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Izumi, Masaki

Graduate School of Science, Division of Mathematics and Mathematical Sciences Professor

Izumi, Masaki
list
    Last Updated :2025/05/02

    Basic Information

    Faculty

    • 理学部

    Professional Memberships

    • 日本数学会

    Academic Degree

    • 理学修士(京都大学)
    • 博士（理学）(京都大学)

    Academic Resume (Graduate Schools)

    • 京都大学, 大学院理学研究科修士課程数理解析専攻, 修了

    Academic Resume (Undergraduate School/Majors)

    • 京都大学, 理学部, 卒業

    Language of Instruction

    • English

    ID,URL

    researchmap URL

    list
      Last Updated :2025/05/02

      Research

      Research Topics, Overview of the research

      • Research Topics

        operator algebras

      • Overview of the research

        I'm studying operator algebras

      Research Interests

      • operator algebras

      Research Areas

      • Natural sciences, Mathematical analysis

      Papers

      • Group-subgroup subfactors revisited
        Masaki Izumi
        Quantum Topology, 08 Apr. 2024, Peer-reviewed, Invited
      • Classification of $\mathbb{Z}/2\mathbb{Z}$-quadratic unitary fusion categories (with an appendix by Ryan Johnson, Siu-Hung Ng, David Penneys, Jolie Roat, Matthew Titsworth, and Henry Tucker)
        Cain Edie-Michell; Masaki Izumi; David Penneys
        Quantum Topology, 07 Feb. 2024, Peer-reviewed
      • Graded extensions of generalized Haagerup categories
        Pinhas Grossman; Masaki Izumi; Noah Snyder
        Pure and Applied Mathematics Quarterly, 2023, Peer-reviewed
      • Quasicentral Modulus and Self-similar Sets: A Supplementary Result to Voiculescu’s Work
        Kozo Ikeda; Masaki Izumi
        Integral Equations and Operator Theory, 24 Apr. 2023, Peer-reviewed
      • Drinfeld centers of fusion categories arising from generalized Haagerup subfactors
        Pinhas Grossman; Masaki Izumi
        Quantum Topology, 26 Jan. 2023, Peer-reviewed
        Access this paper :
      • Algebraic realization of noncommutative near-group fusion categories
        Masaki Izumi; Henry Tucker
        Algebra & Number Theory, 30 Jun. 2021, Peer-reviewed
      • Poly-Z group actions on Kirchberg algebras II
        Masaki Izumi; Hiroki Matui
        Inventiones mathematicae, Jun. 2021, Invited
      • Infinite Families of Potential Modular Data Related to Quadratic Categories
        Pinhas Grossman; Masaki Izumi
        Communications in Mathematical Physics, Dec. 2020, Peer-reviewed
      • A weak homotopy equivalence type result related to Kirchberg algebras
        Masaki Izumi; Hiroki Matui
        Journal of Noncommutative Geometry, 30 Nov. 2020, Peer-reviewed
      • Poly-Z Group Actions on Kirchberg Algebras I
        Masaki Izumi; Hiroki Matui
        International Mathematics Research Notices, 07 Aug. 2019, Peer-reviewed
      • The group structure of the homotopy set whose target is the automorphism group of the Cuntz algebra
        Masaki Izumi; Taro Sogabe
        International Journal of Mathematics, 2019, Peer-reviewed
      • The K-theory of the flip automorphisms.
        Masaki Izumi
        Advanced Studies in Pure Mathematics, 2019, Peer-reviewed, Lead author
      • The Flow of Weights and the Cuntz–Pimsner Algebras
        Masaki Izumi
        Communications in Mathematical Physics, 01 Jan. 2018, Peer-reviewed, Invited
      • The Asaeda-Haagerup fusion categories
        Pinhas Grossman; Masaki Izumi; Noah Snyder
        Journal für die Reine und Angewandte Mathematik, 2018, Peer-reviewed
      • The Classification of 3^n subfactors and related fusion categories
        IZUMI Masaki
        Quantum Topology, 2018, Peer-reviewed
      • A Cuntz algebra approach to the classification of near-group categories
        IZUMI Masaki
        Proceedings of the Centre for Mathematics and its Applications, Australian National University., 2017, Peer-reviewed
      • Quotients of A(2) * T-2
        Masaki Izumi; Scott Morrison; David Penneys
        CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES, Oct. 2016, Peer-reviewed
      • Indecomposable characters of infinite dimensional groups associated with operator algebras
        Takumi Enomoto; Masaki Izumi
        JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN, Jul. 2016, Peer-reviewed
      • REMARKS ON FREE MUTUAL INFORMATION AND ORBITAL FREE ENTROPY
        Masaki Izumi; Yoshimichi Ueda
        NAGOYA MATHEMATICAL JOURNAL, Dec. 2015, Peer-reviewed
      • Subfactors of index exactly 5
        Masaki Izumi; Scott Morrison; David Penneys; Emily Peters; Noah Snyder
        BULLETIN OF THE LONDON MATHEMATICAL SOCIETY, Apr. 2015, Peer-reviewed
      • ON EXTENDABILITY OF ENDOMORPHISMS AND OF E-0-SEMIGROUPS ON FACTORS
