Research
Publications and Preprints
- 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]
Unrefereed Publications (English papers only)
- 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)
Selected Talks
- 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