Ueyama Kenta 上山健太

Researcher Number	30746409
Other IDs
Affiliation (Current)	2025: 信州大学, 学術研究院理学系, 准教授
Affiliation (based on the past Project Information) *help	2023: 信州大学, 学術研究院理学系, 准教授 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 非可換超曲面 / Cohen-Macaulay加群の安定圏 / 非可換代数幾何学 / 非可換射影スキーム / 三角圏 / 非可換次数付き孤立特異点 / 特異圏 / Cohen-Macaulay加群 / 傾理論 / AS-Gorenstein代数 … More / Hochschild cohomology / down-up代数 / 点スキーム / Knorrer周期性 / 例外列 / 非可換曲面 / twisted Segre product / switching同値類 / グラフ / 歪射影空間 / twist / Knoerrer周期性 / 非可換行列因子化 / 非可換射影超曲面 / superpotential / Calabi-Yau algebra / AS-Gorenstein algebra / 非可換次数付孤立特異点 / AS-regular algebra / 非可換射影空間 / 安定圏 Less

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
  Shinshu University
  Hirosaki University
A study of noncommutative projective hypersurfacesPrincipal Investigator
- Principal Investigator
  
  Ueyama Kenta
- 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 2024 2023 2022 2021 2020 2019 2018 2017 2016 2015

All Journal Article Presentation

[Journal Article] Skew graded A_∞ hypersurface singularities2023
- Author(s)
  Kenta Ueyama
- Journal Title
  
  Comptes Rendus. Math?matique
  
  Volume: 361 Issue: G2 Pages: 521-534
- DOI
  10.5802/crmath.415
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22K03222, KAKENHI-PROJECT-18K13381
[Journal Article] Twisted Segre products and noncommutative quadric surfaces2023
- Author(s)
  Kenta Ueyama
- Journal Title
  
  Proceedings of the 54th Symposium on Ring Theory and Representation Theory
  
  Volume: － Pages: 136-141
- Data Source
  KAKENHI-PROJECT-18K13381
[Journal Article] Combinatorial classification of (±1)-skew projective spaces2023
- Author(s)
  Akihiro Higashitani、Kenta Ueyama
- Journal Title
  
  The Quarterly Journal of Mathematics
  
  Volume: 74 Issue: 3 Pages: 939-956
- DOI
  10.1093/qmath/haad012
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22K03222, KAKENHI-PROJECT-20K03513
[Journal Article] Twisted Segre products and noncommutative quadric surfaces2023
- Author(s)
  Kenta Ueyama
- Journal Title
  
  Proceedings of the 54th Symposium on Ring Theory and Representation Theory
  
  Volume: － Pages: 136-141
- Data Source
  KAKENHI-PROJECT-22K03222
[Journal Article] Noncommutative Knorrer’s periodicity theorem and noncommutative quadric hypersurfaces2022
- Author(s)
  Mori Izuru、Ueyama Kenta
- Journal Title
  
  Algebra Number Theory
  
  Volume: 16 Issue: 2 Pages: 467-504
- DOI
  10.2140/ant.2022.16.467
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20K03510, KAKENHI-PROJECT-22K03222, KAKENHI-PROJECT-18K13381
[Journal Article] Twisted Segre products2022
- Author(s)
  Ji-Wei He、Kenta Ueyama
- Journal Title
  
  Journal of Algebra
  
  Volume: 611 Pages: 528-560
- DOI
  10.1016/j.jalgebra.2022.08.017
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-22K03222, KAKENHI-PROJECT-18K13381
[Journal Article] Derived categories of skew quadric hypersurfaces2022
- Author(s)
  Kenta Ueyama
- Journal Title
  
  Israel Journal of Mathematics
  
  Volume: 253 Issue: 1 Pages: 205-247
- DOI
  10.1007/s11856-022-2360-0
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22K03222, 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] Combinatorial study of stable categories of graded Cohen-Macauly modules over skew quadric hypersufaces2021
- Author(s)
  Akihiro Higashitani and Kenta Ueyama
- Journal Title
  
  Collectanea Mathematica
  
  Volume: ー Issue: 1 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] 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 Issue: 2 Pages: 489-529
- DOI
  10.4171/jncg/403
- NAID
  120007168232
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20K03510, 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] Hochschild cohomology related to graded down-up algebras with weights (1,n)2020
- Author(s)
  Itaba Ayako、Ueyama Kenta
- Journal Title
  
  Journal of Algebra and Its Applications
  
  Volume: online first Issue: 07 Pages: 2150131-2150131
- DOI
  10.1142/s0219498821501310
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18K13397, KAKENHI-PROJECT-18K13381
[Journal Article] The classification of 3-dimensional noetherian cubic Calabi-Yau algebras2019
- Author(s)
  Mori Izuru、Ueyama Kenta
- Journal Title
  
  Journal of Pure and Applied Algebra
  
  Volume: 223 Issue: 5 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 Issue: 4 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 Issue: 2 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
  
  Adv. Math.
  