        Panchugopal Bikram; Masaki Izumi; R. Srinivasan; V. S. Sunder
        KYUSHU JOURNAL OF MATHEMATICS, Mar. 2014, Peer-reviewed
      • Subfactors of Index Less Than 5, Part 3: Quadruple Points
        Masaki Izumi; Vaughan F. R. Jones; Scott Morrison; Noah Snyder
        COMMUNICATIONS IN MATHEMATICAL PHYSICS, Dec. 2012, Peer-reviewed
      • E0-semigroups: Around and beyond Arveson\\'s work
        M. Izumi
        Journal of Operator Theory, 2012, Invited
      • QUASI-FREE ACTIONS OF FINITE GROUPS ON THE CUNTZ ALGEBRA O-infinity
        Pavle Goldstein; Masaki Izumi
        TOHOKU MATHEMATICAL JOURNAL, Dec. 2011, Peer-reviewed
      • Z^2-actions on Kirchberg algebras
        Masaki Izumi; Hiroki Matui
        ADVANCES IN MATHEMATICS, Jun. 2010, Peer-reviewed
      • Toeplitz CAR flows and type i factorizations
        Masaki Izumi; R. Srinivasan
        Kyoto Journal of Mathematics, 2010, Peer-reviewed
      • EVERY SUM SYSTEM IS DIVISIBLE
        Masaki Izumi
        TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, Aug. 2009, Peer-reviewed
      • Generalized CCR flows
        Masaki Izumi; R. Srinivasan
        COMMUNICATIONS IN MATHEMATICAL PHYSICS, Jul. 2008, Peer-reviewed
      • Classification of noncommuting quadrilaterals of factors
        Pinhas Grossman; Masaki Izumi
        INTERNATIONAL JOURNAL OF MATHEMATICS, May 2008, Peer-reviewed
      • The ratio set of the harmonic measure of a random walk on a hyperbolic group
        Masaki Izumi; Sergey Neshveyev; Rui Okayasu
        ISRAEL JOURNAL OF MATHEMATICS, Jan. 2008, Peer-reviewed
      • KMS states and branched points
        Masaki Izumi; Tsuyoshi Kajiwara; Yasuo Watatani
        ERGODIC THEORY AND DYNAMICAL SYSTEMS, Dec. 2007, Peer-reviewed
      • Perturbation problem for the shift semigroup
        Masaki Izumi
        JOURNAL OF FUNCTIONAL ANALYSIS, Oct. 2007, Peer-reviewed
      • Poisson boundary of the dual of SUq(n)
        M Izumi; S Neshveyev; L Tuset
        COMMUNICATIONS IN MATHEMATICAL PHYSICS, Mar. 2006, Peer-reviewed
      • Finite group actions on C*-algebras with the Rohlin property - II
        M Izumi
        ADVANCES IN MATHEMATICS, May 2004, Peer-reviewed
      • Finite group actions on C*-algebras with the Rohlin property, I
        M Izumi
        DUKE MATHEMATICAL JOURNAL, Apr. 2004, Peer-reviewed
      • Canonical extension of endomorphisms of type III factors
        M Izumi
        AMERICAN JOURNAL OF MATHEMATICS, Feb. 2003, Peer-reviewed
      • Kac algebras arising from composition of subfactors: General theory and classification
        M Izumi; H Kosaki
        MEMOIRS OF THE AMERICAN MATHEMATICAL SOCIETY, Jul. 2002, Peer-reviewed
      • Non-commutative Poisson boundaries and compact quantum group actions
        M Izumi
        ADVANCES IN MATHEMATICS, Jul. 2002, Peer-reviewed
      • On a subfactor analogue of the second cohomology
        M Izumi; H Kosaki
        REVIEWS IN MATHEMATICAL PHYSICS, Jul. 2002, Peer-reviewed
      • Inclusions of simple C*-algebras
        M Izumi
        JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK, Jun. 2002, Peer-reviewed
      • Characterization of isomorphic group-subgroup subfactors
        M Izumi
        INTERNATIONAL MATHEMATICS RESEARCH NOTICES, 2002, Peer-reviewed
      • The structure of sectors associated with Longo-Rehren inclusions II. Examples
        M Izumi
        REVIEWS IN MATHEMATICAL PHYSICS, May 2001, Peer-reviewed
      • The structure of sectors associated with Longo-Rehren inclusions - I. General theory
        M Izumi
        COMMUNICATIONS IN MATHEMATICAL PHYSICS, Sep. 2000, Peer-reviewed
      • Amenability and strong amenability for fusion algebras with applications to subfactor theory
        F Hiai; M Izumi
        INTERNATIONAL JOURNAL OF MATHEMATICS, Sep. 1998, Peer-reviewed
      • A Galois correspondence for compact groups of automorphisms of vonNeumann algebras with a generalization to Kac algebras
        M Izumi; R Longo; S Popa
        JOURNAL OF FUNCTIONAL ANALYSIS, May 1998, Peer-reviewed
      • Subalgebras of infinite C*-algebras with finite Watatani indices, II: Cuntz-Krieger algebras
        M Izumi
        DUKE MATHEMATICAL JOURNAL, Feb. 1998, Peer-reviewed
      • Finite-Dimensional Kac Algebras Arising from Certain Group Actions on a Factor
        M. Izumi; H. Kosaki
        International Mathematics Research Notices, 1996, Peer-reviewed
      • SUBALGEBRAS OF INFINITE C-ASTERISK-ALGEBRAS WITH FINITE WATATANI INDEXES .1. CUNTZ ALGEBRAS
        M IZUMI
        COMMUNICATIONS IN MATHEMATICAL PHYSICS, Jul. 1993, Peer-reviewed
      • CLASSIFICATION OF SUBFACTORS WITH THE PRINCIPAL GRAPH-D(N)(1)
        M IZUMI; Y KAWAHIGASHI
        JOURNAL OF FUNCTIONAL ANALYSIS, Mar. 1993, Peer-reviewed

