UEYAMA Kenta

Academic Assembly School of Science and Technology Institute of Science

Faculty of Science Department of Mathematics Course of Mathematical Sciences 

Associate Professor 

Degree

  • Ph. D., Shizuoka University

Research Keyword

    Ring Theory, Noncommutative Algebraic Geometry, Representation Theory of Algebras

Field Of Study

  • Natural sciences, Algebra

Mail Address

    ueyama★shinshu-u.ac.jp

Career

  • 2023
    Associate Professor, Department of Mathematics, Faculty of Science, Shinshu University
  • 2020 - 2023
    Associate Professor, Faculty of Education, Hirosaki University
  • 2014 - 2020
    Lecturer, Faculty of Education, Hirosaki University
  • 2014 - 2014
    Research Fellow and Part-time Lecturer, Shizuoka University
  • 2013 - 2014
    JSPS Research Fellow PD, Shizuoka University
  • 2011 - 2013
    JSPS Research Fellow DC1, Shizuoka University

Educational Background

  • 2011 - 2013, Shizuoka University, Educational Division, Graduate School of Science and Technology, Department of Information Science and Technology
  • 2009 - 2011, Shizuoka University, Graduate School of Science, Department of Mathematics
  • 2005 - 2009, Shizuoka University, Faculty of Science, Department of Mathematics

Paper

  • A primer on twists in the noncommutative realm focusing on algebra, representation theory, and geometry
    Pablo S. Ocal; Kenta Ueyama; Padmini Veerapen
    Contemporary Mathematics, to appear, 2024, Refereedリポジトリ
  • Combinatorial classification of $(\pm 1)$-skew projective spaces
    Akihiro Higashitani; Kenta Ueyama
    The Quarterly Journal of Mathematics, 74(3), 939-956, Sep. 2023, Refereedリポジトリ電子ジャーナル
  • Derived categories of skew quadric hypersurfaces
    Kenta Ueyama
    Israel Journal of Mathematics, 253(1), 205-247, Mar. 2023, Refereedリポジトリ電子ジャーナル
  • Skew graded $(A_\infty)$ hypersurface singularities
    Kenta Ueyama
    Comptes Rendus. Mathématique, 361(G2), 521-534, Feb. 2023, Refereedリポジトリ電子ジャーナル
  • Twisted Segre products
    Ji-Wei He; Kenta Ueyama
    Journal of Algebra, 611, 528-560, Dec. 2022, Refereedリポジトリ電子ジャーナル
  • Noncommutative Knörrer’s periodicity theorem and noncommutative quadric hypersurfaces
    Izuru Mori; Kenta Ueyama
    Algebra & Number Theory, 16(2), 467-504, Apr. 2022, Refereedリポジトリ電子ジャーナル
  • Combinatorial study of stable categories of graded Cohen–Macaulay modules over skew quadric hypersurfaces
    Akihiro Higashitani; Kenta Ueyama
    Collectanea Mathematica, 73(1), 43-54, Jan. 2022, Refereedリポジトリ電子ジャーナル
  • Noncommutative matrix factorizations with an application to skew exterior algebras
    Izuru Mori; Kenta Ueyama
    Journal of Algebra, 586, 1053-1087, Nov. 2021, Refereedリポジトリ電子ジャーナル
  • A categorical characterization of quantum projective spaces
    Izuru Mori; Kenta Ueyama
    Journal of Noncommutative Geometry, 15(2), 489-529, Sep. 2021, Refereedリポジトリ電子ジャーナル
  • Hochschild cohomology related to graded down-up algebras with weights $(1,n)$
    Ayako Itaba; Kenta Ueyama
    Journal of Algebra and Its Applications, 20(07), 2150131-2150131(19pp), Jul. 2021, Refereedリポジトリ電子ジャーナル
  • Development of Advanced Teaching-Learning Materials on Sequences: Focusing on Periodicity in ``Mystery of the 17th Step'' [in Japanese]
    Yoshihisa Tanaka; Kenta Ueyama; Yoshio Yamanoue
    Journal of Japan Society of Mathematical Education, 103(1), 2-10, Jan. 2021, Refereedリポジトリ
  • On Knörrer periodicity for quadric hypersurfaces in skew projective spaces
    Kenta Ueyama
    Canadian Mathematical Bulletin, 62(4), 896-911, Dec. 2019, Refereed, Not invitedリポジトリ電子ジャーナル
  • The classification of 3-dimensional noetherian cubic Calabi-Yau algebras
    Izuru Mori; Kenta Ueyama
    Journal of Pure and Applied Algebra, 223(5), 1946-1965, May 2019, Refereed, Not invitedリポジトリ電子ジャーナル
  • Cluster tilting modules and noncommutative projective schemes
    Kenta Ueyama
    Pacific Journal of Mathematics, 289(2), 449-468, Aug. 2017, Refereed, Not invitedリポジトリ電子ジャーナル
  • Ample group action on AS-regular algebras and noncommutative graded isolated singularities
    Izuru Mori; Kenta Ueyama
    Transactions of the American Mathematical Society, 368(10), 7359-7383, Oct. 2016, Refereed, Not invitedリポジトリ電子ジャーナル
  • Stable categories of graded maximal Cohen-Macaulay modules over noncommutative quotient singularities
    Izuru Mori; Kenta Ueyama
    Advances in Mathematics, 297, 54-92, Jul. 2016, Refereed, Not invitedリポジトリ電子ジャーナル
  • Noncommutative graded algebras of finite Cohen-Macaulay representation type
    Kenta Ueyama
    Proceedings of the American Mathematical Society, 143(9), 3703-3715, Sep. 2015, Refereed, Not invitedリポジトリ電子ジャーナル
  • Gorenstein dimension and AS-Gorenstein algebras
    Kenta Ueyama
    Communications in Algebra, 42(10), 4253-4268, May 2014, Refereed, Not invitedリポジトリ電子ジャーナル
  • Graded maximal Cohen-Macaulay modules over noncommutative graded Gorenstein isolated singularities
    Kenta Ueyama
    Journal of Algebra, 383, 85-103, Jun. 2013, Refereed, Not invitedリポジトリ電子ジャーナル
  • Graded Morita equivalences for geometric AS-regular algebras
    Kenta Ueyama
    Glasgow Mathematical Journal, 55(2), 241-257, May 2013, Refereed, Not invitedリポジトリ電子ジャーナル
  • Graded Morita equivalences for generic Artin-Schelter regular algebras
    Kenta Ueyama
    Kyoto Journal of Mathematics, 51(2), 485-501, Apr. 2011, Refereed, Not invitedリポジトリ電子ジャーナル
  • Geometric classification of quadratic algebras in two variables
    Kenta Ueyama
    Tsukuba Journal of Mathematics, 34(1), 79-96, Sep. 2010, Refereed, Not invitedリポジトリ電子ジャーナル

