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kuroki shintaro  黒木 慎太郎

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Kuroki Shintaro  黒木 慎太郎

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Researcher Number 90433309
Other IDs
Affiliation (Current) 2025: 岡山理科大学, 理学部, 教授
Affiliation (based on the past Project Information) *help 2022 – 2023: 岡山理科大学, 理学部, 教授
2016 – 2021: 岡山理科大学, 理学部, 准教授
2015: 東京大学, 数理(科)学研究科(研究院), 研究員
Review Section/Research Field
Principal Investigator
Geometry / Basic Section 11020:Geometry-related
Keywords
Principal Investigator
同変コホモロジー / GKMグラフ / GKM多様体 / 群作用の拡張 / トーリックトポロジー / 同変ベクトル束 / トーリック超ケーラー多様体 / トーラス作用 / GKM理論 / Hessenberg多様体 … More / 自己同型群 / 複素二次超曲面 / 複雑性1のトーラス多様体 / orbit closure / 旗Bott多様体 / トーラスオービフォールド / Gale dual / 旗Bott塔 / flag 多様体 / オービフォールド / 変換群論 / ルート系 / 擬トーリック多様体 / コンパクトリー群の作用 / トーラス多様体 / 拡張作用 / 複雑性1のGKM多様体 / 群の作用の拡張 / 複雑性1のトーラス作用 Less
  • Research Projects

    (3 results)
  • Research Products

    (65 results)
  • Co-Researchers

    (1 People)
  •  Combinatorial invariant and topology of T-spaces with extended actionsPrincipal Investigator

    • Principal Investigator
      黒木 慎太郎
    • Project Period (FY)
      2021 – 2025
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Review Section
      Basic Section 11020:Geometry-related
    • Research Institution
      Okayama University of Science
  •  Combinatorial constructions of invariants of manifolds with group actionsPrincipal Investigator

    • Principal Investigator
      Kuroki Shintaro
    • Project Period (FY)
      2017 – 2021
    • Research Category
      Grant-in-Aid for Young Scientists (B)
    • Research Field
      Geometry
    • Research Institution
      Okayama University of Science
  •  Toward the theory of complexity one GKM manifoldsPrincipal Investigator

    • Principal Investigator
      Kuroki Shintaro
    • Project Period (FY)
      2015 – 2016
    • Research Category
      Grant-in-Aid for Young Scientists (B)
    • Research Field
      Geometry
    • Research Institution
      Okayama University of Science
      The University of Tokyo

All 2024 2023 2022 2021 2020 2019 2018 2017 2016 2015 Other

All Journal Article Presentation Other

  • [Journal Article] On a certain condition for the projectivization of a leg bundle to become a GKM graph2024

    • Author(s)
      Shintaro Kuroki
    • Journal Title

      数理科学研究科講究録

      Volume: 2276 Pages: 1-7

    • Data Source
      KAKENHI-PROJECT-21K03262
  • [Journal Article] Equivariant cohomology of torus orbifolds2022

    • Author(s)
      Darby Alastair、Kuroki Shintaro、Song Jongbaek
    • Journal Title

      Canadian Journal of Mathematics

      Volume: 74 Issue: 2 Pages: 299-328

    • DOI

      10.4153/s0008414x20000760

    • Peer Reviewed / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-17K14196, KAKENHI-PROJECT-21K03262
  • [Journal Article] Equivariant cohomology of complex quadrics from a combinatorial point of view2022

    • Author(s)
      Shintaro Kuroki
    • Journal Title

      数理解析研究所講究録

      Volume: 2231 Pages: 85-99

    • Open Access
    • Data Source
      KAKENHI-PROJECT-21K03262
  • [Journal Article] Vector bundle over a GKM graph and combinatorial Borel-Hirzebruch formula and Leray-Hirsh theorem2021

    • Author(s)
      Shintaro Kuroki
    • Journal Title

      数理解析研究所講究録

      Volume: 2199 Pages: 42-52

    • NAID

      40022811184

    • Data Source
      KAKENHI-PROJECT-21K03262
  • [Journal Article] Vector bundle over a GKM graph and combinatorial Borel-Hirzebruch formula and Leray-Hirsh theorem2021