      Misc.

      • 行列とグラフ (特集 行列--その物理と数学における役割)
        泉 正己
        数理科学, May 1997
      • QUASI-FREE FINITE GROUP ACTIONS ON THE CUNTZ ALGEBRA $\mathcal{O}_\infty$ (New development of Operator Algebras)
        Izumi Masaki
        RIMS Kokyuroku, Apr. 2008
      • Index Theory and Longo's Method
        Izumi Masaki
        RIMS Kokyuroku, May 1991
        Access this misc :
      • GALOIS CORRESPONDENCE OF COMPACT GROUP ACTIONS(Recent Developments in Operator Algebras)
        IZUMI MASAKI
        RIMS Kokyuroku, Feb. 1997
        Access this misc :
      • CLASSIFICATION OF FINITE GROUP ACTIONS ON CLASSIFIABLE $C^*$-ALGEBRAS (ANALYSIS OF (QUANTUM) GROUP ACTIONS ON OPERATOR ALGEBRAS)
        Izumi Masaki
        RIMS Kokyuroku, Jul. 2003
        Access this misc :

      Presentations

      • G-kernels of Kirchberg algebras
        Masaki Izumi
        Twinned Conference on C*-Algebras and Tensor Categories, Edinburgh, 10 Nov. 2023, Invited
      • Several infinite families of potential modular data
        Masaki Izumi
        Operator Algebras and Mathematical Physics, University of Tokyo, Japan., 25 Jul. 2023, Invited
      • Several infinite families of potential modular data
        Masaki Izumi
        Where mathematics meets quantum physics, Rome, 22 Jun. 2023, Invited
      • Perturbation theory of commuting self-adjoint operators
        Masaki Izumi
        Pure math seminar, University of New Sounth Wales, 21 Feb. 2023, Invited
      • G-kernels of C*-algebras
        Masaki Izumi
        Operator alggebras: Subfactors, K-theory, Conformal field theory, 28 Jul. 2022, Invited
      • Group actions on C*-algebras and homotopy fixed points
        Masaki Izumi
        Automorphisms and invariants of operator algebras, 18 Oct. 2021, Invited
      • The classification of poly-Z group actions on the Kirchberg algebras
        Masaki Izumi
        Special Week on Operator Algebras, 11 Aug. 2020, Invited
      • A topological approach to the classification of discrete amenable group actions on nuclear C*-algebras.
        Masaki Izumi
        Workshop Operator Algebras and Applications, 17 Jun. 2019, Invited
      • Five infinite families of potential modular data related to quadratic categories
        IZUMI Masaki
        Fusion Categories and Subfactors, 17 Oct. 2018
      • The flow of weights and the Cuntz-Pimsner algebras
        IZUMI Masaki
        Approximation Properties in Operator Algebras and Ergodic Theory, 05 May 2018
      • Group actions on C*-algebras and obstruction theory
        IZUMI Masaki
        Operator algebras: subfactors and their applications, 20 Jun. 2017
      • Indecomposable characters of infinite dimensional groups associated with operator algebras
        IZUMI Masaki
        Operator algebras: subfactors and their applications, 14 Feb. 2017, Invited
      • An operator algebra approach to the classification of certain fusion categories I,II,II
        IZUMI Masaki
        Operator Algebras and Mathematical Physics, 01 Aug. 2016
      • Indecomposable characters of in nite dimensional groups associated with operator algebras
        IZUMI Masaki
        International conference on structure of C*-algebras and tracial approximation, 04 Jul. 2016
      • An operator algebra approach to the classification of certain fusion categories I,II,III
        IZUMI Masaki
        NCGOA Spring Institute 2016, 21 May 2016
      • The classification of fusion categories via operator algebras
        IZUMI Masaki
