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Nakajima Yusuke  中嶋 祐介

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NAKAJIMA Yusuke  中嶋 祐介

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Researcher Number 20783096
Other IDs
Affiliation (Current) 2025: 京都産業大学, 理学部, 准教授
Affiliation (based on the past Project Information) *help 2024: 京都産業大学, 理学部, 准教授
2020 – 2023: 京都産業大学, 理学部, 助教
2017 – 2019: 東京大学, カブリ数物連携宇宙研究機構, 特任研究員
Review Section/Research Field
Principal Investigator
Basic Section 11010:Algebra-related / Algebra
Keywords
Principal Investigator
トーリック特異点 / 団理論 / ダイマー模型 / 非可換クレパント特異点解消 / クレパント特異点解消 / 変異 / 極大Cohen-Macaulay加群 / 非可換特異点解消 / トーリック多様体 / トーリック退化 … More / グラスマン多様体 / 組合せ的変異 / modifying加群 / 箙の表現 / cDV特異点 / 安定性条件 / 団理論・団傾理論 / マッカイ対応 / 特異点 / 団傾加群 / Cohen-Macaulay加群 / カラビ・ヤウ代数 / 無限表現型代数 / 傾理論 / 正標数の可換環論 / 日比環 / トーリック環 Less
  • Research Projects

    (3 results)
  • Research Products

    (52 results)
  • Co-Researchers

    (1 People)
  •  非可換代数を用いたトーリック特異点とその特異点解消の研究Principal Investigator

    • Principal Investigator
      中嶋 祐介
    • Project Period (FY)
      2024 – 2027
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Review Section
      Basic Section 11010:Algebra-related
    • Research Institution
      Kyoto Sangyo University
  •  McKay correspondence and its expansion from the viewpoint of cluster theoryPrincipal Investigator

    • Principal Investigator
      Nakajima Yusuke
    • Project Period (FY)
      2020 – 2023
    • Research Category
      Grant-in-Aid for Early-Career Scientists
    • Review Section
      Basic Section 11010:Algebra-related
    • Research Institution
      Kyoto Sangyo University
  •  Studies on singularities using non-commutative resolutionsPrincipal Investigator

    • Principal Investigator
      NAKAJIMA Yusuke
    • Project Period (FY)
      2017 – 2020
    • Research Category
      Grant-in-Aid for Young Scientists (B)
    • Research Field
      Algebra
    • Research Institution
      Kyoto Sangyo University
      The University of Tokyo

All 2024 2023 2022 2021 2020 2019 2018 2017

All Journal Article Presentation

  • [Journal Article] Wall-and-chamber structures of stability parameters for some dimer quivers2024

    • Author(s)
      Yusuke Nakajima
    • Journal Title

      The proceedings of the 55th Symposium on Ring Theory and Representation Theory

      Volume: - Pages: 58-65

    • Open Access
    • Data Source
      KAKENHI-PROJECT-20K14279
  • [Journal Article] Combinatorial mutations of Newton-Okounkov polytopes arising from plabic graphs2023

    • Author(s)
      Akihiro Higashitani, Yusuke Nakajima
    • Journal Title

      Advanced Studies in Pure Mathematics, McKay Correspondence, Mutation and Related Topics

      Volume: 88 Pages: 227-278

    • DOI

      10.2969/aspm/08810227

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20K14279
  • [Journal Article] Deformations of Dimer Models2022

    • Author(s)
      Higashitani Akihiro、Osaka University, Japan、Nakajima Yusuke、Kyoto Sangyo University, Japan
    • Journal Title

      Symmetry, Integrability and Geometry: Methods and Applications

      Volume: 18

    • DOI

      10.3842/sigma.2022.030

    • Peer Reviewed / Open Access
    • Data Source
      KAKENHI-PROJECT-20K03513, KAKENHI-PROJECT-20K14279, KAKENHI-PROJECT-18H01134
  • [Journal Article] Lower bounds on Hilbert-Kunz multiplicities and maximal F-signatures2022

    • Author(s)
      JACK JEFFRIES, YUSUKE NAKAJIMA, ILYA SMIRNOV, KEI-ICHI WATANABE , KEN-ICHI YOSHIDA
    • Journal Title

      Mathematical Proceedings of the Cambridge Philosophical Society

      Volume: 174 Issue: 2 Pages: 247-271

    • DOI

      10.1017/s0305004122000238

    • Peer Reviewed / Open Access / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-20K14279, KAKENHI-PROJECT-20K03522, KAKENHI-PROJECT-19K03430
  • [Journal Article] On 2-Representation Infinite Algebras Arising From Dimer Models2022

