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Ueyama Kenta  上山 健太

ORCIDConnect your ORCID iD *help
Researcher Number 30746409
Other IDs
Affiliation (Current) 2022: 弘前大学, 教育学部, 准教授
Affiliation (based on the past Project Information) *help 2020 – 2022: 弘前大学, 教育学部, 准教授
2015 – 2019: 弘前大学, 教育学部, 講師
Review Section/Research Field
Principal Investigator
Basic Section 11010:Algebra-related / Algebra
Keywords
Principal Investigator
非可換次数付き孤立特異点 / 三角圏 / 非可換代数幾何学 / 非可換超曲面 / 安定圏 / 非可換射影スキーム / 非可換射影空間 / AS-regular algebra / 非可換次数付孤立特異点 / AS-Gorenstein algebra … More / Calabi-Yau algebra / superpotential / 歪射影空間 / グラフ / switching同値類 / twisted Segre product / 非可換曲面 / Cohen-Macaulay加群の安定圏 / 非可換射影超曲面 / 例外列 / Knorrer周期性 / 点スキーム / 非可換行列因子化 / down-up代数 / Hochschild cohomology / AS-Gorenstein代数 / 傾理論 Less
  • Research Projects

    (3 results)
  • Research Products

    (39 results)
  • Co-Researchers

    (2 People)
  •  Tilting theory for Artin-Schelter Gorenstein algebrasPrincipal Investigator

    • Principal Investigator
      上山 健太
    • Project Period (FY)
      2022 – 2025
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Review Section
      Basic Section 11010:Algebra-related
    • Research Institution
      Hirosaki University
  •  非可換射影超曲面の研究Principal Investigator

    • Principal Investigator
      上山 健太
    • Project Period (FY)
      2018 – 2022
    • Research Category
      Grant-in-Aid for Early-Career Scientists
    • Review Section
      Basic Section 11010:Algebra-related
    • Research Institution
      Hirosaki University
  •  Studies of the structure of triangulated categories associated with noncommutative graded isolated singularitiesPrincipal Investigator

    • Principal Investigator
      Ueyama Kenta
    • Project Period (FY)
      2015 – 2017
    • Research Category
      Grant-in-Aid for Young Scientists (B)
    • Research Field
      Algebra
    • Research Institution
      Hirosaki University

All 2022 2021 2020 2019 2018 2017 2016 2015

All Journal Article Presentation

  • [Journal Article] Combinatorial study of stable categories of graded Cohen?Macaulay modules over skew quadric hypersurfaces2022

    • Author(s)
      Akihiro Higashitani and Kenta Ueyama
    • Journal Title

      Collectanea Mathematica

      Volume: ー Pages: 43-54

    • DOI

      10.1007/s13348-020-00306-1

    • Peer Reviewed / Open Access / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-20K03513, KAKENHI-PROJECT-18K13381
  • [Journal Article] Noncommutative matrix factorizations with an application to skew exterior algebras2021

    • Author(s)
      Mori Izuru、Ueyama Kenta
    • Journal Title

      Journal of Algebra

      Volume: 586 Pages: 1053-1087

    • DOI

      10.1016/j.jalgebra.2021.07.012

    • NAID

      120007168231

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20K03510, KAKENHI-PROJECT-18K13381
  • [Journal Article] 歪2次超曲面に付随する三角圏とグラフの変形操作2021

    • Author(s)
      上山健太
    • Journal Title

      第65回代数学シンポジウム報告集

      Volume: - Pages: 56-69

    • Data Source
      KAKENHI-PROJECT-18K13381
  • [Journal Article] A categorical characterization of quantum projective spaces2021

    • Author(s)
      Mori Izuru、Ueyama Kenta
    • Journal Title

      Journal of Noncommutative Geometry

      Volume: 15 Pages: 489-529

    • DOI

      10.4171/jncg/403

    • NAID

      120007168232

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20K03510, KAKENHI-PROJECT-18K13381
  • [Journal Article] Hochschild cohomology related to graded down-up algebras with weights (1,n)2021

    • Author(s)
      Itaba Ayako、Ueyama Kenta
    • Journal Title

      Journal of Algebra and Its Applications

      Volume: online first Pages: 2150131-2150131

    • DOI

      10.1142/s0219498821501310

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18K13397, KAKENHI-PROJECT-18K13381
  • [Journal Article] Hochschild cohomology of Beilinson algebras of graded down-up algebras2020

    • Author(s)
      Ayako Itaba and Kenta Ueyama
    • Journal Title

      Proceedings of the 52nd Symposium on Ring Theory and Representation Theory

      Volume: - Pages: 29-34

    • Data Source
      KAKENHI-PROJECT-18K13381
  • [Journal Article] Noncommutative matrix factorizations and noncommutative Knorrer's periodicity2020

    • Author(s)
      Izuru Mori and Kenta Ueyama
    • Journal Title

      Proceedings of the 52nd Symposium on Ring Theory and Representation Theory

      Volume: - Pages: 73-80

    • Data Source
      KAKENHI-PROJECT-18K13381
  • [Journal Article] The classification of 3-dimensional Noetherian cubic Calabi-Yau algebras2019