    • Author(s)
      Shintaro Kuroki
    • Journal Title

      数理解析研究所講究録

      Volume: 2199 Pages: 42-52

    • NAID

      40022811184

    • Data Source
      KAKENHI-PROJECT-17K14196
  • [Journal Article] Flag Bott manifolds of general Lie type and their equivariant cohomology rings2020

    • Author(s)
      Kaji Shizuo、Kuroki Shintaro、Lee Eunjeong、Suh Dong Youp
    • Journal Title

      Homology, Homotopy and Applications

      Volume: 22 Issue: 1 Pages: 375-390

    • DOI

      10.4310/hha.2020.v22.n1.a21

    • Peer Reviewed / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-18K03304, KAKENHI-PROJECT-17K14196
  • [Journal Article] On equivariant cohomology rings of flag Bott towers2019

    • Author(s)
      Shintaro Kuroki
    • Journal Title

      数理解析研究所講究録

      Volume: 2135 Pages: 95-107

    • NAID

      40022147360

    • Data Source
      KAKENHI-PROJECT-17K14196
  • [Journal Article] Upper bounds for the dimension of tori acting on GKM manifolds2019

    • Author(s)
      Shintaro Kuroki
    • Journal Title

      Journal of the Mathematical Society of Japan

      Volume: 71-2 Pages: 483-513

    • NAID

      130007636387

    • Peer Reviewed / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-17K14196
  • [Journal Article] Torus orbifolds with two fixed points2019

    • Author(s)
      Alastair Darby, Shintaro Kuroki and Jongbaek Song
    • Journal Title

      Algebraic Topology and Related Topics, Trends in Mathematics

      Volume: 1 Pages: 67-85

    • DOI

      10.1007/978-981-13-5742-8_5

    • ISBN
      9789811357411, 9789811357428
    • Peer Reviewed / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-17K14196
  • [Journal Article] Gale dual of the GKM graph with a complexity one axial function2019

    • Author(s)
      Shintaro Kuroki and Ryoto Yukitou
    • Journal Title

      岡山理科大学紀要. A, 自然科学

      Volume: 55 Pages: 1-10

    • NAID

      120006778794

    • Data Source
      KAKENHI-PROJECT-17K14196
  • [Journal Article] Quasitoric manifolds, root systems and J-constructions of polytopes2018

    • Author(s)
      Shintaro Kuroki
    • Journal Title

      RIMS Kokyuroku

      Volume: 2060 Pages: 77-81

    • Open Access
    • Data Source
      KAKENHI-PROJECT-17K14196
  • [Journal Article] Projective bundles over small covers and the budle triviality problem2017

    • Author(s)
      Shintaro Kuroki and Zhi Lu
    • Journal Title

      Forum Mathematicum

      Volume: 未定 Issue: 4 Pages: 761-781

    • DOI

      10.1515/forum-2015-0007

    • Peer Reviewed / Acknowledgement Compliant / Open Access / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-15K17531
  • [Journal Article] Flagified Bott manifolds and their maximal torus actions2017

    • Author(s)
      Shintaro Kuroki
    • Journal Title

      数理解析研究所講究録

      Volume: 2016

    • Acknowledgement Compliant / Open Access
    • Data Source
      KAKENHI-PROJECT-15K17531
  • [Journal Article] An Orlik-Raymond type classification of simply connected 6-dimensional torus manifolds with vanishing odd degree cohomology2016

    • Author(s)
      Shintaro Kuroki
    • Journal Title

      Pacific Journal of Mathematics

      Volume: 280 Issue: 1 Pages: 89-114

    • DOI

      10.2140/pjm.2016.280.89

    • Peer Reviewed / Acknowledgement Compliant
    • Data Source
      KAKENHI-PROJECT-15K17531
  • [Journal Article] Classification of effective GKM graphs with combinatorial type $K_{4}$2016

    • Author(s)
      Shintaro Kuroki
    • Journal Title

      The Bulletin of the Okayama University of Science

      Volume: 52 Pages: 7-15

    • Acknowledgement Compliant
    • Data Source
      KAKENHI-PROJECT-15K17531
  • [Journal Article] A remark on torus graph with root systems of type A2015

    • Author(s)
      Shintaro Kuroki
    • Journal Title

      数理解析研究所講究録

      Volume: 1968 Pages: 55-59

    • Acknowledgement Compliant / Open Access
    • Data Source
      KAKENHI-PROJECT-15K17531
  • [Presentation] トーリックトポロジー入門2024

