Granted

  幾何学的群論;作用素環論;リーマン幾何;距離幾何;双曲群;作用素環;増大度;相対双曲群;ファレル・ジョーンズ予想;写像類群;アレクサンドロフ空間;漸近次元;双曲幾何

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-20H00114/
• Noncommutative Analysis and Functional Analytic Group Theory

  Grant-in-Aid for Scientific Research (C)

  Kyoto University

  Narutaka Ozawa

  From 01 Apr. 2017, To 31 Mar. 2022, Project Closed

  函数解析;解析的群論;作用素環論;関数解析;群論;ランダムウォーク;Banach空間論;関数解析的群論;半正定値問題

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-17K05277/
• Progress in Geometric group theory

  Grant-in-Aid for Scientific Research (S)

  Kyoto University

  Koji Fujiwara

  From 29 May 2015, To 31 Mar. 2020, Project Closed

  写像類群;擬ツリー;カズダンの性質T;射影複体;自由群の自己同型群;双曲群;指数増大度;漸近次元;C*環;フォンノイマン環;幾何学的群論;負曲率多様体;作用素環;離散群;測度集中;従順群;property T;作用素環論;距離幾何;リーマン幾何;property (T);C*-algebra;metric measure geometry;collapsing;増大度;リーマン幾何学;群環;双曲幾何;自由群の外部自己同型群;擬準同型;外部自己同型

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-15H05739/
• Noncommutative Analysis and Functional Analytic Group Theory

  Grant-in-Aid for Scientific Research (C)

  Kyoto University

  Narutaka Ozawa

  From 01 Apr. 2014, To 31 Mar. 2017, Project Closed

  作用素環;離散群;フォンノイマン環;ランダムウォーク;解析的群論;作用素環論;因子環;C*環;von Neumann環

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-26400114/
• Noncommutative Analytic Approach for Discrete Group Theory

  Grant-in-Aid for Scientific Research (C)

  Kyoto University

  Narutaka OZAWA

  From 01 Apr. 2011, To 31 Mar. 2014, Project Closed

  作用素環;関数解析;離散群論;作用素環論

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-23540233/
• A new development of operator algebras and mathematical physics

  Grant-in-Aid for Scientific Research (A)

  The University of Tokyo

  Yasuyuki Kawahigashi

  From 01 Apr. 2011, To 31 Mar. 2016, Project Closed

  作用素環;共形場理論;部分因子環;頂点作用素代数;数理物理学;超対称性;モジュラーテンソル圏;境界共形場理論;トポロジカル相;作用素環論;部分因子環論;正規状態;国際研究者交流，イタリア

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-23244016/
• Geometric group theory and metric embedding

  Grant-in-Aid for Scientific Research (A)

  Kyoto University;Tohoku University

  Koji Fujiwara

  From 01 Apr. 2011, To 31 Mar. 2016, Project Closed

  幾何学的群論;双曲群;写像類群;作用素環論;アレクサンドロフ空間;擬準同型;区間交換写像;幾何学;離散群論;測度集中;simplicial volume;hyperbolic manifold;random groups;cat (0) cube complex;Alexandrov spaces;quasi-homomorphisms;p-harmonic map

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-23244005/
• A csomprehensive study of symmetries of operator algebras

  Grant-in-Aid for Scientific Research (B)

  Kyoto University

  Masaki IZUMI

  From 01 Apr. 2010, To 31 Mar. 2015, Project Closed

  函数解析;作用素環;群作用;国際研究者交流;K理論;作用素環論;郡作用;部分因子環;C*-環;K-理論;テンソル圏

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-22340032/
• A two-way study of operator algebras and discrete groups

  Grant-in-Aid for Young Scientists (A)

  The University of Tokyo;Kyoto University

  Narutaka OZAWA

  From 01 Apr. 2008, To 31 Mar. 2011, Project Closed

  作用素環;離散群;関数解析;関数解析学;作用素環論;離散群論;幾何学

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-20684004/
• Synthetic Studies on Operator Algebras and Mathematical Physics

  Grant-in-Aid for Scientific Research (A)

  The University of Tokyo

  Yasuyuki KAWAHIGASHI

  From 01 Apr. 2007, To 31 Mar. 2011, Project Closed

  作用素環;数理物理学;場の量子論;力学系;フォンノイマン環;部分因子環;自由確率論;作用素不等式;共形場理論;統計力学;非可換幾何学;群作用;頂点作用素代数;エルゴード理論

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-19204015/
• 作用素空間論の、C^*環およびフォンノイマン環の分類問題への応用

  Grant-in-Aid for Young Scientists (B)

  The University of Tokyo

  小沢 登高

  From 01 Apr. 2004, To 31 Mar. 2007, Project Closed

  双曲群;群フォンノイマン環;既約群C*環;作用素環;幾何学的群論;作用環境

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-16740089/
• Operator algebras and mathematical physics

