Research theme for competitive and other funds (17):
2020 - 2023 非可換代数曲面の分類を目的とした代数学の融合的研究
2016 - 2021 整環の表現論の総合的研究
2016 - 2020 The classification of noncommutative algebraic surfaces using algebraic geometry and representation theory
2016 - 2019 Moduli of noncommutative algebraic varieties
2012 - 2016 New development of representation theory of orders
2013 - 2016 New methods of study in noncommutative algebraic geometry using representation theory of algebras
2013 - 非可換代数幾何学とその周辺
2010 - 2013 Interactive developments of classification problems in noncommutative algebraic geometry and representation theory via triangulated categories
2009 - 2012 Equivalences of derived categories of algebras and Lie algebras realized by Ringel-Hall algebras of algebras
2009 - 2011 Representation theoretical research on algebraic structures of rings and module categories
2009 - 2010 表現論・可換環論の非可換代数幾何学における分類問題への応用
2009 - 非可換代数曲面と表現論
2009 - 非可換代数幾何学とその周辺
2008 - 2009 表現論・可換環論の非可換代数幾何学における分類問題への応用
2007 - 2009 Application of Koszul duality to commutative algebra
2007 - 2009 Research of Algebras relating to Cartan Problem by using methods of Representation Theory as an application of Algebraic Geometry
2007 - 2008 Applications of representation theory and commutative ring theory to classification problems in noncommutative algebraic geometry
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Papers (32):
Haigang Hu, Masaki Matsuno, Izuru Mori. Noncommutative Conics in Calabi-Yau Quantum Projective Planes. J. Algebra. 2023. 194-224
Itaba Ayako, Izuru Mori. Quantum projective planes finite over their centers. Canad. Math. Bull. 2023. 53-67
Izuru Mori, Kenta Ueyama. Noncommutative matrix factorizations with an application to skew exterior algebras. Journal of Algebra. 2021. 586. 1053-1087
Izuru Mori, Adam Nyman. Local duality for connected Z-algebras. J. Pure Appl. Algebras. 2021. 225
Izuru Mori, Kenta Ueyama. A categorical characterization of quantum projective spaces. Journal of Noncommutative Geometry. 2020. to appear
Haigang Hu, Masaki Matsuno, Izuru Mori. Noncommutative conics in Calabi-Yau quantum projective planes I, II. Proceedings of the 54th Symposium on Ring Theory and Representation Theory. 2023. 32-39
Izuru Mori, Ayako Itaba. Characterization of the quantum projective planes finite over their centers. Proceedings of the 53rd Symposium on Ring Theory and Representation Theory. 2022. 110-115
Izuru Mori, Kenta Ueyama. Noncommutative matrix factorizations and noncommutative Knorrer's periodicity. Proceedings of the 52nd Symposium on Ring Theory and Repesentation Theory. 2020. 73-80