MISC

  • Cohen-Macaulay representations of Artin-Schelter Gorenstein algebras of dimension one
    Osamu Iyama; Yuta Kimura; Kenta Ueyama
    preprint, Apr. 2024
    http://arxiv.org/abs/2404.05925v1リポジトリ
  • Mathematics of Tsugaru Kogin-zashi: Modoko enumeration and the Fibonacci sequence [in Japanese]
    Kenta Ueyama
    Bulletin of the Faculty of Education, Hirosaki University, 129, 23 - 30, Mar. 2023
  • Twisted Segre products and noncommutative quadric surfaces
    Kenta Ueyama
    Proceedings of the 54th Symposium on Ring Theory and Representation Theory, 136 - 141, Feb. 2023
  • Periodicity of the last digits of sequences defined by m-term recurrence relations [in Japanese]
    Yoshio Yamanoue; Kenta Ueyama; Yoshihisa Tanaka
    Bulletin of the Faculty of Education, Hirosaki University, 127, 57 - 66, Mar. 2022
  • Triangulated categories associated with skew quadric hypersurfaces and transformations of graphs [in Japanese]
    Kenta Ueyama
    Proceedings of the 65th Algebra Symposium, 56 - 69, Jan. 2021
  • Hochschild cohomology of Beilinson algebras of graded down-up algebras
    Ayako Itaba; Kenta Ueyama
    Proceedings of the 52nd Symposium on Ring Theory and Representation Theory, 29 - 34, Feb. 2020
  • Noncommutative matrix factorizations and noncommutative Knörrer's periodicity
    Izuru Mori; Kenta Ueyama
    Proceedings of the 52nd Symposium on Ring Theory and Representation Theory, 73 - 80, Feb. 2020
  • When is an abelian category a quantum projective space?
    Izuru Mori; Kenta Ueyama
    Proceedings of the 50th Symposium on Ring Theory and Representation Theory, 131 - 136, Feb. 2018
  • 3-dimensional cubic Calabi-Yau algebras and superpotentials
    Kenta Ueyama
    Proceedings of the 49th Symposium on Ring Theory and Representation Theory, 155 - 160, Feb. 2017
  • Tilting objects for noncommutative quotient singularities
    Izuru Mori; Kenta Ueyama
    Proceedings of the 48th Symposium on Ring Theory and Representation Theory, 107 - 113, Feb. 2016
  • Noncommutative graded Gorenstein isolated singularities
    Kenta Ueyama
    Proceedings of the 45th Symposium on Ring Theory and Representation Theory, 158 - 163, Feb. 2013
  • Noncommutative graded isolated singularities and fixed subalgebras
    Kenta Ueyama
    Proceedings of the 34th Symposium on Commutative Algebras in Japan, 196 - 204, Jan. 2013
  • Graded Frobenius algebras and quantum Beilinson algebras
    Kenta Ueyama
    Proceedings of the 44th Symposium on Ring Theory and Representation Theory, 216 - 222, Mar. 2012
  • On Graded Morita equivalences for AS-regular algebras
    Kenta Ueyama
    Proceedings of the 43rd Symposium on Ring Theory and Representation Theory, 79 - 84, Jan. 2011