    • Author(s)
      Mori Izuru、Ueyama Kenta
    • Journal Title

      J. Pure Appl. Algebra

      Volume: 223 Pages: 1946-1965

    • DOI

      10.1016/j.jpaa.2018.08.009

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-16K05097, KAKENHI-PROJECT-18K13381, KAKENHI-PROJECT-16H03923, KAKENHI-PROJECT-16K13743
  • [Journal Article] On Knorrer periodicity for quadric hypersurfaces in skew projective spaces2019

    • Author(s)
      Kenta Ueyama
    • Journal Title

      Canadian Mathematical Bulletin

      Volume: 62 Pages: 896-911

    • DOI

      10.4153/s0008439518000607

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18K13381
  • [Journal Article] When is an abelian category a quantum projective space?2018

    • Author(s)
      Izuru Mori and Kenta Ueyama
    • Journal Title

      Proceedings of the 50th Symposium on Ring Theory and Representation Theory

      Volume: - Pages: 131-136

    • Open Access
    • Data Source
      KAKENHI-PROJECT-15K17503
  • [Journal Article] 3-dimensional cubic Calabi-Yau algebras and superpotentials2017

    • Author(s)
      Kenta Ueyama
    • Journal Title

      Proceedings of the 49th Symposium on Ring Theory and Representation Theory

      Volume: なし Pages: 155-160

    • Open Access
    • Data Source
      KAKENHI-PROJECT-15K17503
  • [Journal Article] Cluster tilting modules and noncommutative projective schemes2017

    • Author(s)
      Kenta Ueyama
    • Journal Title

      Pacific Journal of Mathematics

      Volume: 289 Pages: 449-468

    • DOI

      10.2140/pjm.2017.289.449

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-15K17503
  • [Journal Article] Stable categories of graded maximal Cohen-Macaulay modules over noncommutative quotient singularities2016

    • Author(s)
      Izuru Mori, Kenta Ueyama
    • Journal Title

      Advances in Mathematics

      Volume: 297 Pages: 54-92

    • DOI

      10.1016/j.aim.2016.04.009

    • Peer Reviewed / Acknowledgement Compliant
    • Data Source
      KAKENHI-PROJECT-16H03923, KAKENHI-PROJECT-25287001, KAKENHI-PROJECT-16K05097, KAKENHI-PROJECT-15K17503
  • [Journal Article] Ample group action on AS-regular algebras and noncommutative graded isolated singularities2016

    • Author(s)
      Izuru Mori and Kenta Ueyama
    • Journal Title

      Transactions of the American Mathematical Society

      Volume: 368 Pages: 7359-7383

    • DOI

      10.1090/tran/6580

    • Peer Reviewed / Acknowledgement Compliant
    • Data Source
      KAKENHI-PROJECT-25400037, KAKENHI-PROJECT-24340004, KAKENHI-PROJECT-15K17503
  • [Journal Article] Tilting objects for noncommutative quotient singularities2016

    • Author(s)
      Izuru Mori and Kenta Ueyama
    • Journal Title

      Proceedings of the 48th Symposium on Ring Theory and Representation Theory

      Volume: なし Pages: 107-113

    • Open Access
    • Data Source
      KAKENHI-PROJECT-15K17503
  • [Journal Article] Noncommutative graded algebras of finite Cohen-Macaulay representation type2015

    • Author(s)
      Kenta Ueyama
    • Journal Title

      Proceedings of the American Mathematical Society

      Volume: 143 Pages: 3703-3715

    • DOI

      10.1090/proc/12527

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-15K17503
  • [Presentation] 非可換射影空間の分類への組合せ論的アプローチ2022

    • Author(s)
      上山健太
    • Organizer
      2021年度日本数学会東北支部会・特別講演
    • Invited
    • Data Source
      KAKENHI-PROJECT-18K13381
  • [Presentation] Triangulated categories associated with skew quadric hypersurfaces2021

    • Author(s)
      上山健太
    • Organizer
      OCAMI代数セミナー
    • Invited
    • Data Source
      KAKENHI-PROJECT-18K13381
  • [Presentation] Classifying (±1)-skew projective spaces via graphs2021

    • Author(s)
      上山健太
    • Organizer
      東京可換環論セミナー
    • Invited
    • Data Source
      KAKENHI-PROJECT-18K13381
  • [Presentation] 歪2次超曲面に付随する三角圏とグラフの変形操作2020

    • Author(s)
      上山健太
    • Organizer
      第65回代数学シンポジウム
    • Invited
    • Data Source
      KAKENHI-PROJECT-18K13381
  • [Presentation] 可換でないときの Knorrer 周期性について2019

    • Author(s)
      上山健太
    • Organizer
      日本数学会2019年度年会
    • Data Source
      KAKENHI-PROJECT-18K13381
  • [Presentation] Noncommutative graded Knorrer's periodicity theorem2019

    • Author(s)
      毛利出,上山健太
    • Organizer
      日本数学会2019年度秋季総合分科会
    • Data Source
      KAKENHI-PROJECT-18K13381
  • [Presentation] Down-up algebraのBeilinson algebraのホッホシルトコホモロジーについて2019