    • Author(s)
      Yusuke Nakajima
    • Journal Title

      The Quarterly Journal of Mathematics

      Volume: 73 Issue: 4 Pages: 1517-1553

    • DOI

      10.1093/qmath/haac016

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20K14279
  • [Journal Article] Generalized F-signatures of Hibi rings2021

    • Author(s)
      Akihiro Higashitani, Yusuke Nakajima
    • Journal Title

      Illinois Journal of Mathematics

      Volume: 65 Issue: 1 Pages: 97-120

    • DOI

      10.1215/00192082-8827655

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20K14279, KAKENHI-PROJECT-17K14159
  • [Journal Article] Finite dimensional algebras arising from dimer models and their derived equivalences2019

    • Author(s)
      Yusuke Nakajima
    • Journal Title

      第51回環論および表現論シンポジウム報告集

      Volume: - Pages: 104-109

    • Open Access
    • Data Source
      KAKENHI-PROJECT-17K14159
  • [Journal Article] Non-commutative crepant resolutions of Hibi rings with small class group2019

    • Author(s)
      Yusuke Nakajima
    • Journal Title

      Journal of Pure and Applied Algebra

      Volume: 223 Issue: 8 Pages: 3461-3484

    • DOI

      10.1016/j.jpaa.2018.11.012

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17K14159
  • [Journal Article] Semi-steady non-commutative crepant resolutions via regular dimer models2019

    • Author(s)
      Yusuke Nakajima
    • Journal Title

      Algebraic Combinatorics

      Volume: 2 Issue: 2 Pages: 173-195

    • DOI

      10.5802/alco.39

    • Peer Reviewed / Open Access
    • Data Source
      KAKENHI-PROJECT-17K14159
  • [Journal Article] Conic divisorial ideals of Hibi rings and their applications to non-commutative crepant resolutions2019

    • Author(s)
      Akihiro Higashitani, Yusuke Nakajima
    • Journal Title

      Selecta Mathematica New Series

      Volume: 25 Issue: 5 Pages: 1-25

    • DOI

      10.1007/s00029-019-0523-6

    • Peer Reviewed / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-17K14159, KAKENHI-PROJECT-17K14177
  • [Journal Article] On steady non-commutative crepant resolutions2018

    • Author(s)
      Osamu Iyama and Yusuke Nakajima
    • Journal Title

      Journal of Noncommutative Geometry (掲載予定)

      Volume: 印刷中

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17K14159
  • [Journal Article] Conic divisorial ideals of Hibi rings and their applications2017

    • Author(s)
      Yusuke Nakajima
    • Journal Title

      第62回代数学シンポジウム報告集

      Volume: -

    • Open Access
    • Data Source
      KAKENHI-PROJECT-17K14159
  • [Journal Article] Mutations of Splitting Maximal Modifying Modules: The Case of Reflexive Polygons2017

    • Author(s)
      Yusuke Nakajima
    • Journal Title

      International Mathematics Research Notices

      Volume: - Issue: 2 Pages: 470-550

    • DOI

      10.1093/imrn/rnx114

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17K14159
  • [Presentation] New examples of toric NCCRs arising from conic modules2024

    • Author(s)
      Yusuke Nakajima
    • Organizer
      正標数の可換環論とその周辺2024 in 淡路島
    • Invited
    • Data Source
      KAKENHI-PROJECT-20K14279
  • [Presentation] Wall-and-chamber structures for algebras associated to toric cDV singularities2024

    • Author(s)
      Yusuke Nakajima
    • Organizer
      南大阪代数セミナー
    • Invited
    • Data Source
      KAKENHI-PROJECT-20K14279
  • [Presentation] Mutations and wall-crossings for dimer models associated to toric cDV singularities2024

    • Author(s)
      Yusuke Nakajima
    • Organizer
      Advances in Cluster Algebras 2024
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-20K14279
  • [Presentation] Wall-and-chamber structures of stability parameters for some dimer quivers2023

    • Author(s)
      Yusuke Nakajima
    • Organizer
      第55回環論および表現論シンポジウム
    • Data Source
      KAKENHI-PROJECT-20K14279
  • [Presentation] Dimer models in representation theory (Gong show talk)2023