  Grant-in-Aid for Scientific Research (B)

  University of Tokyo

  Yasuyuki KAWAHIGASHI

  From 01 Apr. 2004, To 31 Mar. 2007, Project Closed

  作用素環;数理物理学;場の量子論;力学系;フォンノイマン環;部分因子環;自由確率論;作用素不等式;共形場理論;頂点作用素代数;離散群;作用素論;量子群;群作用;従順性;作用素空間;量子不変量, operator algebra;mathematical physics;quantum field theory;dynamical systems;von Neumann algebras;subfactor;free probability;operator inequality

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-16340045/
• 作用素空間の局所的性質の研究とその応用

  Grant-in-Aid for Young Scientists (B)

  The University of Tokyo

  小沢 登高

  From 01 Apr. 2001, To 31 Mar. 2003, Project Closed

  作用素環;作用素空間

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-13740111/
• Analytic group properties that are von Neumann equivalence invariant

  Grant-in-Aid for JSPS Fellows

  Basic Section 12010:Basic analysis-related

  Kyoto University

  小沢 登高

  From 08 Mar. 2023, To 31 Mar. 2024, Project Closed

  フォンノイマン同値;擬エルミート性;関数解析;離散群;函数解析;離散群論

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-22KF0182/
• Developments of operator algebra theory and functional analytic group theory

  Grant-in-Aid for Scientific Research (B)

  Basic Section 12010:Basic analysis-related

  Kyoto University

  小沢 登高

  From 01 Apr. 2024, To 31 Mar. 2029, Granted

  作用素環論;解析的群論;関数解析

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-24K00527/
• New Developments in Random Matrix Theory: Perspectives from Free Probability Theory, Non-commutative Analysis, and PDEs

  Grant-in-Aid for Scientific Research (A)

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

  Kyoto University

  COLLINS Benoit

  From 01 Apr. 2025, To 31 Mar. 2030, Granted

  ランダム行列論;自由確率論;Singluar SPDE

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-25H00593/
• 離散群に潜む新しい構造の発見と解明

  Grant-in-Aid for Scientific Research (A)

  Medium-sized Section 11:Algebra, geometry, and related fields

  Kyoto University

  藤原 耕二

  From 01 Apr. 2025, To 31 Mar. 2029, Granted

  離散群;幾何群論;作用素環;距離幾何;低次元トポロジー

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-25H00588/

Education

Teaching subject(s)

• From 01 Apr. 2025, To 31 Mar. 2026

  Invitation to Modern Mathematics and Mathematical Sciences

  N114, Spring, Institute for Liberal Arts and Sciences, 2
• From 01 Apr. 2025, To 31 Mar. 2026

  Forefront of Mathematics and Mathematical Science I

  4138, Spring, Faculty of Science, 2
• From 01 Apr. 2025, To 31 Mar. 2026

  Seminar on Operator Algebras d

  1318, Fall, Graduate School of Science, 3
• From 01 Apr. 2025, To 31 Mar. 2026

  Seminar on Operator Algebras c

  1317, Spring, Graduate School of Science, 3
• From 01 Apr. 2025, To 31 Mar. 2026

  Seminar on Operator Algebras b

  1316, Fall, Graduate School of Science, 3
• From 01 Apr. 2025, To 31 Mar. 2026

  Seminar on Operator Algebras a

  1315, Spring, Graduate School of Science, 3
• From 01 Apr. 2024, To 31 Mar. 2025

  Invitation to Modern Mathematics and Mathematical Sciences

  N114, Spring, Institute for Liberal Arts and Sciences, 2
• From 01 Apr. 2024, To 31 Mar. 2025

  Special study course (Mathematical Science)

  5140, Year-long, Faculty of Science, 12
• 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

  Seminar on Operator Algebras d

  1318, Fall, Graduate School of Science, 3
• From 01 Apr. 2024, To 31 Mar. 2025

  Seminar on Operator Algebras c

  1317, Spring, Graduate School of Science, 3
• From 01 Apr. 2024, To 31 Mar. 2025

  Seminar on Operator Algebras b

  1316, Fall, Graduate School of Science, 3
• From 01 Apr. 2024, To 31 Mar. 2025

  Seminar on Operator Algebras a

  1315, Spring, Graduate School of Science, 3
• From 01 Apr. 2023, To 31 Mar. 2024

  Invitation to Modern Mathematics and Mathematical Sciences

  N114, Spring, Institute for Liberal Arts and Sciences, 2
• From 01 Apr. 2023, To 31 Mar. 2024

