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Arano, Yuki

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

Arano, Yuki
list
    Last Updated :2022/09/30

    Basic Information

    Faculty

    • 理学部

    Academic Degree

    • 修士(数理科学)(東京大学)
    • 博士(数理科学)(東京大学)

    ID,URL

    researchmap URL

    list
      Last Updated :2022/09/30

      Research

      Research Topics, Overview of the research

      • Research Topics

        operator algebras, especially tensor categories and quantum groups
      • Overview of the research

        I am interested in operator algebras, especially in operator algebraic quantum groups with a relationship with tensor categories and subfactors.

      Research Interests

      • quantum groups
      • operator algebras

      Research Areas

      • Natural sciences, Basic analysis, operator algebras

      Papers

      • Torsion-freeness for fusion rings and tensor C*-categories
        Yuki Arano
        Journal of Noncommutative Geometry, 2019, Peer-reviewed
      • Unitary spherical representations of Drinfeld doubles
        Yuki Arano; Kenny De Commer
        Journal für die reine und angewandte Mathematik, Sep. 2018, Peer-reviewed
      • The Fourier algebra of a rigid C*-tensor category
        Yuki Arano; Tim de Laat; Jonas Wahl
        Publication RIMS, 2018, Peer-reviewed
      • Howe-Moore type theorems for quantum groups and rigid C*-tensor categories
        Yuki Arano; Tim de Laat; Jonas Wahl
        Compositio Mathematica, 2018, Peer-reviewed
      • A categorical perspective on the Atiyah–Segal completion theorem in KK-theory
        Yuki Arano; Yosuke Kubota
        Journal of Noncommutative Geometry, 2018, Peer-reviewed
      • Comparison of Unitary Duals of Drinfeld Doubles and Complex Semisimple Lie Groups
        Yuki Arano
        COMMUNICATIONS IN MATHEMATICAL PHYSICS, May 2017, Peer-reviewed
      • Compact Lie group action with the continuous Rokhlin property
        Yuki Arano; Yosuke Kubota
        JOURNAL OF FUNCTIONAL ANALYSIS, Jan. 2017, Peer-reviewed
      • C*-tensor categories and subfactors for totally disconnected groups
        Yuki Arano; Stefaan Vaes
        Operator Algebras and Applications, The Abel Symposium 2015, 2016, Peer-reviewed, Invited

      Awards

      • 12 Sep. 2017
        The Mathematical Society of Japan, Takebe Katahiro Prize for Encouragement of Young Researchers

      External funds: Kakenhi

      • Tensor categories and subfactors
        Grant-in-Aid for Early-Career Scientists
        Basic Section 12010:Basic analysis-related
        Kyoto University
        荒野 悠輝
        From 01 Apr. 2018, To 31 Mar. 2022, Granted
        量子群;テンソル圏;部分因子環;部分因子環論;作用素環
      list
        Last Updated :2022/09/30

        Education

        Teaching subject(s)

        • From 01 Apr. 2022, To 31 Mar. 2023
          Exercises in Analysis I
          3184, Spring, Faculty of Science, 4
        • From 01 Apr. 2022, To 31 Mar. 2023
          Exercises in Basic Analysis
          2107, Fall, Faculty of Science, 2
        • From Apr. 2017, To Mar. 2018
          Calculus with Exercises B
          Fall, 全学共通科目
        • From Apr. 2017, To Mar. 2018
          Exercises in Analysis II
          Fall, 理学部
        • 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
          Exercises in Basic Analysis
          Fall, 理学部
        • From Apr. 2018, To Mar. 2019
          Exercises in Analysis I
          Spring, 理学部
        • 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
          Exercises in Analysis II
          Fall, 理学部
        • From Apr. 2020, To Mar. 2021
          Seminar on Analysis a
          Spring, 理学研究科
        • From Apr. 2020, To Mar. 2021
          Seminar on Analysis b
          Fall, 理学研究科
        • From Apr. 2020, To Mar. 2021
          Exercises in Analysis I
          Spring, 理学部
        • 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 c
          Spring, 理学研究科
        • From Apr. 2021, To Mar. 2022
          Seminar on Analysis d
          Fall, 理学研究科
        • From Apr. 2021, To Mar. 2022
          Exercises in Analysis I
          Spring, 理学部

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