    • Author(s)
      板場綾子,上山健太
    • Organizer
      日本数学会2019年度秋季総合分科会
    • Data Source
      KAKENHI-PROJECT-18K13381
  • [Presentation] Knorrer's periodicity for skew quadric hypersurfaces2019

    • Author(s)
      Kenta Ueyama
    • Organizer
      The Eighth China-Japan-Korea International Symposium on Ring Theory
    • Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-18K13381
  • [Presentation] Stable categories of graded Cohen-Macaulay modules over skew quadric hypersurfaces2019

    • Author(s)
      Kenta Ueyama
    • Organizer
      2019 Noncommutative Algebraic Geometry Shanghai Workshop
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-18K13381
  • [Presentation] 非可換Knorrer 周期性について2019

    • Author(s)
      上山健太
    • Organizer
      第43回神楽坂代数セミナー
    • Invited
    • Data Source
      KAKENHI-PROJECT-18K13381
  • [Presentation] Combinatorial study of stable categories of graded CM modules over skew quadrics2019

    • Author(s)
      Kenta Ueyama
    • Organizer
      名古屋大学環論表現論セミナー
    • Invited
    • Data Source
      KAKENHI-PROJECT-18K13381
  • [Presentation] 非可換射影空間の圏論的特徴付け2018

    • Author(s)
      毛利出、上山健太
    • Organizer
      日本数学会2018年度年会
    • Data Source
      KAKENHI-PROJECT-15K17503
  • [Presentation] 非可換射影空間の圏論的特徴付けについて2018

    • Author(s)
      上山健太
    • Organizer
      第8回(非)可換代数とトポロジー
    • Invited
    • Data Source
      KAKENHI-PROJECT-15K17503
  • [Presentation] Noncommutative projective schemes having a homogeneous coordinate ring of finite global dimension2017

    • Author(s)
      Kenta Ueyama
    • Organizer
      RIMS workshop: Noncommutative Algebraic Geometry and Related Topics
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-15K17503
  • [Presentation] 3-dimensional noetherian cubic Calabi-Yau algebras2017

    • Author(s)
      毛利出,上山健太
    • Organizer
      日本数学会2017年度年会
    • Place of Presentation
      首都大学東京(東京都)
    • Year and Date
      2017-03-24
    • Data Source
      KAKENHI-PROJECT-15K17503
  • [Presentation] An introduction to noncommutative projective schemes 1, 22017

    • Author(s)
      上山健太
    • Organizer
      第23回大和郡山セミナー
    • Invited
    • Data Source
      KAKENHI-PROJECT-15K17503
  • [Presentation] When is an abelian category a quantum projective space?2017

    • Author(s)
      Izuru Mori and Kenta Ueyama
    • Organizer
      The 50th Symposium on Ring Theory and Representation Theory
    • Data Source
      KAKENHI-PROJECT-15K17503
  • [Presentation] Tilting theory for noncommutative quotient singularities2016

    • Author(s)
      毛利出,上山健太
    • Organizer
      日本数学会2016年度年会
    • Place of Presentation
      筑波大学
    • Year and Date
      2016-03-16
    • Data Source
      KAKENHI-PROJECT-15K17503
  • [Presentation] 3-dimensional cubic Calabi-Yau algebras and superpotentials2016

    • Author(s)
      Kenta Ueyama
    • Organizer
      The 49th Symposium on Ring Theory and Representation Theory
    • Place of Presentation
      Osaka Prefecture University (Osaka)
    • Year and Date
      2016-08-31
    • Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-15K17503
  • [Presentation] Graded endomorphism algebras of cluster tilting modules2016

    • Author(s)
      上山健太
    • Organizer
      日本数学会2016年度秋季総合分科会
    • Place of Presentation
      関西大学(大阪府)
    • Year and Date
      2016-09-15
    • Data Source
      KAKENHI-PROJECT-15K17503
  • [Presentation] Stable categories of graded maximal Cohen-Macaulay modules over noncommutative quotient singularities2015

    • Author(s)
      Kenta Ueyama
    • Organizer
      The Seventh China-Japan-Korea International Conference on Ring Theory
    • Place of Presentation
      Zhejiang University of Technology
    • Year and Date
      2015-07-01
    • Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-15K17503
  • [Presentation] Tilting objects for noncommutative quotient singularities2015

    • Author(s)
      Izuru Mori and Kenta Ueyama
    • Organizer
      The 48th Symposium on Ring Theory and Representation Theory
    • Place of Presentation
      Nagoya University
    • Year and Date
      2015-09-07
    • Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-15K17503
  • [Presentation] Cluster tilting modules in noncommutative projective geometry 1, 22015

    • Author(s)
      上山健太
    • Organizer
      第17回静岡代数学セミナー
    • Place of Presentation
      静岡大学
    • Year and Date
      2015-12-18
    • Invited
    • Data Source
      KAKENHI-PROJECT-15K17503
  • 1.  MORI Izuru
    # of Collaborated Projects: 0 results
    # of Collaborated Products: 6 results
  • 2.  東谷 章弘
    # of Collaborated Projects: 0 results
    # of Collaborated Products: 1 results

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