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Kato Kiriko  加藤 希理子

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KATO Kiriko  加藤 希理子

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Researcher Number 00347478
Affiliation (Current) 2025: 大阪公立大学, 大学院理学研究科, 准教授
Affiliation (based on the past Project Information) *help 2022 – 2023: 大阪公立大学, 大学院理学研究科, 准教授
2012 – 2021: 大阪府立大学, 理学(系)研究科(研究院), 准教授
2007 – 2011: Osaka Prefecture University, Graduate School of Science, Associate Professor
2008: Osaka Prefecture University, 大学院・理学系研究科, 准教授
2005 – 2006: Osaka Prefecture University, Graduate School of Science, Assistant Professor, 理学系研究科, 助教授
2003 – 2004: 大阪女子大学, 理学部, 助教授
Review Section/Research Field
Principal Investigator
Algebra / Basic Section 11010:Algebra-related
Except Principal Investigator
Basic analysis / Geometry / General mathematics (including Probability theory/Statistical mathematics)
Keywords
Principal Investigator
環論 / ホモロジー代数 / 圏論 / 捩れ対 / 三角圏 / ホモロジー / 安定圏 / 特異圏 / Cohen-Macaulay加群 / recollement / t-structure / 導来圏 … More
Except Principal Investigator
… More Hypersurface / Levi Form / Distance Function / Curvature / Plurisubharmonic Function / Differential Geometry / Complex Analysis / Function Theory / レビ問題 / スタイン多様体 / 可展面 / レビ平坦曲面 / ケーラー多様体 / 擬凸領域 / 多変数関数論 / 超曲面 / レビ形式 / 距離関数 / 曲率 / 多重劣調和関数 / 微分幾何学 / 複素解析学 / 関数論 / stable homotopy / symplectic group / exceptional Lie groups / rational homotopy eauivalence / Loop space / Phantom map / 局所化 / スティーロッド作用素 / リー群 / 逆系 / Gray指数 / 分解 / 例外型リー群 / 安定ホモトピー圏 / シンプレクティック群 / 例外リー群 / 有理ホモトピー同値 / ループ空間 / 幽霊写像 / Special functions / Non-commutative geometry / Quantum groups / Representation theory / Hopf algebras / boson algebras / weak Hopf代数 / コヒーレント状態 / リー代数の量子化 / 国際研究者交流(インド) / 特殊関数 / 非可換幾何学 / 量子群 / 表現論 / ホップ代数 / ボゾン代数 Less
  • Research Projects

    (7 results)
  • Research Products

    (50 results)
  • Co-Researchers

    (22 People)
  •  捩れ対の多角化についての研究Principal Investigator

    • Principal Investigator
      加藤 希理子
    • Project Period (FY)
      2018 – 2024
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Review Section
      Basic Section 11010:Algebra-related
    • Research Institution
      Osaka Metropolitan University
      Osaka Prefecture University
  •  Induced torsion structures on triangulated categoriesPrincipal Investigator

    • Principal Investigator
      Kato Kiriko
    • Project Period (FY)
      2014 – 2017
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Osaka Prefecture University
  •  Torsion structures in triangulated categoriesPrincipal Investigator

    • Principal Investigator
      KATO Kiriko
    • Project Period (FY)
      2010 – 2013
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Osaka Prefecture University
  •  Syzygy problems by method of stable categoriesPrincipal Investigator

    • Principal Investigator
      KATO Kiriko
    • Project Period (FY)
      2006 – 2009
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Osaka Prefecture University
  •  Study on phantom maps

    • Principal Investigator
      IRIYE Kouyemon
    • Project Period (FY)
      2004 – 2007
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      Osaka Prefecture University
      Osaka Women's University
  •  Function Theory of pseudoconvex subdomains and Geometry of boundaries in Kahler manifolds

    • Principal Investigator
      MATSUMOTO Kazuko
    • Project Period (FY)
      2004 – 2007
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Basic analysis
    • Research Institution
      Osaka Prefecture University
      Osaka Women's University
  •  Generalized boson algebras : their properties and applications to mathematics and physics

