Tokyo Gakugei University, Natural Sciences DivisionMathematics 数学分野, Associate Professor

Tokyo Gakugei University, Mathematics, Associate Professor

博士(理学)

A symmetry of silting quivers
Jul. 2023, Takuma Aihara and Qi Wang, joint, Glasg. Math. J.

On the representation-finite gendo-symmetric algebras with only one non-injective projective module
Aug. 2022, Takuma Aihara, Aaron Chan and Takahiro Honma, joint, J. Algebra

τ-tilting finite triangular matrix algebras
Dec. 2021, Takuma Aihara and Takahiro Honma, joint, J. Pure Appl. Algebra

Report on the finiteness of silting objects
May 2021, Takuma Aihara, Takahiro Honma, Kengo Miyamoto and Qi Wang, joint, Proc. Edinb. Math. Soc.

Remarks on dimensions of triangulated categories
Mar. 2019, Takuma Aihara, Ryo Takahashi, joint, J. Algebra

Algebras sharing the same support τ-tilting poset with tree quiver algebras
Dec. 2018, Takuma Aihara, Ryoichi Kase, joint, Q. J. MAth.

Classification of two-term tilting complexes over Brauer graph algebras
Oct. 2018, Takahide Adachi, Takuma Aihara, Aaron Chan, joint, Math. Z.

Classifying tilting complexes over preprojective algebras of Dynkin type
Apr. 2017, Takuma Aihara, Yuya Mizuno, joint, Algebra Number Theory

Generators and dimensions of derived categories of modules
Jul. 2015, Takuma Aihara, Ryo Takahashi, joint, Comm. Algebra, 43, 11

Derived equivalences between symmetric special biserial algebras
May 2015, Takuma Aihara, only, J. Pure Appl. Algebra, 219, 5

Endofunctors of singularity categories characterizing Gorenstein rings
Apr. 2015, Takuma Aihara, Ryo Takahashi, joint, Proc. Amer. Math. Soc., 143, 9

Dimensions of triangulated categories with respect to subcategories
Feb. 2014, Takuma Aihara, Tokuji Araya, Osamu Iyama, Ryo Takahashi, Michio Yoshiwaki, joint, J. Algebra, 399

Mutating Brauer trees
Jan. 2014, Takuma Aihara, only, Math. J. Okayama Univ., 56

Tilting-connected symmetric algebras
Jun. 2013, Takuma Aihara, only, Algebr. Represent. Theory, 16, 3

Silting mutation in triangulated categories
Jun. 2012, Takuma Aihara, Osamu Iyama, joint, J. Lond. Math. Soc., 85, 3

On trivial tilting theory
Sep. 2023, 第５５回環論および表現論シンポジウム

On τ-tilting finiteness of group algebras
Sep. 2022, 第５４回環論および表現論シンポジウム

τ-tilting finite triangular matrix algebras
Sep. 2022

ジェンド多元環の弱岩永・ゴーレンシュタイン性について
17 Sep. 2019, 日本数学会秋季総合分科会

有限表現型ジェンド対称多元環について
17 Sep. 2019, 日本数学会秋季総合分科会

On the gendo-symmetric algebra of a trivial extension algebra
26 Aug. 2019, The eighth China-Japan-Korea international symposium on ring theory

On the weakly Iwanaga-Gorenstein property of gendo algebras
26 Aug. 2019, The eighth China-Japan-Korea international symposium on ring theory

Silting-connected triangulated categories
05 Aug. 2019, Two weeks of silting

Silting-connected triangulated categories
Feb. 2018, 第8回（非）可換代数とトポロジー

Silting mutation theory: foundation and application I, II
Dec. 2017, 第4回ワークショップ「非可換Gorenstein代数とその周辺」

Singularity categories and silting objects
Oct. 2017, 第50回環論および表現論シンポジウム

On the existence of silting objects
Sep. 2017, 第62回代数学シンポジウム

Algebras sharing the same poset of support tau-tilting modules with tree quiver algebras
Aug. 2016, 第49回環論および表現論シンポジウム

Tilting mutation and flips of Brauer graph algebras
Mar. 2016, Workshop on Brauer graph algebras

Tilting complexes over preprojective algebras of Dynkin type
Sep. 2014, 第47回環論および表現論シンポジウム

On silting-discrete triangulated categories
Sep. 2014, 第47回環論および表現論シンポジウム

Tilting-connectedness of Brauer graph algebras
Mar. 2014, 日本数学会年会

Classifying two-term tilting complexes for Brauer graph algebras
Mar. 2014, 日本数学会年会

傾変異理論
Feb. 2014, 第19回代数学若手研究会

Tilting mutation theory
Nov. 2013, Perspectives of representation theory of algebras

Mutation and mutation quivers of symmetric special biserial algebras
Oct. 2013, 第46回環論および表現論シンポジウム

Dimensions of triangulated categories with respect to subcategories 2
Mar. 2013, 日本数学会年会

Dimensions of triangulated categories with respect to subcategories
Sep. 2012, 日本数学会秋季総合分科会

Functor categories and derived dimensions
Mar. 2012, 第17回代数学若手研究会