        2015 Taiwanese mathematical society annual meeting, 20 Dec. 2015, Invited
      • Noncommutative Poisson boundaries and Cuntz algebra states
        IZUMI Masaki
        Special Week on Operator Algebras, Jun. 2015, Invited
      • Near-group categories and (de)-equivariantization
        IZUMI Masaki
        Subfactors and Conformal Field Theory, Mar. 2015, Invited
      • 3^n11 subfactors
        IZUMI Masaki
        Subfactor theory in mathematics and physics, Jul. 2014, Invited
      • Classification of fusion categories and subfactors
        IZUMI Masaki
        The international conference on operator algebras and mathematical physics, Jun. 2014, Invited
      • Near group categories and their relatives: Cuntz algebra approach
        IZUMI Masaki
        Subfactors, CFT, and VOA, Apr. 2014, Invited
      • The classification of 3^n subfactors with odd n
        IZUMI Masaki
        Subfactors and Fusion Categories, Apr. 2014, Invited
      • Group actions on Kirchberg algebras
        IZUMI Masaki
        Mathematics and Quantum Physics, Jul. 2013, Invited
      • Group actions on operator algebras
        IZUMI Masaki
        The Asian Mathematical Conference, Jun. 2013, Invited
      • Indecomposable characters with infinite groups associated with operator algebras
        IZUMI Masaki
        Workshop on operator algebras, May 2013, Invited
      • Poly-Z group actions on Kirchberg algebras
        IZUMI Masaki
        C*-algebras, Dynamics, and Classification, Oct. 2012, Invited
      • Noncommutative Poisson boundary
        IZUMI Masaki
        Levi-Civita Colloquia, Sep. 2012, Invited
      • The classification of certain fusion categories and subfactors, I, II
        IZUMI Masaki
        Quantum Probabilistic Symmetries, Sep. 2012, Invited
      • Group actions on operator algebras
        IZUMI Masaki
        London Mathematical Society Midlands Regional Meeting, Sep. 2012, Invited
      • Group-subgroup subfactors revisited
        IZUMI Masaki
        SunderFest, Apr. 2012, Invited
      • Subfactors of index 5 and beyond 5
        IZUMI Masaki
        Conference on von Neumann algebras and related topics, Jan. 2012, Invited
      • Type III E0-semigroups
        IZUMI Masaki
        Winter school of operator algebras, Dec. 2011, Invited
      • Discrete group actions on Kirchberg algebras
        IZUMI Masaki
        Conference on C*-algebras and related topics, Sep. 2011, Invited
      • Goldman’s type results for subfactors revisited
        IZUMI Masaki
        Workshop II_1 Factors: Rigidity, Symmetries and Classification,, May 2011, Invited
      • Group actions on operator algebras
        Masaki Izumi
        International Congress of Mathematicians, 20 Aug. 2010, International Mathematical Union, Invited
      • Noncommutative Poisson boundaries
        IZUMI Masaki
        International Conference of Quantum Probability and Related Topics, Aug. 2010, Invited
      • The Toeplitz CAR flows
        IZUMI Masaki
        Satellite Conference on Operator Algebras, Aug. 2010, Invited
      • Classification of group actions on Kirchberg algebras
        IZUMI Masaki
        The Special Week on Operator Algebras, Jun. 2010, Invited

      Books and Other Publications

      Awards

      • 1996
        Mathematical Society of Japan, Takebe Prize
      • 2003
        Mathematical Society of Japan, Analysis Prize
      • 23 Sep. 2010
        Mathematical Society of Japan, MSJ Autumn Prize
      • 04 Feb. 2015
        Inoue Foundation for Science, Inoue Prize for Science