    • Principal Investigator
      AIZAWA Naruhiko
    • Project Period (FY)
      2003 – 2005
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      Osaka Prefecture University
      Osaka Women's University

All 2022 2020 2018 2017 2016 2015 2013 2012 2011 2010 2008 2007 2006 Other

All Journal Article Presentation

  • [Journal Article] Totally acyclic complexes and locally Gorenstein rings,2018

    • Author(s)
      L. W. Christensen and K. Kato,
    • Journal Title

      J. Algebra and Its Applications

      Volume: 17 Issue: 03 Pages: 1850039-1850039

    • DOI

      10.1142/s0219498818500391

    • Peer Reviewed / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-26400052
  • [Journal Article] Totally acyclic complexes and locally Gorenstein rings,2017

    • Author(s)
      L. W. Christensen and K. Kato
    • Journal Title

      J. Algebra and Its Applications

      Volume: 印刷中

    • Acknowledgement Compliant
    • Data Source
      KAKENHI-PROJECT-26400052
  • [Journal Article] Derived categories of N-complexes2017

    • Author(s)
      Osamu Iyama, Kiriko Kato and Jun-ichi Miyachi
    • Journal Title

      Journal of the London Mathematical Society

      Volume: 96 Issue: 3 Pages: 687-716

    • DOI

      10.1112/jlms.12084

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-25287001, KAKENHI-PROJECT-15H05738, KAKENHI-PROJECT-16H03923, KAKENHI-PROJECT-26400052
  • [Journal Article] Triangulated subcategories of extensions, stable t-structures, and triangles of recollements2015

    • Author(s)
      Peter Jorgensen and Kiriko Kato
    • Journal Title

      Journal of Pure and Applied Algebra

      Volume: 219 Issue: 12 Pages: 5500-5510

    • DOI

      10.1016/j.jpaa.2015.05.029

    • Peer Reviewed / Acknowledgement Compliant / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-26400052
  • [Journal Article] Symmetric Auslander and Bass Categories2011

    • Author(s)
      Peter Jorgensen, Kiriko Kato
    • Journal Title

      Mathematical Proceedings of the Cambridge Philosophical Society

      Volume: 50-2 Pages: 227-240

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-22540053
  • [Journal Article] Recollement of homotopy categories and Cohen-Macaulay modules2011

    • Author(s)
      O.Iyama, K.Kato, J.Miyachi
    • Journal Title

      J.K-Theory

      Volume: 8 Issue: 3 Pages: 507-542

    • DOI

      10.1017/is011003007jkt143

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-21740010, KAKENHI-PROJECT-22224001, KAKENHI-PROJECT-22540053
  • [Journal Article] Symmetric Auslander and Bass Categories2011

    • Author(s)
      Peter J rgensen and Kiriko Kato
    • Journal Title

      Mathematical Proceedings of the Cambridge Philosophical Society

      Volume: Vol.50, no.2

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-22540053
  • [Journal Article] Recollement of homotopy categories and Cohen-Macaulay modules2011

    • Author(s)
      Osamu Iyama , Kiriko Kato and Jun-ichi Miyachi
    • Journal Title

      Journal of K-theory

      Volume: Vol.8, no.3 Pages: 507-542

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-22540053
  • [Journal Article] Morphisms represented by monomorphisms2008

    • Author(s)
      Kiriko Kato
    • Journal Title

      Journal of Pure and Applied Algebra vol.208no.1

      Pages: 261-283

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18540044
  • [Journal Article] Syzygies of modules with positive codimension2008

    • Author(s)
      Kiriko Kato
    • Journal Title

      Journal of Algebra vol.318no.1

      Pages: 25-36

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18540044
  • [Journal Article] Syzygies of modules with positive codimensions2007

    • Author(s)
      加藤 希理子
    • Journal Title

      Journal of Algebra 318

      Pages: 25-36

    • Description
      「研究成果報告書概要(和文)」より
    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-16540076
  • [Journal Article] Syzygies of modules with positive codimension2007