Lectures, oral presentations, etc.

  • 可算Cohen-Macaulay表現型非可換次数付き超曲面について
    上山健太
    日本数学会2024年度年会, Mar. 2024
  • Invariant theory of skew polynomial algebras
    Kenta Ueyama
    McKay correspondence, Tilting theory and related topics, Dec. 2023, Invited
  • ($\pm 1$)歪射影空間の組合せ論的分類
    上山健太
    信州大学 談話会, Oct. 2023
  • 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
    東谷章弘; 上山健太
    日本数学会2023年度年会, Mar. 2023, Not invited
  • Examples of smooth noncommutative projective schemes
    Kenta Ueyama
    BIRS Workshop: Noncommutative Geometry and Noncommutative Invariant Theory, Sep. 2022, Invited
  • グラフのスイッチングと付随する単体的複体による$(\pm 1)$歪多項式環の分類
    東谷章弘; 上山健太
    日本数学会2022年度秋季総合分科会, Sep. 2022, Not invited
  • Twisted Segre products and noncommutative quadric surfaces
    上山健太
    第54回環論および表現論シンポジウム, Sep. 2022, Not invited
  • 非可換射影空間の分類への組合せ論的アプローチ
    上山健太
    2021年度日本数学会東北支部会・特別講演, Feb. 2022, Invited
  • Classifying $(\pm1)$-skew projective spaces via graphs
    上山健太
    東京可換環論セミナー, Nov. 2021, Invited
  • Triangulated categories associated with skew quadric hypersurfaces
    上山健太
    OCAMI代数セミナー, Jan. 2021, Invited
  • 歪2次超曲面に付随する三角圏とグラフの変形操作
    上山健太
    第65回代数学シンポジウム, Sep. 2020, Invited
  • Combinatorial study of stable categories of graded CM modules over skew quadrics
    上山健太
    名古屋大学環論表現論セミナー, Dec. 2019, Invited
  • Stable categories of graded Cohen-Macaulay modules over skew quadric hypersurfaces
    Kenta Ueyama
    2019 Noncommutative Algebraic Geometry Shanghai Workshop, Nov. 2019, Invited
  • Noncommutative graded Knörrer’s periodicity theorem
    毛利出; 上山健太
    日本数学会2019年度秋季総合分科会, Sep. 2019, Not invited
  • Down-up algebraのBeilinson algebraのホッホシルトコホモロジーについて
    板場綾子; 上山健太
    日本数学会2019年度秋季総合分科会, Sep. 2019, Not invited
  • Knörrer’s periodicity for skew quadric hypersurfaces
    Kenta Ueyama
    The Eighth China-Japan-Korea International Symposium on Ring Theory, Aug. 2019, Not invited
  • 非可換Knörrer周期性について
    上山健太
    神楽坂代数セミナー, May 2019, Invited
  • 可換でないときのKnörrer周期性について
    上山健太
    日本数学会2019年度年会, Mar. 2019, Not invited
  • 非可換射影空間の圏論的特徴付け
    毛利出; 上山健太
    日本数学会2018年度年会, Mar. 2018, Not invited
  • 非可換射影空間の圏論的特徴付けについて
    上山健太
    第8回(非)可換代数とトポロジー, Feb. 2018, Invited
  • An introduction to noncommutative projective schemes 1, 2
    上山健太
    第23回大和郡山セミナー, Dec. 2017, Invited
  • When is an abelian category a quantum projective space?
    毛利出; 上山健太
    第50回環論および表現論シンポジウム, Oct. 2017, Not invited
  • Noncommutative projective schemes having a homogeneous coordinate ring of finite global dimension
    Kenta Ueyama
    RIMS workshop: Noncommutative Algebraic Geometry and Related Topics, Sep. 2017, Invited
  • 3-dimensional noetherian cubic Calabi-Yau algebras
    毛利出; 上山健太
