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Matsui Hiroki  松井 紘樹

… Alternative Names

松井 紘樹  マツイ ヒロキ

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Researcher Number 50943536
Other IDs
  • ORCIDhttps://orcid.org/0000-0001-9545-8337
Affiliation (Current) 2026: 広島大学, 先進理工系科学研究科(理), 准教授
2026: 徳島大学, 大学院社会産業理工学研究部(理工学域), 講師
Affiliation (based on the past Project Information) *help 2026: 徳島大学, 大学院社会産業理工学研究部(理工学域), 講師
2022 – 2024: 徳島大学, 大学院社会産業理工学研究部(理工学域), 講師
Review Section/Research Field
Principal Investigator
Basic Section 11010:Algebra-related
Keywords
Principal Investigator
特異圏 / 可換環論 / Frobenius押し出し関手 / スキーム / 可換環 / スペクトラム / 完全導来圏 / 導来圏 / アーベル多様体 / 代数多様体 / 三角圏
  • Research Projects

    (2 results)
  • Research Products

    (25 results)
  •  三角圏の幾何学と可換環論・代数幾何学における復元問題Principal Investigator

    • Principal Investigator
      松井 紘樹
    • Project Period (FY)
      2026 – 2028
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Review Section
      Basic Section 11010:Algebra-related
    • Research Institution
      The University of Tokushima
  •  三角幾何学の構築とその可換環論への応用Principal Investigator

    • Principal Investigator
      松井 紘樹
    • Project Period (FY)
      2022 – 2025
    • Research Category
      Grant-in-Aid for Early-Career Scientists
    • Review Section
      Basic Section 11010:Algebra-related
    • Research Institution
      The University of Tokushima

All 2025 2024 2023 2022

All Journal Article Presentation

  • [Journal Article] A new proof of the Bondal-Orlov reconstruction using Matsui spectra2025

    • Author(s)
      Ito Daigo、Matsui Hiroki
    • Journal Title

      Bulletin of the London Mathematical Society

      Volume: - Issue: 7 Pages: 2058-2076

    • DOI

      10.1112/blms.70079

    • Peer Reviewed / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-22K13894
  • [Journal Article] Depth formula for modules of finite reducing projective dimension2024

    • Author(s)
      Celikbas Olgur、Kobayashi Toshinori、Laverty Brian、Matsui Hiroki
    • Journal Title

      Annali di Matematica Pura ed Applicata (1923 -)

      Volume: 204 Issue: 2 Pages: 859-878

    • DOI

      10.1007/s10231-024-01509-0

    • Peer Reviewed / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-22K13894
  • [Journal Article] On the reducing projective dimension of the residue field2023

    • Author(s)
      Olgur Celikbas, Souvik Dey, Toshinori Kobayashi, and Hiroki Matsui
    • Journal Title

      Glasgow Mathematical Journal

      Volume: -

    • Peer Reviewed / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-22K13894
  • [Journal Article] On the categorical entropy of the Frobenius pushforward functor2023

    • Author(s)
      Hiroki Matsui and Ryo Takahashi
    • Journal Title

      Bulletin of the London Mathematical Society

      Volume: -

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-22K13894
  • [Journal Article] Remarks on a conjecture of Huneke and Wiegand and the vanishing of (co)homology2023

    • Author(s)
      Olgur Celikbas, Uyen Le, Hiroki Matsui, and Arash Sadeghi
    • Journal Title

      Journal of the Mathematical Society of Japan

      Volume: -

    • Peer Reviewed / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-22K13894
  • [Journal Article] When is a subcategory Serre or torsionfree?2023

    • Author(s)
      Kei-ichiro Iima, Hiroki Matsui, Kaori Shimada, and Ryo Takahashi
    • Journal Title

      Publications of the Research Institute for Mathematical Sciences

      Volume: -

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-22K13894
  • [Journal Article] On the depth and reflexivity of tensor products2022

    • Author(s)
      Olgur Celikbas, Uyen Le, and Hiroki Matsui
    • Journal Title

      Journal of Algebra

      Volume: 606 Pages: 916-932

    • Peer Reviewed / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-22K13894
  • [Journal Article] An Extension of a Depth Inequality of Auslander2022