    • Author(s)
      Kiriko KATO
    • Journal Title

      Journal of Algebra 318

      Pages: 25-36

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18540044
  • [Journal Article] Syzygies of modules with positive codimensions2007

    • Author(s)
      K. Kato
    • Journal Title

      Journal of Algebra 318

      Pages: 25-36

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-16540076
  • [Journal Article] Morphisms represented by monomorphisms2007

    • Author(s)
      加藤 希理子
    • Journal Title

      Journal of Pure and Applied Algebra 208

      Pages: 261-283

    • Data Source
      KAKENHI-PROJECT-16540076
  • [Journal Article] Syzygies of modules with positive codimension2007

    • Author(s)
      Kiriko KATO
    • Journal Title

      Journal of Algebra (印刷中)

    • Data Source
      KAKENHI-PROJECT-18540044
  • [Journal Article] Morphisms represented by monomorphisms2007

    • Author(s)
      K. Kato
    • Journal Title

      Journal of Pure and Applied Algebras 208

      Pages: 261-283

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-16540076
  • [Journal Article] Syzyzies of Modules with positive codimension2007

    • Author(s)
      Kiriko Kato
    • Journal Title

      Journal of Algebra Vol.318, no.1

      Pages: 25-36

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18540044
  • [Journal Article] Morphisms representee by monomorphisms2007

    • Author(s)
      Kiriko KATO
    • Journal Title

      Journal of Pure and Applied Algebra 208

      Pages: 261-283

    • Data Source
      KAKENHI-PROJECT-18540044
  • [Journal Article] Morphisms represented by monomorphisms2007

    • Author(s)
      加藤 希理子
    • Journal Title

      Journal of Pure and Applied Algebras 208

      Pages: 261-283

    • Description
      「研究成果報告書概要(和文)」より
    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-16540076
  • [Journal Article] Syzygies of modules with positive codimension2007

    • Author(s)
      加藤 希理子
    • Journal Title

      Journal of Algebra 318

      Pages: 25-36

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-16540076
  • [Journal Article] Morphisms represented by monomorphisms2007

    • Author(s)
      Kiriko Kato
    • Journal Title

      Journal of Pure and Applred Algebra Vol.208, no.1

      Pages: 261-283

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18540044
  • [Journal Article] Morphisms represented by monomorphisms

    • Author(s)
      K.Kato
    • Journal Title

      Journal of Pure and Applied Algebra (印刷中)

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-15540132
  • [Journal Article] Morphisms represented by monomorphisms

    • Author(s)
      Kiriko Kato
    • Journal Title

      Journal of Pure and Applied Algebra (印刷中)

    • Data Source
      KAKENHI-PROJECT-15540132
  • [Journal Article] Morphisms represented by monomorphisms

    • Author(s)
      K.Kato
    • Journal Title

      Journal of Pure and Applied Algebra (In press)

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-15540132
  • [Journal Article] Morphisms represented by monomorphisms

    • Author(s)
      加藤 希理子
    • Journal Title

      Journal of Pure and Applied Algebra (印刷中)

    • Data Source
      KAKENHI-PROJECT-16540076
  • [Presentation] ホモトピー圏の部分圏としての安定圏2022

    • Author(s)
      加藤 希理子
    • Organizer
      Okayama Seminar on Commutative Algebra and Representations #27
    • Invited
    • Data Source
      KAKENHI-PROJECT-18K03251
  • [Presentation] Unbounded Symmetric Auslander Category2020

    • Author(s)
      Kiriko Kato
    • Organizer
      Okayama Seminar on Commutative Algebra
    • Invited
    • Data Source
      KAKENHI-PROJECT-18K03251
  • [Presentation] Pollygon of recollements and N-complexes2018

    • Author(s)
      Kiriko Kato
    • Organizer
      International conference on representations of algebras
    • Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-18K03251
  • [Presentation] Polygons of recollements2016

    • Author(s)
      Kiriko Kato
    • Organizer
      Triangulated Categories in Algebra, Geometry and Topology
    • Place of Presentation
      University of Stuttgart, Stuttgart, Germany
    • Year and Date
      2016-03-14
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-26400052
  • [Presentation] 多角形ルコルマンー三角圏の対称性ー2016