    • Author(s)
      黒木慎太郎
    • Organizer
      岡山理科大学研究者交流会(ポスター発表)
    • Data Source
      KAKENHI-PROJECT-21K03262
  • [Presentation] Equivariant cohomology of even-dimensional complex quadrics from a combinatorial point of view2024

    • Author(s)
      Shintaro Kuroki
    • Organizer
      TGTC Workshop 2024 in Himeji
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-21K03262
  • [Presentation] Equivariant cohomology of even-dimensional complex quadrics from a combinatorial point of view2024

    • Author(s)
      Shintaro Kuroki
    • Organizer
      Seminaire Algebre et topologie at IRMA (Strasbourg University)
    • Invited
    • Data Source
      KAKENHI-PROJECT-21K03262
  • [Presentation] Orlik-Raymond type classification of simply connected 6-dimensional torus manifolds with vanishing odd degree cohomology2023

    • Author(s)
      黒木慎太郎
    • Organizer
      日本数学会2022年度春季総合分科会(一般講演)
    • Data Source
      KAKENHI-PROJECT-21K03262
  • [Presentation] トーリックトポロジー入門2023

    • Author(s)
      黒木慎太郎
    • Organizer
      信州大学集中講義(3日間)
    • Invited
    • Data Source
      KAKENHI-PROJECT-21K03262
  • [Presentation] 2,3,n-independency of tangential weights of G/K2023

    • Author(s)
      黒木慎太郎
    • Organizer
      The 5th workshop on the Hessenberg variety
    • Invited
    • Data Source
      KAKENHI-PROJECT-21K03262
  • [Presentation] On a certain condition for the projectivization of a leg bundle to become a GKM graph2023

    • Author(s)
      Shintaro Kuroki
    • Organizer
      RIMS meeting 2023, Geometry and topology of transformation groups
    • Invited
    • Data Source
      KAKENHI-PROJECT-21K03262
  • [Presentation] Equivariant cohomology of even-dimensional complex quadrics from combinatorial viewpoint2023

    • Author(s)
      Shintaro Kuroki
    • Organizer
      Interactions between symplectic geometry, combinatorics and number theory (14722.0073) or The "ColMar" Interactions
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-21K03262
  • [Presentation] Classification of locally standard torus actions2023

    • Author(s)
      Shintaro Kuroki
    • Organizer
      Building-up differential homotopy theory in Aizu 2023
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-21K03262
  • [Presentation] Classification of 6 and 8-dimensional complexity one GKM manifolds with Sp(2)-extended actions2023

    • Author(s)
      Shintaro Kuroki
    • Organizer
      Himeji seminar on geometry of torus actions 2023
    • Invited
    • Data Source
      KAKENHI-PROJECT-21K03262
  • [Presentation] Equivariant cohomology of torus orbifolds2022

    • Author(s)
      黒木慎太郎
    • Organizer
      日本数学会2022年度秋季総合分科会(一般講演)
    • Data Source
      KAKENHI-PROJECT-21K03262
  • [Presentation] GKM graph with legs and graph equivariant cohomology2022

    • Author(s)
      黒木慎太郎
    • Organizer
      東大数理火曜トポロジーセミナー
    • Invited
    • Data Source
      KAKENHI-PROJECT-21K03262
  • [Presentation] Equivariant cohomology of complex quadrics from combinatorial point of view2022

    • Author(s)
      黒木慎太郎
    • Organizer
      RIMS共同研究 : 変換群論の新潮流
    • Invited
    • Data Source
      KAKENHI-PROJECT-21K03262
  • [Presentation] Equivariant vector bundles from a GKM theoretical point of view2021

    • Author(s)
      Shintaro Kuroki
    • Organizer
      RIMS meeting 2021 New developments of transformation groups
    • Invited
    • Data Source
      KAKENHI-PROJECT-21K03262
  • [Presentation] Equivariant vector bundle over a GKM graph and its projectivization2021

    • Author(s)
      Shintaro Kuroki
    • Organizer
      kpa70+ Transformation group theory --The path we have walked along, and the way to progress-- On the celebration for the retirement and the 70th birthday of Professor Krzystof M. Pawalowski
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-17K14196
  • [Presentation] Equivariant vector bundles from a GKM theoretical point of view2021

