Ph. D., Shizuoka University

Algebra

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

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

A primer on twists in the noncommutative realm focusing on algebra, representation theory, and geometry
Pablo S. Ocal; Kenta Ueyama; Padmini Veerapen
Recent Advances in Noncommutative Algebra and Geometry, Contemporary Mathematics, 801, 179-194, Jul. 2024, Refereed
Lead

Combinatorial classification of $(\pm 1)$-skew projective spaces
Akihiro Higashitani; Kenta Ueyama
The Quarterly Journal of Mathematics, 74(3), 939-956, Sep. 2023, Refereed
Lead

Derived categories of skew quadric hypersurfaces
Kenta Ueyama
Israel Journal of Mathematics, 253(1), 205-247, Mar. 2023, Refereed
Lead

Skew graded $(A_\infty)$ hypersurface singularities
Kenta Ueyama
Comptes Rendus. Mathématique, 361(G2), 521-534, Feb. 2023, Refereed
Lead

Twisted Segre products
Ji-Wei He; Kenta Ueyama
Journal of Algebra, 611, 528-560, Dec. 2022, Refereed
Lead

Noncommutative Knörrer’s periodicity theorem and noncommutative quadric hypersurfaces
Izuru Mori; Kenta Ueyama
Algebra & Number Theory, 16(2), 467-504, Apr. 2022, Refereed
Lead

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
Lead

Noncommutative matrix factorizations with an application to skew exterior algebras
Izuru Mori; Kenta Ueyama
Journal of Algebra, 586, 1053-1087, Nov. 2021, Refereed
Lead

A categorical characterization of quantum projective spaces
Izuru Mori; Kenta Ueyama
Journal of Noncommutative Geometry, 15(2), 489-529, Sep. 2021, Refereed
Lead

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
Lead

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
Lead

On Knörrer periodicity for quadric hypersurfaces in skew projective spaces
Kenta Ueyama
Canadian Mathematical Bulletin, 62(4), 896-911, Dec. 2019, Refereed, Not invited
Lead

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
Lead

Cluster tilting modules and noncommutative projective schemes
Kenta Ueyama
Pacific Journal of Mathematics, 289(2), 449-468, Aug. 2017, Refereed, Not invited
Lead

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
Lead

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
Lead

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
Lead

Gorenstein dimension and AS-Gorenstein algebras
Kenta Ueyama
Communications in Algebra, 42(10), 4253-4268, May 2014, Refereed, Not invited
Lead

Graded maximal Cohen-Macaulay modules over noncommutative graded Gorenstein isolated singularities
Kenta Ueyama
Journal of Algebra, 383, 85-103, Jun. 2013, Refereed, Not invited
Lead

Graded Morita equivalences for geometric AS-regular algebras
Kenta Ueyama
Glasgow Mathematical Journal, 55(2), 241-257, May 2013, Refereed, Not invited
Lead

Graded Morita equivalences for generic Artin-Schelter regular algebras
Kenta Ueyama
Kyoto Journal of Mathematics, 51(2), 485-501, Apr. 2011, Refereed, Not invited
Lead

Geometric classification of quadratic algebras in two variables
Kenta Ueyama
Tsukuba Journal of Mathematics, 34(1), 79-96, Sep. 2010, Refereed, Not invited
Lead

Combinatorics of graded module categories over skew polynomial algebras at roots of unity
Akihiro Higashitani; Kenta Ueyama
preprint, Sep. 2024
http://arxiv.org/abs/2409.10904
Lead

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
Lead

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
Lead

Twisted Segre products and noncommutative quadric surfaces
Kenta Ueyama
Proceedings of the 54th Symposium on Ring Theory and Representation Theory, 136 - 141, Feb. 2023
Lead

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
Lead

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
Lead

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
Lead

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
Lead

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
Lead

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
Lead

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
Lead

Noncommutative graded Gorenstein isolated singularities
Kenta Ueyama
Proceedings of the 45th Symposium on Ring Theory and Representation Theory, 158 - 163, Feb. 2013
Lead

Noncommutative graded isolated singularities and fixed subalgebras
Kenta Ueyama
Proceedings of the 34th Symposium on Commutative Algebras in Japan, 196 - 204, Jan. 2013
Lead

Graded Frobenius algebras and quantum Beilinson algebras
Kenta Ueyama
Proceedings of the 44th Symposium on Ring Theory and Representation Theory, 216 - 222, Mar. 2012
Lead

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
Lead

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

Oct. 2009 - Present
Mathematical Society of Japan

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