    • Author(s)
      加藤 希理子
    • Organizer
      第61回代数学シンポジウム
    • Place of Presentation
      佐賀大学
    • Invited
    • Data Source
      KAKENHI-PROJECT-26400052
  • [Presentation] Triangulated categories of extensions and triangles of recollements2013

    • Author(s)
      加藤 希理子
    • Organizer
      第46回環論および表現論シンポジウム
    • Place of Presentation
      東京理科大学神楽坂キャンパス
    • Data Source
      KAKENHI-PROJECT-22540053
  • [Presentation] Triangulated categories of extensions and triangles of recollements2013

    • Author(s)
      Kiriko Kato
    • Organizer
      American Mathematical Society, The 2013 Fall Southeastern Sectional Meeting
    • Place of Presentation
      University of Louisville, KY, USA
    • Year and Date
      2013-10-05
    • Data Source
      KAKENHI-PROJECT-22540053
  • [Presentation] Triangulated categories of extensions and triangles of recollements2013

    • Author(s)
      Kiriko Kato
    • Organizer
      American Mathematical Society, Fall Southeastern Sectional Meeting
    • Place of Presentation
      米国ケンタッキー州ルイビル大学
    • Invited
    • Data Source
      KAKENHI-PROJECT-22540053
  • [Presentation] 三角圏とホモロジー代数2012

    • Author(s)
      加藤希理子
    • Organizer
      研究集会:(非)可換代数とトポロジー
    • Place of Presentation
      信州大学
    • Data Source
      KAKENHI-PROJECT-22540053
  • [Presentation] 三角圏とホモロジー代数2012

    • Author(s)
      加藤希理子
    • Organizer
      研究集会:(非)可換代数とトポロジー
    • Place of Presentation
      信州大学理学部(招待講演)
    • Data Source
      KAKENHI-PROJECT-22540053
  • [Presentation] Recollements of homotopy categories and Cohen-Macaulay modules2010

    • Author(s)
      Kiriko Kato
    • Organizer
      International Conference on representations of algebras XIV
    • Place of Presentation
      国立オリンピック記念青少年総合センター
    • Year and Date
      2010-08-15
    • Data Source
      KAKENHI-PROJECT-22540053
  • [Presentation] Recollements of homotopy category and Cohen-Macaulay modules2010

    • Author(s)
      Kiriko Kato
    • Organizer
      International Conference on Representations of Algebras XIV
    • Year and Date
      2010-08-15
    • Data Source
      KAKENHI-PROJECT-22540053
  • [Presentation] Recollement of Homotopy Category and Cohen-Macaulay Modules2008

    • Author(s)
      加藤 希理子
    • Organizer
      研究集会「有限群と代数の表現論およびその周辺」
    • Place of Presentation
      京都大学数理解析研究所
    • Year and Date
      2008-11-21
    • Data Source
      KAKENHI-PROJECT-18540044
  • [Presentation] Recollement of homotopy categories and Cohen-Macaulay modules, Commutative Algebra2008

    • Author(s)
      Kiriko Kato
    • Organizer
      Connections with Algebraic Topology and Representation Theory
    • Place of Presentation
      米国Nebraska大学
    • Year and Date
      2008-05-19
    • Data Source
      KAKENHI-PROJECT-18540044
  • [Presentation] Recollement of homotopy categories and Cohen-Macaulay modules2008

    • Author(s)
      加藤希理子
    • Organizer
      Workshop on Representation Theory of Algebra
    • Place of Presentation
      静岡大学
    • Data Source
      KAKENHI-PROJECT-18540044
  • [Presentation] Recollement of Homotopy Category and Cohen-Macaulay Modules2008

    • Author(s)
      加藤 希理子
    • Organizer
      Conference“Commutative Algebra : Connections with algebraic topology and representation theory"
    • Place of Presentation
      米国Nebraska Lincoln大学
    • Year and Date
      2008-05-18
    • Data Source
      KAKENHI-PROJECT-18540044
  • [Presentation] Recollement of Homotopy Category and Cohen-Macaulay Modules2008