      External funds: Kakenhi

      • Study of operator algebras and quantum symmetries
        Grant-in-Aid for Scientific Research (B)
        Basic Section 12010:Basic analysis-related
        Kyoto University
        泉 正己
        From 01 Apr. 2020, To 31 Mar. 2025, Granted
        作用素環;部分因子環;群作用;フュージョン圏;モジュラーテンソル圏;Cuntz 環;Cuntz環;C*環
        https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-20H01805/
      • Symmetries of operator algebras and subfactors
        Grant-in-Aid for Scientific Research (B)
        Kyoto University
        Masaki Izumi
        From 01 Apr. 2015, To 31 Mar. 2020, Project Closed
        作用素環;フュージョン圏;群作用;部分因子環;分類空間;Cuntz環;モジュラーテンソル圏;核型C*環;函数解析;作用素環論;von Neumann 環;C*環;関数解析学;解析学;数理物理学
        https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-15H03623/
      • 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/
      • 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/
      • Operator algebras and noncommutative analysis
        Grant-in-Aid for Scientific Research (C)
        Kyoto University
        Masaki IZUMI
        From 01 Apr. 2007, To 31 Mar. 2010, Project Closed
        作用素環;半群;正準交換関係;正準反交換関係;Hardy空間;Toeplitz作用素;生成作用素;群作用;テンソル圏;K-理論
        https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-19540214/
      • 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/
      • Quantum analysis in tensor categories and their free products
        Grant-in-Aid for Scientific Research (C)
        Ibaraki University
        Shigeru YAMAGAMI
        From 01 Apr. 2006, To 31 Mar. 2010, Project Closed
        テンソル圏;自由積;平面代数;作用素環;量子代数;遷移確率;面代数;双加群;分岐則代数
        https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-18540201/
      • Harmonic Analysis on Operator Algebras
        Grant-in-Aid for Scientific Research (C)
        Kyoto University
        Masaki IZUMI
        From 01 Apr. 2004, To 31 Mar. 2007, Project Closed
        作用素環;ポワッソン境界;C*-環;フォンノイマン環;双曲群;KMS状態;von Neumann環;Poisson boundary;quantum groups;von Neumann algebras;C^*-algebras;quantum probability, Operator Algebras;Poisson Boundary;C^*-Algebras;von Neumann Algebras
        https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-16540190/
      • 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/
      • 作用素環論における剛性の研究
        Grant-in-Aid for Scientific Research (C)
        The University of Tokyo
        河東 泰之
        From 01 Apr. 2003, To 31 Mar. 2004, Project Closed
        作用素環;剛性;離散群
        https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-15634009/
      • 国際研究集会「無限自由度量子系の解析学」開催のための企画調査
        Grant-in-Aid for Scientific Research (C)
        Kyushu University
        松井 卓
        From 01 Apr. 2002, To 31 Mar. 2003, Project Closed
        数理物理;関数解析;作用素環;統計力学;場の量子論;無限自由度;非平衡;共形場理論
        https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-14604008/
      • Study of recent topics on operator algebras
        Grant-in-Aid for Scientific Research (B)
        KYUSHU UNIVERSITY
        Hideki KOSAKI
        From 01 Apr. 2002, To 31 Mar. 2006, Project Closed
        Jones指数理論;Hopf環;部分因子環;自由積;C^*-環;subshift;作用素平均;作用素単調関数;Heinz型ノルム不等式;C^*-代数;複素力学系;E_0-半群;III型因子環;不確定性原理;ポアソン境界;作用素環;Rohlin性;III_I型因子素環;部分空間の配置;Poisson境界;Schur積;Stieltjes Double Integral変数;Kac環;エルゴード的作用;自然準同型;C^*環;Rohlin性質, Jones index theory;Hopf algebra;subfactor;free product;C^*-algebra;subshift;operator mean;operator monotone function
        https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-14340056/
      • Group actions on operator algebras
        Grant-in-Aid for Scientific Research (C)
        Kyoto University
        Masaki IZUMI
        From 01 Apr. 2001, To 31 Mar. 2004, Project Closed
        C^*環;群作用;K理論;Tate cohomology;因子環;量子群;非可換確率論;量子等質空間;C^環;作用素環;部分因子環, C^*-algebra;group action;K-theory;Tate cohomology;factor;quantum group;non-commutative probability;quantum homogeneous space
        https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-13640210/
      • 作用素環の指数理論とその関連分野への応用の研究
        Grant-in-Aid for Encouragement of Young Scientists (A)
        Kyoto University;The University of Tokyo
        泉 正己
        From 01 Apr. 1998, To 31 Mar. 2000, Project Closed
        作用素環;部分因子環;群作用;ランダムウォーク;Kac代数;K-理論
        https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-10740082/
      • Study on subfactors
        Grant-in-Aid for Scientific Research (A).
        KYUSHU UNIVERSITY
        Hideki KOSAKI
        From 01 Apr. 1997, To 31 Mar. 2001, Project Closed
        fusion代数;Jones指数;Kac環;Rohlin性質;tensor category;Longo-Rehren部分因子環;因子環;両側加群;エルゴード変換;作用素平均;部分因子環;ループ群;Jones指数理論;Longo-Rehren対;C^*環分類;作用業平均;テント写像;Chacon変換;最小作用;位相不重量;指数理論;記号力学元;セクター理論;中間部分因子環;III_0型因子環;C^*部分環, fusion algebra;Jones index;Kac algebra;Rohlin property;tensor category;Longo-Rehren subfactor;factor;bimedule
        https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-09304017/
      • 作用素の自己準同型と絡み糸の不変量
        Grant-in-Aid for Scientific Research on Priority Areas
        Kyoto University
        荒木 不二洋
        From 01 Apr. 1992, To 31 Mar. 1993, Project Closed
        作用素環;部分環;準同形;絡み糸;不変量;場の理論
        https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-04245223/
      • 作用素の部分環とその応用の研究
        Grant-in-Aid for General Scientific Research (C)
        Kyoto University
        荒木 不二洋
        From 01 Apr. 1991, To 31 Mar. 1992, Project Closed
        作用素環;部分環;融合律;自己準同形;スピン格子系;代数解析;エントロピ-;重力場
        https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-03640148/
      • Study of operator algebras and quantum symmetries
        Grant-in-Aid for Scientific Research (B)
        Basic Section 12010:Basic analysis-related
        Kyoto University
        泉 正己
        From 01 Apr. 2020, To 31 Mar. 2025, Granted
        作用素環;部分因子環;群作用;フュージョン圏;モジュラーテンソル圏;Cuntz 環;Cuntz環;C*環
        https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-23K20215/
      list
        Last Updated :2025/05/02