    • Author(s)
      Yusuke Nakajima
    • Organizer
      Silting in Representation Theory, Singularities, and Noncommutative Geometry
    • Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-20K14279
  • [Presentation] Projective crepant resolutions of toric cDV singularities and dimer combinatorics2023

    • Author(s)
      Yusuke Nakajima
    • Organizer
      McKay correspondence, Tilting theory and related topics
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-20K14279
  • [Presentation] Dimer combinatorics for toric cDV singularities2023

    • Author(s)
      Yusuke Nakajima
    • Organizer
      特異点論月曜セミナー
    • Invited
    • Data Source
      KAKENHI-PROJECT-20K14279
  • [Presentation] On crepant resolutions of toric cDV singularities2023

    • Author(s)
      Yusuke Nakajima
    • Organizer
      東京可換環論セミナー
    • Invited
    • Data Source
      KAKENHI-PROJECT-20K14279
  • [Presentation] Dimer combinatorics for 3-dimensional toric hypersurfaces2022

    • Author(s)
      Yusuke Nakajima
    • Organizer
      IPMU特異点セミナー
    • Data Source
      KAKENHI-PROJECT-20K14279
  • [Presentation] The Homological MMP for three dimensional toric hypersurfaces2022

    • Author(s)
      Yusuke Nakajima
    • Organizer
      可換環論の新しい融合セミナーII
    • Invited
    • Data Source
      KAKENHI-PROJECT-20K14279
  • [Presentation] Representation theory of algebras arising from dimer models2021

    • Author(s)
      Yusuke Nakajima
    • Organizer
      OCAMI代数セミナー
    • Invited
    • Data Source
      KAKENHI-PROJECT-20K14279
  • [Presentation] Representation theory of algebras arising from dimer models2021

    • Author(s)
      Yusuke Nakajima
    • Organizer
      OCAMI代数セミナー
    • Invited
    • Data Source
      KAKENHI-PROJECT-17K14159
  • [Presentation] Combinatorial mutations and deformations of dimer models2021

    • Author(s)
      Yusuke Nakajima
    • Organizer
      Nottingham University, Online Algebraic Geometry Seminar
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-20K14279
  • [Presentation] Combinatorial mutations of polytopes arising from plabic graphs2021

    • Author(s)
      Yusuke Nakajima
    • Organizer
      Infinite Analysis 21 Workshop Around Cluster Algebras
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-20K14279
  • [Presentation] Combinatorial mutations of polygons via dimer models2020

    • Author(s)
      Yusuke Nakajima
    • Organizer
      McKay correspondence, mutation and related topics
    • Invited
    • Data Source
      KAKENHI-PROJECT-17K14159
  • [Presentation] Combinatorial mutations of polygons via dimer models2020

    • Author(s)
      Yusuke Nakajima
    • Organizer
      McKay correspondence, mutation and related topics
    • Invited
    • Data Source
      KAKENHI-PROJECT-20K14279
  • [Presentation] On non-commutative crepant resolutions of toric singularities2020

    • Author(s)
      Yusuke Nakajima
    • Organizer
      阪大オンライン代数幾何学セミナー
    • Invited
    • Data Source
      KAKENHI-PROJECT-17K14159
  • [Presentation] On non-commutative crepant resolutions of toric singularities2020

    • Author(s)
      Yusuke Nakajima
    • Organizer
      阪大オンライン代数幾何学セミナー
    • Invited
    • Data Source
      KAKENHI-PROJECT-20K14279
  • [Presentation] On generalized cluster categories associated to dimer models (poster presentation)2019

    • Author(s)
      Yusuke Nakajima
    • Organizer
      Cluster Algebras 2019
    • Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-17K14159
  • [Presentation] Singularities having large F-signatures2019

    • Author(s)
      Yusuke Nakajima
    • Organizer
      特異点論月曜セミナー
    • Data Source
      KAKENHI-PROJECT-17K14159
  • [Presentation] Conic modules of toric rings and some applications to non-commutative resolutions2019

    • Author(s)
      Yusuke Nakajima
    • Organizer
      東大可換環論セミナー
    • Invited
    • Data Source
      KAKENHI-PROJECT-17K14159
  • [Presentation] On deformations of dimer models2019