    • Author(s)
      Shintaro Kuroki
    • Organizer
      RIMS meeting 2021, New developments of transformation groups
    • Invited
    • Data Source
      KAKENHI-PROJECT-17K14196
  • [Presentation] Gale dual of GKM graph2020

    • Author(s)
      Shintaro Kuroki
    • Organizer
      Workshop on Torus Actions in Topology
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-17K14196
  • [Presentation] Gale dual of a GKM graph and its application to the extension problem of torus actions2020

    • Author(s)
      Shintaro Kuroki
    • Organizer
      International conference Topology and geometry of group actions
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-17K14196
  • [Presentation] On equivariant cohomology rings of flag Bott towers2019

    • Author(s)
      黒木慎太郎
    • Organizer
      変換群論とその応用
    • Invited
    • Data Source
      KAKENHI-PROJECT-17K14196
  • [Presentation] Gale dual of the GKM graph and its applications to the extension of the torus action on a GKM manifold2019

    • Author(s)
      Shintaro Kuroki
    • Organizer
      The 46th Symposium on Transformation Groups
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-17K14196
  • [Presentation] ヒルベルト第三問題について2019

    • Author(s)
      黒木慎太郎
    • Organizer
      Workshop on Geometric Discrete Mathematical Science III
    • Invited
    • Data Source
      KAKENHI-PROJECT-17K14196
  • [Presentation] Flag Bott manifolds of general Lie type and their equivariant cohomology rings2019

    • Author(s)
      Shintaro Kuroki
    • Organizer
      Topology, Geometry, and Dynamics: Rokhlin - 100
    • Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-17K14196
  • [Presentation] Gale dual of a GKM graph and its basic property2019

    • Author(s)
      Shintaro Kuroki
    • Organizer
      Japanese-Russian Seminar on Toric Topology and Homotopy Theory
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-17K14196
  • [Presentation] Equivariant cohomology of torus orbifolds with vanishing odd degree cohomology2018

    • Author(s)
      Shintaro Kuroki
    • Organizer
      Glances at Manifolds 2018
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-17K14196
  • [Presentation] Equivariant cohomology of torus orbifolds2018

    • Author(s)
      Shintaro Kuroki
    • Organizer
      第45回変換群論シンポジウム
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-17K14196
  • [Presentation] GKM manifold and GKM graph (1), (2)2017

    • Author(s)
      黒木慎太郎
    • Organizer
      空間の代数的・幾何的モデルとその周辺
    • Invited
    • Data Source
      KAKENHI-PROJECT-17K14196
  • [Presentation] Complexity one GKM manifolds with extended actions2017

    • Author(s)
      Shintaro Kuroki
    • Organizer
      Toric Topology 2017 in Osaka
    • Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-17K14196
  • [Presentation] Extended actions of quasitoric manifolds and J-constructions of polytopes2017

    • Author(s)
      Shintaro Kuroki
    • Organizer
      The Princeton-Rider Workshop on the Homotopy Theory of Polyhedral Products
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-17K14196
  • [Presentation] Equivariant cohomology of a certain class of torus orbifolds2017

    • Author(s)
      Shintaro Kuroki
    • Organizer
      7th East Asian Conference on Algebraic Topology (EACAT7)
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-17K14196
  • [Presentation] Flag Bott manifolds and the toric closure of generic orbit associated to a generalized Bott manifold2017

    • Author(s)
      黒木慎太郎
    • Organizer
      第44回変換群論シンポジウム
    • Invited
    • Data Source
      KAKENHI-PROJECT-17K14196
  • [Presentation] Classification of GKM graphs with combinatorial type $K_{4}$2017

    • Author(s)
      Shintaro Kuroki
    • Organizer
      STM09 Mini-workshop in Okayama
    • Place of Presentation
      岡山理科大学
    • Invited
    • Data Source
      KAKENHI-PROJECT-15K17531
  • [Presentation] Quasitoric manifolds, root systems and J-constructions of polytopes2017

    • Author(s)
      黒木慎太郎
    • Organizer
      RIMS共同研究(公開型)変換群を核とする代数的位相幾何学
    • Invited
    • Data Source
      KAKENHI-PROJECT-17K14196
  • [Presentation] Equivariant cohomology of torus orbifolds2017