        Education

        Teaching subject(s)

        • From 01 Apr. 2024, To 31 Mar. 2025
          Forefront of Mathematics and Mathematical Science II
          4139, Fall, Faculty of Science, 2
        • From 01 Apr. 2024, To 31 Mar. 2025
          Functional Analysis
          3147, Fall, Faculty of Science, 2
        • From 01 Apr. 2024, To 31 Mar. 2025
          Calculus with Exercises A
          N149, Spring, Institute for Liberal Arts and Sciences, 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 Functional Analysis D
          0539, Fall, Graduate School of Science, 3
        • From 01 Apr. 2024, To 31 Mar. 2025
          Graduate Lecture in Functional Analysis
          0407, Fall, Graduate School of Science, 2
        • From 01 Apr. 2023, To 31 Mar. 2024
          Advanced Linear Algebra
          N130, Spring, Institute for Liberal Arts and Sciences, 2
        • From 01 Apr. 2023, To 31 Mar. 2024
          Special study course (Mathematical Science)
          5140, Year-long, Faculty of Science, 12
        • From 01 Apr. 2023, To 31 Mar. 2024
          Forefront of Mathematics and Mathematical Science I
          4138, Spring, Faculty of Science, 2
        • From 01 Apr. 2023, To 31 Mar. 2024
          Advanced Functional Analysis
          4133, Spring, Faculty of Science, 2
        • From 01 Apr. 2023, To 31 Mar. 2024
          Seminar on Functional Analysis c
          0440, Spring, Graduate School of Science, 3
        • From 01 Apr. 2023, To 31 Mar. 2024
          Seminar on Functional Analysis b
          0439, Fall, Graduate School of Science, 3
        • From 01 Apr. 2023, To 31 Mar. 2024
          Seminar on Functional Analysis a
          0438, Spring, Graduate School of Science, 3
        • From 01 Apr. 2023, To 31 Mar. 2024
          Seminar on Functional Analysis B
          0537, Fall, Graduate School of Science, 3
        • From 01 Apr. 2023, To 31 Mar. 2024
          Seminar on Functional Analysis A
          0536, Spring, Graduate School of Science, 3
        • From 01 Apr. 2023, To 31 Mar. 2024
          Seminar on Functional Analysis d
          0441, Fall, Graduate School of Science, 3
        • From 01 Apr. 2023, To 31 Mar. 2024
          Graduate Lecture in Advanced Functional Analysis
          0408, Spring, Graduate School of Science, 2
        • From 01 Apr. 2022, To 31 Mar. 2023
          Seminar on Analysis a
          0474, Spring, Graduate School of Science, 3
        • 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
          Calculus with Exercises A
          N149, Spring, Institute for Liberal Arts and Sciences, 3
        • From 01 Apr. 2022, To 31 Mar. 2023
          Seminar on Analysis b
          0475, Fall, Graduate School of Science, 3
        • From 01 Apr. 2022, To 31 Mar. 2023
          Functional Analysis
          3147, Fall, Faculty of Science, 2
        • From 01 Apr. 2022, To 31 Mar. 2023
          Graduate Lecture in Functional Analysis
          0407, Fall, Graduate School of Science, 2
        • 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 d
          0441, Fall, Graduate School of Science, 3
        • From 01 Apr. 2022, To 31 Mar. 2023
          Seminar on Analysis c
          0476, Spring, 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
          Forefront of Mathematics and Mathematical Science I
          4138, Spring, Faculty of Science, 2
        • 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
          Seminar on Analysis d
          0477, Fall, Graduate School of Science, 3
        • From 01 Apr. 2022, To 31 Mar. 2023
          Seminar on Functional Analysis a
          0438, Spring, Graduate School of Science, 3
        • From Apr. 2011, To Mar. 2012
          函数解析学数学先端研究A
          Spring, 理学研究科
        • From Apr. 2011, To Mar. 2012
          函数解析学数学先端研究B
          Fall, 理学研究科
        • From Apr. 2011, To Mar. 2012
          函数解析学数学先端研究C
          Spring, 理学研究科
        • From Apr. 2011, To Mar. 2012
          函数解析学数学先端研究D
          Fall, 理学研究科
        • From Apr. 2011, To Mar. 2012
          数学基盤研究　解析学A
          Spring, 理学研究科
        • From Apr. 2011, To Mar. 2012
          数学基盤研究　解析学B
          Fall, 理学研究科
        • From Apr. 2011, To Mar. 2012
          函数解析続論
          Spring, 理学研究科
        • From Apr. 2011, To Mar. 2012
          Advanced Calculus A
          Spring, 全学共通科目
        • From Apr. 2011, To Mar. 2012
          函数解析続論
          Spring, 理学部
        • From Apr. 2012, To Mar. 2013
          Functional Analysis
          Fall, 理学部
        • From Apr. 2012, To Mar. 2013
          Mathematics seminary
          Year-long, 理学部
