Research

Papers and Preprints

[23] Cohen-Macaulay representations of Artin-Schelter Gorenstein algebras of dimension one

[22] A primer on twists in the noncommutative realm focusing on algebra, representation theory, and geometry

[21] Skew graded (A_\infty) hypersurface singularities

[20] Twisted Segre products

[19] Combinatorial classification of (±1)-skew projective spaces

[18] 数列の発展的な探究課題の開発 —「17段目のなぞ」の周期性に着目して—

[17] Derived categories of skew quadric hypersurfaces

[16] Combinatorial study of stable categories of graded Cohen-Macaulay modules over skew quadric hypersurfaces

[15] Noncommutative Knörrer's periodicity theorem and noncommutative quadric hypersurfaces

[14] Hochschild cohomology related to graded down-up algebras with weights (1,n)

[13] On Knörrer periodicity for quadric hypersurfaces in skew projective spaces

[12] Noncommutative matrix factorizations with an application to skew exterior algebras

[11] A categorical characterization of quantum projective spaces

[10] The classification of 3-dimensional noetherian cubic Calabi-Yau algebras

[9] Cluster tilting modules and noncommutative projective schemes

[8] Stable categories of graded maximal Cohen-Macaulay modules over noncommutative quotient singularities

[7] Ample group action on AS-regular algebras and noncommutative graded isolated singularities

[6] Noncommutative graded algebras of finite Cohen-Macaulay representation type

[5] Graded maximal Cohen-Macaulay modules over noncommutative graded Gorenstein isolated singularities

[4] Gorenstein dimension and AS-Gorenstein algebras

[3] Graded Morita equivalences for geometric AS-regular algebras

[2] Graded Morita equivalences for generic Artin-Schelter regular algebras

[1] Geometric classification of quadratic algebras in two variables

Non-Refereed Paper

[2] 津軽こぎん刺しの数学 —モドコの数え上げとフィボナッチ数列—

[1] 隣接m項間漸化式で定まる数列の下一桁の周期性

Some Talks

YouTube

歪2次超曲面に付随する三角圏とグラフの変形操作

第65回代数学シンポジウム

2020年9月1日