  Seminar on Operator Algebras c

  1317, Spring, Graduate School of Science, 3
• From 01 Apr. 2023, To 31 Mar. 2024

  Seminar on Operator Algebras b

  1316, Fall, Graduate School of Science, 3
• From 01 Apr. 2023, To 31 Mar. 2024

  Seminar on Operator Algebras a

  1315, Spring, Graduate School of Science, 3
• From 01 Apr. 2023, To 31 Mar. 2024

  Seminar on Operator Algebras d

  1318, Fall, Graduate School of Science, 3
• From 01 Apr. 2023, To 31 Mar. 2024

  Forefront of Mathematics and Mathematical Science I

  4138, Spring, Faculty of Science, 2
• From 01 Apr. 2022, To 31 Mar. 2023

  Forefront of Mathematics and Mathematical Science I

  4138, Spring, Faculty of Science, 2
• From 01 Apr. 2022, To 31 Mar. 2023

  Seminar on Operator Algebras c

  1317, Spring, Graduate School of Science, 3
• From 01 Apr. 2022, To 31 Mar. 2023

  Seminar on Operator Algebras b

  1316, Fall, Graduate School of Science, 3
• From 01 Apr. 2022, To 31 Mar. 2023

  Seminar on Operator Algebras d

  1318, Fall, Graduate School of Science, 3
• From 01 Apr. 2022, To 31 Mar. 2023

  Seminar on Operator Algebras a

  1315, Spring, Graduate School of Science, 3
• From 01 Apr. 2022, To 31 Mar. 2023

  Invitation to Modern Mathematics and Mathematical Sciences

  N114, Spring, Institute for Liberal Arts and Sciences, 2
• From 01 Apr. 2022, To 31 Mar. 2023

  Special study course (Mathematical Science)

  5140, Year-long, Faculty of Science, 12
• From Apr. 2017, To Mar. 2018

  Seminar on Operator Algebras A

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

  Seminar on Operator Algebras B

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

  Seminar on Operator Algebras C

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

  Seminar on Operator Algebras D

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

  Invitation to Modern Mathematics and Mathematical Sciences

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

  Advanced Analysis I

  Spring, 理学部
• From Apr. 2017, To Mar. 2018

  Topics in Analysis C

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

  Seminar on Operator Algebras a

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

  Seminar on Operator Algebras b

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

  Seminar on Operator Algebras c

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

  Seminar on Operator Algebras d

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

  Invitation to Modern Mathematics and Mathematical Sciences

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

  Seminar on Operator Algebras a

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

  Seminar on Operator Algebras b

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

  Seminar on Operator Algebras c

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

  Seminar on Operator Algebras d

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

  Mathematics seminary

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

  Invitation to Modern Mathematics and Mathematical Sciences

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

  Seminar on Operator Algebras a

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

  Seminar on Operator Algebras b

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

  Seminar on Operator Algebras c

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

  Seminar on Operator Algebras d

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

  Invitation to Modern Mathematics and Mathematical Sciences - Basic concepts and their role in various sciences

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

  Seminar on Operator Algebras a

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

  Seminar on Operator Algebras b

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

  Seminar on Operator Algebras c

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

  Seminar on Operator Algebras d

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

  Forefront of Mathematics and Mathematical Science II

  Fall, 理学部
• From Apr. 2021, To Mar. 2022

  Invitation to Modern Mathematics and Mathematical Sciences - Basic concepts and their role in various sciences

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

  Advanced Analysis I

  Fall, 理学部
• From Apr. 2021, To Mar. 2022

  Topics in Analysis C

  Fall, 理学研究科

Participation in PhD Defense

• Simplicity of crossed products of the actions of totally disconnected locally compact groups on their boundaries

  ARIMOTO RYOYA, Graduate School of Science, Chief Examiner

  24 Mar. 2025

Administration

School management (title, position)

• From 01 Apr. 2025, To 31 Mar. 2027

  スーパーグローバルコース実施運営委員会 委員
• From 01 Apr. 2024, To 31 Mar. 2025

  京都大学スーパーグローバルコース実施運営協議会 委員
• From 01 Apr. 2023

  京都大学スーパーグローバルコース実施運営協議会企画運営幹事会 委員
• From 01 Apr. 2023, To 31 Mar. 2025

  京都大学学際融合教育研究推進センタースーパーグローバルコース実施運営協議会委員

Faculty management (title, position)

• From 01 Apr. 2022, To 31 Mar. 2023

  理学研究科数学・数理解析専攻数理解析系主任（第２代理）
• From 01 Apr. 2024

  自己点検・評価委員会　委員長
• From 01 Apr. 2014

  自己点検・評価委員会　委員
• From 01 Apr. 2016, To 31 Mar. 2017

  京都大学大学入試センター試験実施委員会　委員
• From 01 Apr. 2020, To 31 Mar. 2021

  数理解析研究所　副所長
• From 01 Apr. 2020, To 31 Mar. 2021

  予算委員会 委員長
• From 01 Apr. 2021, To 31 Mar. 2022

  男女共同参画WG委員
• From 01 Apr. 2020, To 31 Mar. 2021

  建物・施設整備委員会 委員長