        • From Apr. 2012, To Mar. 2013
          Exercises in Analysis II
          Fall, 理学部
        • From Apr. 2013, To Mar. 2014
          函数解析続論
          Spring, 理学部
        • From Apr. 2013, To Mar. 2014
          Calculus B
          Fall, 全学共通科目
        • From Apr. 2014, To Mar. 2015
          Functional Analysis
          Fall, 理学部
        • From Apr. 2014, To Mar. 2015
          Seminar on Functional Analysis A
          Spring, 理学研究科
        • From Apr. 2014, To Mar. 2015
          Seminar on Functional Analysis B
          Fall, 理学研究科
        • From Apr. 2014, To Mar. 2015
          Seminar on Functional Analysis C
          Spring, 理学研究科
        • From Apr. 2014, To Mar. 2015
          Seminar on Functional Analysis D
          Fall, 理学研究科
        • From Apr. 2014, To Mar. 2015
          Functional Analysis
          Fall, 理学研究科
        • From Apr. 2014, To Mar. 2015
          Linear Algebra A
          Spring, 全学共通科目
        • From Apr. 2014, To Mar. 2015
          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
          Advanced Functional Analysis
          Spring, 理学研究科
        • From Apr. 2015, To Mar. 2016
          函数解析続論
          Spring, 理学部
        • From Apr. 2015, To Mar. 2016
          Calculus with Exercises A
          Spring, 全学共通科目
        • From Apr. 2015, To Mar. 2016
          Calculus with Exercises B
          Fall, 全学共通科目
        • From Apr. 2015, To Mar. 2016
          Seminar on Analysis C
          Spring, 理学研究科
        • From Apr. 2015, To Mar. 2016
          Seminar on Analysis D
          Fall, 理学研究科
        • From Apr. 2015, To Mar. 2016
          Mathematics seminary
          Year-long, 理学部
        • From Apr. 2015, To Mar. 2016
          Linear Algebra with Exercises A
          Spring, 全学共通科目
        • From Apr. 2015, To Mar. 2016
          Linear Algebra with Exercises B
          Fall, 全学共通科目
        • From Apr. 2015, To Mar. 2016
          Analysis II
          Fall, 理学部
        • From Apr. 2016, To Mar. 2017
          Functional Analysis
          Fall, 理学研究科
        • From Apr. 2016, To Mar. 2017
          Functional Analysis
          Fall, 理学部
        • 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
          Mathematics seminary
          Year-long, 理学部
        • From Apr. 2016, To Mar. 2017
          Linear Algebra with Exercises B
          Fall, 全学共通科目
        • From Apr. 2016, To Mar. 2017
          Exercises in Analysis II
          Fall, 理学部
        • 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. 2017, To Mar. 2018
          Seminar on Analysis A
          Spring, 理学研究科
        • From Apr. 2017, To Mar. 2018
          Seminar on Analysis B
          Fall, 理学研究科
        • From Apr. 2017, To Mar. 2018
          Analysis II
          Fall, 理学部
        • From Apr. 2018, To Mar. 2019
          Functional Analysis
          Fall, 理学部
        • From Apr. 2018, To Mar. 2019
          Graduate Lecture in Functional Analysis
          Fall, 理学研究科
        • From Apr. 2018, To Mar. 2019
          Calculus 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. 2019, To Mar. 2020
          Functional Analysis
          Fall, 理学部
        • From Apr. 2019, To Mar. 2020
          Graduate Lecture in Functional Analysis
          Fall, 理学研究科
        • From Apr. 2019, To Mar. 2020
          Calculus 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. 2019, To Mar. 2020
          Advanced Analysis III
          Spring, 理学部
        • From Apr. 2019, To Mar. 2020
          Topics in Analysis E
          Spring, 理学研究科
        • From Apr. 2020, To Mar. 2021
          Advanced Functional Analysis
          Spring, 理学部
        • From Apr. 2020, To Mar. 2021
          Graduate Lecture in Advanced Functional Analysis
          Spring, 理学研究科
        • 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
          Special study course (Mathematical Science
          Year-long, 理学部
        • From Apr. 2020, To Mar. 2021
          Special study course (Mathematical Science)
          Year-long, 理学部
        • From Apr. 2021, To Mar. 2022
          Functional Analysis
          Fall, 理学部
        • From Apr. 2021, To Mar. 2022
          Graduate Lecture in Functional Analysis
          Fall, 理学研究科
        • From Apr. 2021, To Mar. 2022
          Advanced Functional Analysis
          Spring, 理学部
        • From Apr. 2021, To Mar. 2022
          Graduate Lecture in Advanced Functional Analysis
          Spring, 理学研究科
        • 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
          Seminar on Analysis a
          Spring, 理学研究科
        • From Apr. 2021, To Mar. 2022
          Seminar on Analysis b
          Fall, 理学研究科

