Department of Mathematics, Faculty of Education, Hirosaki University

**Derived categories of skew quadric hypersurfaces**

preprint [arXiv]

**Combinatorial study of stable categories of graded Cohen-Macaulay modules over skew quadric hypersurfaces**

with Akihiro Higashitani,*Collect. Math.*, to appear [arXiv]

**Noncommutative Knörrer's periodicity theorem and noncommutative quadric hypersurfaces**

with Izuru Mori, preprint [arXiv]

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

with Ayako Itaba,*J. Algebra Appl.*, to appear [arXiv, journal]

**On Knörrer periodicity for quadric hypersurfaces in skew projective spaces**

*Canad. Math. Bull.***62**(2019), no. 4, 896-911 [arXiv, journal]

**Noncommutative matrix factorizations with an application to skew exterior algebras**

with Izuru Mori, preprint [arXiv]

**A categorical characterization of quantum projective spaces**

with Izuru Mori,*J. Noncommut. Geom.*, to appear [arXiv]

**The classification of 3-dimensional noetherian cubic Calabi-Yau algebras**

with Izuru Mori,*J. Pure Appl. Algebra***223**(2019), no. 5, 1946-1965 [arXiv, journal]

**Cluster tilting modules and noncommutative projective schemes**

*Pacific J. Math.***289**(2017), no. 2, 449-468 [arXiv, journal]

**Stable categories of graded maximal Cohen-Macaulay modules over noncommutative quotient singularities**

with Izuru Mori,*Adv. Math.***297**(2016), 54-92 [arXiv, journal]

**Ample group action on AS-regular algebras and noncommutative graded isolated singularities**

with Izuru Mori,*Trans. Amer. Math. Soc.***368**(2016), no. 10, 7359-7383 [arXiv, journal]

**Noncommutative graded algebras of finite Cohen-Macaulay representation type**

*Proc. Amer. Math. Soc.***143**(2015), no. 9, 3703-3715 [pdf, journal]

**Graded maximal Cohen-Macaulay modules over noncommutative graded Gorenstein isolated singularities**

*J. Algebra***383**(2013), 85-103 [pdf, journal]

**Gorenstein dimension and AS-Gorenstein algebras**

*Comm. Algebra***42**(2014), no. 10, 4253-4268 [pdf, journal]

**Graded Morita equivalences for geometric AS-regular algebras**

with Izuru Mori,*Glasg. Math. J.***55**(2013), no. 2, 241-257 [pdf, journal]

**Graded Morita equivalences for generic Artin-Schelter regular algebras**

*Kyoto J. Math.***51**(2011), no. 2, 485-501 [pdf, journal]

**Geometric classification of quadratic algebras in two variables**

*Tsukuba J. Math.***34**(2010), no. 1, 79-96 [pdf, journal]

**Noncommutative matrix factorizations and noncommutative Knörrer's periodicity**

with Izuru Mori, Proceedings of the 52nd Symposium on Ring Theory and Representation Theory, 73-80 (2020)

**Hochschild cohomology of Beilinson algebras of graded down-up algebras**

with Ayako Itaba, Proceedings of the 52nd Symposium on Ring Theory and Representation Theory, 29-34 (2020)

**When is an abelian category a quantum projective space?**

with Izuru Mori, Proceedings of the 50th Symposium on Ring Theory and Representation Theory, 131-136 (2018)

**3-dimensional cubic Calabi-Yau algebras and superpotentials**

Proceedings of the 49th Symposium on Ring Theory and Representation Theory, 155-169 (2017)

**Tilting objects for noncommutative quotient singularities**

with Izuru Mori, Proceedings of the 48th Symposium on Ring Theory and Representation Theory, 107-113 (2016)

**Noncommutative graded Gorenstein isolated singularities**

Proceedings of the 45th Symposium on Ring Theory and Representation Theory, 158-163 (2013)

**Noncommutative graded isolated singularities and fixed subalgebras**

Proceedings of the 34th Symposium on Commutative Algebras in Japan, 196-204 (2013)

**Graded Frobenius algebras and quantum Beilinson algebras**

Proceedings of the 44th Symposium on Ring Theory and Representation Theory, 180-186 (2012)

**On Graded Morita equivalences for AS-regular algebras**

Proceedings of the 43rd Symposium on Ring Theory and Representation Theory, 79-84 (2011)

**Stable categories of graded Cohen-Macaulay modules over skew quadric hypersurfaces**

2019 Noncommutative Algebraic Geometry Shanghai Workshop, Fudan University, China, November 13 2019**Knörrer's periodicity for skew quadric hypersurfaces**

The Eighth China-Japan-Korea International Symposium on Ring Theory, Nagoya University, Japan, August 27 2019**Noncommutative projective schemes having a homogeneous coordinate ring of finite global dimension**

RIMS workshop: Noncommutative Algebraic Geometry and Related Topics, Kyoto University, Japan, September 27 2017**Stable categories of graded maximal Cohen-Macaulay modules over noncommutative quotient singularities**

The Seventh China-Japan-Korea International Conference on Ring Theory, Zhejiang University of Technology, China, July 2 2015**Ample group action and isolated singularity**

with Izuru Mori, Regularity and Rigidity of Noncommutative Algebras, University of Washington, USA, March 23 2014**Ample group actions on AS-regular algebras and noncommutative graded isolated singularities**

Perspectives of Representation Theory of Algebras, Conference honoring Kunio Yamagata on the occasion of his 65th birthday, Nagoya University, Japan, November 15 2013**Fixed subalgebras of AS-regular algebras under ample group actions**

Seminar Talk at the School of Mathematical Sciences, Fudan University, China, September 10 2013**Artin-Schelter Gorenstein algebras with isolated singularities**

RIMS workshop: Noncommutative Algebraic Geometry and Related Topics, Kyoto University, Japan, July 1 2013**Graded maximal Cohen-Macaulay modules over noncommutative graded Gorenstein isolated singularities**

International Conference on Representations of Algebras (ICRA 2012), Bielefeld University, Germany, August 17 2012

**Some results on AS-Gorenstein algebras**

The Sixth China-Japan-Korea International Conference on Ring and Module Theory, Kyung Hee University at Suwon, Korea, July 1 2011