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

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

Nakajima Yusuke 中嶋 祐介

NAKAJIMA Yusuke 中嶋 祐介

Research Projects

Research Products

Co-Researchers

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

Project Period (FY)

Research Category

Review Section

Research Institution

McKay correspondence and its expansion from the viewpoint of cluster theoryPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Review Section

Research Institution

Studies on singularities using non-commutative resolutionsPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

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

Author(s)

Journal Title

Data Source

[Journal Article] Combinatorial mutations of Newton-Okounkov polytopes arising from plabic graphs2023

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Deformations of Dimer Models2022

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Lower bounds on Hilbert-Kunz multiplicities and maximal F-signatures2022

Author(s)

Journal Title

DOI

Data Source

[Journal Article] On 2-Representation Infinite Algebras Arising From Dimer Models2022

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Generalized F-signatures of Hibi rings2021

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Finite dimensional algebras arising from dimer models and their derived equivalences2019

Author(s)

Journal Title

Data Source

[Journal Article] Non-commutative crepant resolutions of Hibi rings with small class group2019

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Semi-steady non-commutative crepant resolutions via regular dimer models2019

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Conic divisorial ideals of Hibi rings and their applications to non-commutative crepant resolutions2019

Author(s)

Journal Title

DOI

Data Source

[Journal Article] On steady non-commutative crepant resolutions2018

Author(s)

Journal Title

Data Source

[Journal Article] Conic divisorial ideals of Hibi rings and their applications2017

Author(s)

Journal Title

Data Source

[Journal Article] Mutations of Splitting Maximal Modifying Modules: The Case of Reflexive Polygons2017

Nakajima Yusuke 中嶋祐介

NAKAJIMA Yusuke 中嶋祐介