        Participation in PhD Defense

        • Classification of Quantum Graphs on M2 and algebraic characterization of properties of quantum graphs
          MATSUDA JUNICHIRO, 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, Sub-chief Examiner
          25 Mar. 2024
        • Pattern Formation and Dynamics of Localized Spots of a Reaction-diffusion System on the Surface of a Torus
          WANG PENGHAO, Graduate School of Science, Sub-chief Examiner
          23 Mar. 2022
        • A topological invariant for continuous fields of Cuntz algebras
          SOGABE TARO, Graduate School of Science, Chief Examiner
          24 Nov. 2021
        • A unifying approach to non-minimal quasi-stationary distributions for one-dimensional diffusions
          YAMATO KOSUKE, Graduate School of Science, Sub-chief Examiner
          23 Mar. 2022
        • Percolation on crystal lattices and covering monotonicity of percolation clusters
          MIKAMI TATSUYA, Graduate School of Science, Sub-chief Examiner
          23 Mar. 2022
        • Random Matrices and Quantum Information Theory
          F■lix PARRAUD, Graduate School of Science, Sub-chief Examiner
          24 Sep. 2021
        • Level set numerical approach to anisotropic mean curvature flow on obstacle
          GAVHALE SIDDHARTH BALU, Graduate School of Science, Sub-chief Examiner
          23 Mar. 2022
        list
          Last Updated :2025/05/02

          Administration

          School management (title, position)

          • From 01 Apr. 2024, To 31 Mar. 2025
            入学試験委員会 委員
          • From 01 Apr. 2023, To 31 Mar. 2024
            数学系 学系長
          • From 01 Apr. 2023, To 31 Mar. 2024
            入学試験委員会 委員
          • From 01 Apr. 2022, To 31 Mar. 2023
            入学試験委員会 委員
          • From 01 Apr. 2010, To 31 Mar. 2011
            教職科目連絡小委員会 委員
          • From 01 May 2014, To 31 Mar. 2018
            国際高等教育院 企画評価専門委員会 数学部会 委員
          • From 01 Apr. 2021, To 31 Mar. 2022
            入学試験委員会 委員

          Faculty management (title, position)

          • From 01 Apr. 2024, To 31 Mar. 2025
            理学部・教育委員会委員
          • From 01 Apr. 2024, To 31 Mar. 2025
            理学部・教育委員会　少人数担任委員会
          • From 01 Apr. 2024, To 31 Mar. 2025
            理学研究科予算委員会委員
          • 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
            理学研究科予算委員会委員
          • From 01 Apr. 2023, To 31 Mar. 2024
            理学研究科定員管理委員会委員
          • From 01 Apr. 2014, To 31 Mar. 2016
            地域研究統合情報センター協議員
          • From 01 May 2014, To 30 Apr. 2015
            国際高等教育院企画評価専門委員会数学部会
          • From 01 Apr. 2014, To 31 Mar. 2015
            理学研究科図書・出版委員会委員
          • From 01 Apr. 2015, To 31 Mar. 2016
            理学研究科将来計画委員会委員
          • From 01 Apr. 2013, To 31 Mar. 2014
            数学・数理解析専攻・専攻長
          • From 01 Apr. 2016, To 31 Mar. 2017
            理学研究科将来計画委員会委員
          • From 01 Apr. 2017, To 31 Mar. 2018
            理学部・教育委員会委員
          • From 01 May 2016, To 30 Apr. 2018
            国際高等教育院企画評価専門委員会数学部会
          • From 01 Apr. 2018, To 31 Mar. 2019
            理学研究科大学院教育教務委員会委員
          • From 01 Apr. 2018, To 31 Mar. 2019
            理学研究科研究科会議構成員
          • From 01 Apr. 2019, To 31 Mar. 2020
            理学研究科将来計画委員会委員
          • From 01 Apr. 2019, To 31 Mar. 2020
            理学研究科大学院教育常任委員会委員
          • From 01 Apr. 2019, To 31 Mar. 2020
            理学研究科大学院教育教務委員会委員
          • From 01 Apr. 2019, To 31 Mar. 2020
            理学研究科研究科会議構成員
          • From 01 Apr. 2020, To 31 Mar. 2021
            理学研究科将来計画委員会委員
          • From 01 Apr. 2020, To 31 Mar. 2021
            理学研究科大学院教育常任委員会委員
          • From 01 Apr. 2020, To 31 Mar. 2021
            理学研究科大学院教育教務委員会委員
          • From 01 Apr. 2020, To 31 Mar. 2021
            理学研究科研究科会議構成員
          • From 01 Mar. 2019
            (卓越研究員事業）白眉センター専門委員会委員　【グローバル型】
          • From 01 Apr. 2021, To 31 Mar. 2022
            理学研究科自己点検・評価委員会委員
          • From 01 Apr. 2021, To 31 Mar. 2022
            理学研究科研究科会議構成員

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