    • Author(s)
      Yusuke Nakajima
    • Organizer
      Mutations: Mirror Symmetry, Deformations, and Combinatorics
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-17K14159
  • [Presentation] On stable categories of maximal Cohen-Macaulay modules of 3-dimensional Gorenstein toric rings2019

    • Author(s)
      Yusuke Nakajima
    • Organizer
      AMS Spring Central and Western Sectional Meeting : Special Session on Commutative Algebra
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-17K14159
  • [Presentation] On Frobenius push-forward of Hibi rings2019

    • Author(s)
      Yusuke Nakajima
    • Organizer
      Frobenius action in Commutative algebra: Recent Developments
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-17K14159
  • [Presentation] On Frobenius push-forward of Hibi rings2019

    • Author(s)
      Yusuke Nakajima
    • Organizer
      Commutative Algebra and Lattice Polytopes
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-17K14159
  • [Presentation] On non-commutative crepant resolutions for some toric rings2018

    • Author(s)
      Yusuke Nakajima
    • Organizer
      String-Math 2018
    • Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-17K14159
  • [Presentation] McKay-type correspondence for three dimensional Gorenstein toric singularities2018

    • Author(s)
      Yusuke Nakajima
    • Organizer
      特異点論月曜セミナー
    • Data Source
      KAKENHI-PROJECT-17K14159
  • [Presentation] Non-commutative crepant resolutions of some toric rings2018

    • Author(s)
      Yusuke Nakajima
    • Organizer
      Higher homological algebra and cluster tilting
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-17K14159
  • [Presentation] Representation theory of three dimensional Gorenstein toric singularities2018

    • Author(s)
      Yusuke Nakajima
    • Organizer
      Workshop on McKay correspondence and noncommutative algebra
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-17K14159
  • [Presentation] Finite dimensional algebras arising from dimer models and their derived equivalences2018

    • Author(s)
      Yusuke Nakajima
    • Organizer
      第51回環論および表現論シンポジウム
    • Data Source
      KAKENHI-PROJECT-17K14159
  • [Presentation] McKay-type correspondence for three dimensional Gorenstein toric singularities2018

    • Author(s)
      Yusuke Nakajima
    • Organizer
      京都大学代数幾何学セミナー
    • Invited
    • Data Source
      KAKENHI-PROJECT-17K14159
  • [Presentation] On the Frobenius push-forward of Hibi rings2017

    • Author(s)
      Yusuke Nakajima
    • Organizer
      第39回可換環論シンポジウム
    • Data Source
      KAKENHI-PROJECT-17K14159
  • [Presentation] Conic divisorial ideals of Hibi rings2017

    • Author(s)
      Yusuke Nakajima
    • Organizer
      特異点論月曜セミナー
    • Data Source
      KAKENHI-PROJECT-17K14159
  • [Presentation] Non-commutative crepant resolutions for some Hibi rings2017

    • Author(s)
      Yusuke Nakajima
    • Organizer
      Noncommutative Algebraic Geometry and Related Topics
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-17K14159
  • [Presentation] Non-commutative crepant resolutions for some Hibi rings (ポスター発表)2017

    • Author(s)
      Yusuke Nakajima
    • Organizer
      Matrix factorizations and related topics
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-17K14159
  • [Presentation] Non-commutative crepant resolutions for some Hibi rings2017

    • Author(s)
      Yusuke Nakajima
    • Organizer
      名古屋大学 環論表現論セミナー
    • Data Source
      KAKENHI-PROJECT-17K14159
  • [Presentation] Conic divisorial ideals of Hibi rings and their applications2017

    • Author(s)
      Yusuke Nakajima
    • Organizer
      第62回代数学シンポジウム
    • Invited
    • Data Source
      KAKENHI-PROJECT-17K14159
  • [Presentation] Non-commutative crepant resolutions for some toric singularities2017

    • Author(s)
      Yusuke Nakajima
    • Organizer
      特異点論月曜セミナー
    • Data Source
      KAKENHI-PROJECT-17K14159
  • [Presentation] Several algebras arising from dimer models2017

    • Author(s)
      Yusuke Nakajima
    • Organizer
      第21回静岡代数学セミナー
    • Invited
    • Data Source
      KAKENHI-PROJECT-17K14159
  • 1.  東谷 章弘
    # of Collaborated Projects: 0 results
    # of Collaborated Products: 1 results

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