Research

Publications and Preprints

  1. A categorical characterization of quantum projective spaces
    with Izuru Mori, preprint [arXiv]
  2. The classification of 3-dimensional noetherian cubic Calabi-Yau algebras
    with Izuru Mori, preprint [arXiv]
  3. Cluster tilting modules and noncommutative projective schemes
    Pacific J. Math. 289 (2017), no. 2, 449-468 [arXiv, journal]
  4. Stable categories of graded maximal Cohen-Macaulay modules over noncommutative quotient singularities
    with Izuru Mori, Adv. Math. 297 (2016), 54-92 [arXiv, journal]
  5. 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]
  6. Noncommutative graded algebras of finite Cohen-Macaulay representation type
    Proc. Amer. Math. Soc. 143 (2015), no. 9, 3703-3715 [pdf, journal]
  7. Graded maximal Cohen-Macaulay modules over noncommutative graded Gorenstein isolated singularities
    J. Algebra 383 (2013), 85-103 [pdf, journal]
  8. Gorenstein dimension and AS-Gorenstein algebras
    Comm. Algebra 42 (2014), no. 10, 4253-4268 [pdf, journal]
  9. Graded Morita equivalences for geometric AS-regular algebras
    with Izuru Mori, Glasg. Math. J. 55 (2013), no. 2, 241-257 [pdf, journal]
  10. Graded Morita equivalences for generic Artin-Schelter regular algebras
    Kyoto J. Math. 51 (2011), no. 2, 485-501 [pdf, journal]
  11. Geometric classification of quadratic algebras in two variables
    Tsukuba J. Math. 34 (2010), no. 1, 79-96 [pdf, journal]

Unrefereed Publications (English papers only)

  1. 3-dimensional cubic Calabi-Yau algebras and superpotentials
    Proceedings of the 49th Symposium on Ring Theory and Representation Theory, 155-169 (2017)
  2. Tilting objects for noncommutative quotient singularities
    with Izuru Mori, Proceedings of the 48th Symposium on Ring Theory and Representation Theory, 107-113 (2016)
  3. Noncommutative graded Gorenstein isolated singularities
    Proceedings of the 45th Symposium on Ring Theory and Representation Theory, 158-163 (2013)
  4. Noncommutative graded isolated singularities and fixed subalgebras
    Proceedings of the 34th Symposium on Commutative Algebras in Japan, 196-204 (2013)
  5. Graded Frobenius algebras and quantum Beilinson algebras
    Proceedings of the 44th Symposium on Ring Theory and Representation Theory, 180-186 (2012)
  6. On Graded Morita equivalences for AS-regular algebras
    Proceedings of the 43rd Symposium on Ring Theory and Representation Theory, 79-84 (2011)

Selected Talks

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