  Volume: 297 Pages: 54-92
- DOI
  10.1016/j.aim.2016.04.009
- Peer Reviewed
- 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
  
  Trans. Amer. Math. Soc.
  
  Volume: 368 Issue: 10 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 Issue: 9 Pages: 3703-3715
- DOI
  10.1090/proc/12527
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-15K17503
[Presentation] 可算Cohen-Macaulay表現型非可換次数付き超曲面について2024
- Author(s)
  上山健太
- Organizer
  日本数学会2024年度年会
- Data Source
  KAKENHI-PROJECT-22K03222
[Presentation] 行列のスイッチングと付随する単体的複体による歪多項式環の分類2023
- Author(s)
  東谷章弘、上山健太
- Organizer
  日本数学会2023年度年会
- Data Source
  KAKENHI-PROJECT-22K03222
[Presentation] 行列のスイッチングと付随する単体的複体による歪多項式環の分類2023
- Author(s)
  東谷章弘、上山健太
- Organizer
  日本数学会2023年度年会
- Data Source
  KAKENHI-PROJECT-18K13381
[Presentation] (±1)歪射影空間の組合せ論的分類2023
- Author(s)
  上山健太
- Organizer
  信州大学　談話会
- Data Source
  KAKENHI-PROJECT-22K03222
[Presentation] Invariant theory of skew polynomial algebras2023
- Author(s)
  Kenta Ueyama
- Organizer
  McKay correspondence, Tilting theory and related topics
- Invited
- Data Source
  KAKENHI-PROJECT-22K03222
[Presentation] Examples of smooth noncommutative projective schemes2022
- Author(s)
  Kenta Ueyama
- Organizer
  BIRS Workshop: Noncommutative Geometry and Noncommutative Invariant Theory
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-18K13381
[Presentation] Twisted Segre products and noncommutative quadric surfaces2022
- Author(s)
  上山健太
- Organizer
  第54回環論および表現論シンポジウム
- Data Source
  KAKENHI-PROJECT-22K03222
[Presentation] グラフのスイッチングと付随する単体的複体による(±1)歪多項式環の分類2022
- Author(s)
  東谷章弘、上山健太
- Organizer
  日本数学会2022年度秋季総合分科会
- Data Source
  KAKENHI-PROJECT-18K13381
[Presentation] グラフのスイッチングと付随する単体的複体による(±1)歪多項式環の分類2022
- Author(s)
  東谷章弘、上山健太
- Organizer
  日本数学会2022年度秋季総合分科会
- Data Source
  KAKENHI-PROJECT-22K03222
[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] Examples of smooth noncommutative projective schemes2022
- Author(s)
  Kenta Ueyama
- Organizer
  BIRS Workshop: Noncommutative Geometry and Noncommutative Invariant Theory
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-22K03222
[Presentation] Twisted Segre products and noncommutative quadric surfaces2022
- Author(s)
  上山健太
- Organizer
  第54回環論および表現論シンポジウム
- 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
3. 板場綾子

# of Collaborated Projects: 0 results

# of Collaborated Products: 1 results

Ueyama Kenta 上山 健太

Research Projects

Research Products

Co-Researchers

Tilting theory for Artin-Schelter Gorenstein algebrasPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Review Section

Research Institution

A study of noncommutative projective hypersurfacesPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Review Section

Research Institution

Studies of the structure of triangulated categories associated with noncommutative graded isolated singularitiesPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

[Journal Article] Skew graded A_∞ hypersurface singularities2023

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Twisted Segre products and noncommutative quadric surfaces2023

Author(s)

Journal Title

Data Source

[Journal Article] Combinatorial classification of (±1)-skew projective spaces2023

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Twisted Segre products and noncommutative quadric surfaces2023

Author(s)

Journal Title

Data Source

[Journal Article] Noncommutative Knorrer’s periodicity theorem and noncommutative quadric hypersurfaces2022

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Twisted Segre products2022

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Journal Title

DOI

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[Journal Article] Derived categories of skew quadric hypersurfaces2022

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Noncommutative matrix factorizations with an application to skew exterior algebras2021

Author(s)

Journal Title

DOI

NAID

Data Source

[Journal Article] Combinatorial study of stable categories of graded Cohen-Macauly modules over skew quadric hypersufaces2021

Author(s)

Journal Title

DOI

Data Source

[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)

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Data Source

[Journal Article] A categorical characterization of quantum projective spaces2021

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DOI

NAID

Data Source

[Journal Article] Hochschild cohomology of Beilinson algebras of graded down-up algebras2020

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Journal Title

Data Source

Ueyama Kenta 上山健太