    • Author(s)
      黒木慎太郎
    • Organizer
      代数トポロジーセミナー(京都大学)
    • Invited
    • Data Source
      KAKENHI-PROJECT-17K14196
  • [Presentation] On flagged Bott manifolds2017

    • Author(s)
      Shintaro Kuroki
    • Organizer
      Young Researchers in Homotopy Theory and Toric Topology
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-17K14196
  • [Presentation] A remark on root systems and J-constructions of quasitoric manifolds2016

    • Author(s)
      Shintaro Kuroki
    • Organizer
      Toric Topology 2016 in Kagoshima
    • Place of Presentation
      Kagoshima University
    • Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-15K17531
  • [Presentation] Flagified Bott manifolds and their maximal torus actions2016

    • Author(s)
      Shintaro Kuroki
    • Organizer
      RIMS研究集会 新しい変換群論とその周辺
    • Place of Presentation
      数理解析研究所
    • Data Source
      KAKENHI-PROJECT-15K17531
  • [Presentation] Cohomological non-rigidity of eight-dimensional complex projective towers2016

    • Author(s)
      Shintaro Kuroki
    • Organizer
      日本数学会2016年度秋季総合分科会
    • Place of Presentation
      関西大学
    • Data Source
      KAKENHI-PROJECT-15K17531
  • [Presentation] A partial classification of complexity one GKM manifolds with large symmetries2016

    • Author(s)
      Shintaro Kuroki
    • Organizer
      Group actions and topology
    • Place of Presentation
      城崎福祉会館
    • Invited
    • Data Source
      KAKENHI-PROJECT-15K17531
  • [Presentation] トーリックトポロジーからの話題2015

    • Author(s)
      黒木慎太郎
    • Organizer
      無限群と幾何学の周辺
    • Place of Presentation
      東京大学玉原国際セミナーハウス
    • Year and Date
      2015-07-11
    • Data Source
      KAKENHI-PROJECT-15K17531
  • [Presentation] An obstruction to the extension of a torus action on a GKM manifold2015

    • Author(s)
      Shintaro Kuroki
    • Organizer
      Glances@Manifolds low-&-high-dimensional
    • Place of Presentation
      Jagiellonian University
    • Year and Date
      2015-07-17
    • Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-15K17531
  • [Presentation] On a maximal torus which acts on a GKM-manifold2015

    • Author(s)
      Shintaro Kuroki
    • Organizer
      葉層構造と微分同相群 2015 研究集会
    • Place of Presentation
      東京大学玉原国際セミナーハウス
    • Year and Date
      2015-10-26
    • Data Source
      KAKENHI-PROJECT-15K17531
  • [Presentation] On a maximal torus which acts on a GKM-manifold2015

    • Author(s)
      Shintaro Kuroki
    • Organizer
      International conference Toric Topology, Number Theory and Applications
    • Place of Presentation
      Pacific National University
    • Year and Date
      2015-09-06
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-15K17531
  • [Presentation] Root systems and symmetries of torus manifolds2015

    • Author(s)
      黒木慎太郎
    • Organizer
      RIMS研究集会「幾何学・組合せ論に現れる環と代数構造」
    • Place of Presentation
      数理解析研究所
    • Year and Date
      2015-06-09
    • Invited
    • Data Source
      KAKENHI-PROJECT-15K17531
  • [Presentation] On a maximal dimension of the torus which acts on a GKM-manifold effectively2015

    • Author(s)
      Shintaro Kuroki
    • Organizer
      Combinatorial Constructions in Topology
    • Place of Presentation
      University of Regina
    • Year and Date
      2015-08-17
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-15K17531
  • [Presentation] A remark on torus graphs with root systems2015

    • Author(s)
      Shintaro Kuroki
    • Organizer
      RIMS研究集会「新しい変換群論の幾何」
    • Place of Presentation
      数理解析研究所
    • Year and Date
      2015-05-25
    • Data Source
      KAKENHI-PROJECT-15K17531
  • [Presentation] On extended actions of complexity one torus manifolds2015

    • Author(s)
      Shintaro Kuroki
    • Organizer
      Toric Topology 2015 in Osaka
    • Place of Presentation
      大阪市立大学
    • Year and Date
      2015-06-16
    • Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-15K17531
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  • 1.  KAJI Shizuo
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