    日本数学会2017年度年会, Mar. 2017, Not invited
  • Graded endomorphism algebras of cluster tilting modules
    上山健太
    日本数学会2016年度秋季総合分科会, Sep. 2016, Not invited
  • 3-dimensional cubic Calabi-Yau algebras and superpotentials
    上山健太
    第49回環論および表現論シンポジウム, Sep. 2016, Not invited
  • Cluster tilting modules in noncommutative projective geometry 1, 2
    上山健太
    第17回静岡代数学セミナー, Dec. 2015, Invited
  • Tilting objects for noncommutative quotient singularities
    毛利出; 上山健太
    第48回環論および表現論シンポジウム, Sep. 2015
  • Stable categories of graded maximal Cohen-Macaulay modules over noncommutative quotient singularities
    Kenta Ueyama
    The Seventh China-Japan-Korea International Conference on Ring Theory, Jul. 2015, Not invited
  • Cyclic ample groups acting on the graded down-up algebra $A(0,1)$
    上山健太
    日本数学会2015年度年会, Mar. 2015, Not invited
  • Examples of noncommutative graded isolated singularities
    上山健太
    名古屋大学環論表現論セミナー, Apr. 2014, Invited
  • Ample group action and isolated singularity
    Izuru Mori; Kenta Ueyama
    Regularity and Rigidity of Noncommutative Algebras, Mar. 2014, Invited
  • Ampleness of group actions on graded algebras
    毛利出; 上山健太
    日本数学会2014年度年会, Mar. 2014, Not invited
  • Invariant theory of AS-regular algebras
    上山健太
    第14回大和郡山セミナー, Mar. 2014, Invited
  • Ample group actions on AS-regular algebras
    上山健太
    第19回代数学若手研究会, Feb. 2014, Not invited
  • Ample group actions on AS-regular algebras and noncommutative graded isolated singularities
    Kenta Ueyama
    Perspectives of Representation Theory of Algebras, Conference honoring Kunio Yamagata on the occasion of his 65th birthday, Nov. 2013, Invited
  • 非可換次数付き孤立特異点について
    上山健太
    大阪市立大学数学研究所院生談話会, Oct. 2013, Invited
  • Finite Cohen-Macaulay representation type and noncommutative graded isolated singularities
    上山健太
    日本数学会2013年度秋季総合分科会, Sep. 2013, Not invited
  • Fixed subalgebras of AS-regular algebras under ample group actions
    Kenta Ueyama
    Seminar Talk at the School of Mathematical Sciences, Fudan University, Sep. 2013, Invited
  • Artin-Schelter Gorenstein algebras with isolated singularities
    Kenta Ueyama
    RIMS workshop: Noncommutative Algebraic Geometry and Related Topics, Jul. 2013, Invited
  • 多項式の行列解について ―非可換代数幾何学への誘い―
    上山健太
    近畿大学数学講演会, Jun. 2013, Invited

Affiliated academic society

  • Oct. 2009 - Present
    Mathematical Society of Japan

Research Themes

  • Artin-Schelter Gorenstein代数を軸とした傾理論の深化
    科学研究費補助金, 日本学術振興会, 基盤研究(C)
    Apr. 2022 - Mar. 2026
  • 非可換射影超曲面の研究
    科学研究費補助金, 日本学術振興会, 若手研究
    Apr. 2018 - Mar. 2023
  • 非可換次数付き孤立特異点に付随する三角圏の構造解析
    科学研究費補助金, 日本学術振興会, 若手研究(B)
    Apr. 2015 - Mar. 2018
  • 非可換代数幾何学や表現論に現れる三角圏の研究
    科学研究費補助金, 日本学術振興会, 特別研究員奨励費
    Apr. 2011 - Mar. 2014