    • Author(s)
      Olgur Celikbas, Uyen Le, and Hiroki Matsui
    • Journal Title

      Taiwanese Journal of Mathematics

      Volume: 26 Pages: 903-926

    • Peer Reviewed / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-22K13894
  • [Presentation] 加群のreducing ホモロジー次元とその応用2024

    • Author(s)
      松井紘樹
    • Organizer
      半田山可換代数表現論セミナー
    • Invited
    • Data Source
      KAKENHI-PROJECT-22K13894
  • [Presentation] 三角圏のsupport と三角圏の幾何学2024

    • Author(s)
      松井紘樹
    • Organizer
      可換代数と情報数理セミナー
    • Invited
    • Data Source
      KAKENHI-PROJECT-22K13894
  • [Presentation] 三角圏の幾何学とその応用2024

    • Author(s)
      松井紘樹
    • Organizer
      ミニワークショップ「Classification of Subcategories of abelian and triangulated categories」
    • Invited
    • Data Source
      KAKENHI-PROJECT-22K13894
  • [Presentation] Depth formula for modules with finite reducing projective dimension2024

    • Author(s)
      松井紘樹
    • Organizer
      東京可換環論セミナー
    • Invited
    • Data Source
      KAKENHI-PROJECT-22K13894
  • [Presentation] Spectra of triangulated categories and their applications to affine and projective varieties2024

    • Author(s)
      松井紘樹
    • Organizer
      第 45 回可換環論シンポジウム
    • Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-22K13894
  • [Presentation] 三角圏の幾何学とその応用2024

    • Author(s)
      松井紘樹
    • Organizer
      令和5年度日本数学会中国・四国支部例会
    • Invited
    • Data Source
      KAKENHI-PROJECT-22K13894
  • [Presentation] Support theory and its applications to algebra2024

    • Author(s)
      松井紘樹
    • Organizer
      Interactions of commutative algebra, representation theory, and combinatorics in Bangkok
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-22K13894
  • [Presentation] The spectrum of a triangulated category and its applications to algebraic geometry2024

    • Author(s)
      松井紘樹
    • Organizer
      Geometry and Dynamics Seminar
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-22K13894
  • [Presentation] 三角圏のスペクトラムとスキームの復元問題2023

    • Author(s)
      松井紘樹
    • Organizer
      日本数学会2023年度年会
    • Invited
    • Data Source
      KAKENHI-PROJECT-22K13894
  • [Presentation] Characterization of local rings via reducing homological dimensions2023

    • Author(s)
      松井紘樹
    • Organizer
      第44回可換環論シンポジウム
    • Data Source
      KAKENHI-PROJECT-22K13894
  • [Presentation] Frobenius押し出し関手の圏論的エントロピー2023

    • Author(s)
      松井紘樹
    • Organizer
      第5回情報数理セミナー
    • Invited
    • Data Source
      KAKENHI-PROJECT-22K13894
  • [Presentation] Spectra of triangulated categories and their application2023

    • Author(s)
      松井紘樹
    • Organizer
      The 9th China-Japan-Korea International Conference on Ring and Module Theory
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-22K13894
  • [Presentation] Categorical entropy of the Frobenius pushforward functor2023

    • Author(s)
      Hiroki Matsui
    • Organizer
      The 11th Japan-Vietnam Joint seminar on Commutative Algebra, by and for young mathematicians
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-22K13894
  • [Presentation] 導来圏のスペクトラムと代数多様体の復元問題2022

    • Author(s)
      松井紘樹
    • Organizer
      日本数学会2022年度秋季総合分科会
    • Data Source
      KAKENHI-PROJECT-22K13894
  • [Presentation] Spectra of derived categories of Noetherian schemes2022

    • Author(s)
      Hiroki Matsui
    • Organizer
      Seminar of Algebraic Geometry in East Asia
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-22K13894
  • [Presentation] Categorical entropy of the Frobenius pushforward functor2022

    • Author(s)
      松井紘樹
    • Organizer
      第54回環論および表現論シンポジウム
    • Data Source
      KAKENHI-PROJECT-22K13894
  • [Presentation] Spectra of derived categories of algebraic varieties and reconstruction2022

    • Author(s)
      松井紘樹
    • Organizer
      第43回可換環論シンポジウム
    • Data Source
      KAKENHI-PROJECT-22K13894

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