    • Author(s)
      加藤 希理子
    • Organizer
      Workshop on representation theory of algebras
    • Place of Presentation
      静岡大学
    • Data Source
      KAKENHI-PROJECT-18540044
  • [Presentation] Recollement of homotopy categories and Cohen-Macaulay modules2008

    • Author(s)
      加藤希理子
    • Organizer
      Commutative Algebra : Connections with Algebraic Topology and Representation Theory
    • Place of Presentation
      米国 Nebraska大学Lincoln校
    • Year and Date
      2008-05-18
    • Data Source
      KAKENHI-PROJECT-18540044
  • [Presentation] Quotient categories of homotopy categories2007

    • Author(s)
      K. Kato
    • Organizer
      the 29th Conference on commutative algebras
    • Place of Presentation
      Nagaya University
    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-16540076
  • [Presentation] Quotient categories of homotopy categories2007

    • Author(s)
      加藤 希理子
    • Organizer
      第29回可換環論シンポジウム
    • Place of Presentation
      名古屋大学
    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-16540076
  • [Presentation] Quotient category of homotopy category2007

    • Author(s)
      Kiriko Kato
    • Organizer
      第29回可換環論シンポジウム
    • Place of Presentation
      愛知県名古屋市
    • Year and Date
      2007-11-21
    • Data Source
      KAKENHI-PROJECT-18540044
  • [Presentation] Quotient Categories of Homotopy Categories2007

    • Author(s)
      加藤 希理子
    • Organizer
      第29回可換環論シンポジウム
    • Place of Presentation
      愛知県名古屋市
    • Year and Date
      2007-11-21
    • Data Source
      KAKENHI-PROJECT-18540044
  • [Presentation] Triangulated categories over rings2007

    • Author(s)
      加藤希理子
    • Organizer
      空間の代数的・幾何的モデルとその周辺
    • Place of Presentation
      信州大学
    • Year and Date
      2007-09-06
    • Data Source
      KAKENHI-PROJECT-18540044
  • [Presentation] Morphisms represented by monomorphisms2006

    • Author(s)
      Kiriko Kato
    • Organizer
      Workshop on triangulated categories
    • Place of Presentation
      英国Leeds大学
    • Year and Date
      2006-08-15
    • Data Source
      KAKENHI-PROJECT-18540044
  • [Presentation] 導来双対とホモトピー圏

    • Author(s)
      加藤 希理子
    • Organizer
      導来双対ワークショップ
    • Place of Presentation
      東京学芸大学
    • Year and Date
      2014-12-22 – 2014-12-23
    • Invited
    • Data Source
      KAKENHI-PROJECT-26400052
  • 1.  IRIE Kouyemon (40151691)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 0 results
  • 2.  YOSHITOMI Kentaro (10305609)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 0 results
  • 3.  O'UCHI Moto (70127885)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 4.  WATANABE Takashi (20089957)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 5.  AIZAWA Naruhiko (70264786)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 6.  ISHIHARA Kazuo (90090563)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 7.  WATAMORI Yoko (70240538)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 8.  YAMAGUCHI Atsushi (80182426)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 9.  MATSUMOTO Kazuko (60239093)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 10.  加藤 希理子 (10291791)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 11.  NAKAOKA Hiroyuki
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 12.  IIMA Kei-ichiro
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 13.  ENOMOTO Haruhisa
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 14.  NAKAMURA Tsutomu
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 15.  MATSUI Hiroki
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 16.  OGAWA Yasuaki
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 17.  KUBO Yuki
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 18.  HIRAYAMA Yukio
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 19.  Jorgensen P.
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 1 results
  • 20.  Christensen L. W.
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 2 results
  • 21.  Iyama Osamu
    # of Collaborated Projects: 0 results
    # of Collaborated Products: 2 results
  • 22.  Miyachi Jun-ichi
    # of Collaborated Projects: 0 results
    # of Collaborated Products: 1 results

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