Kyushu University Academic Staff Educational and Research Activities Database
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Norihiro Hanihara Last modified date:2024.04.19



Graduate School
Undergraduate School


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Academic Degree
Doctor of Philosophy (Mathematical Science)
Country of degree conferring institution (Overseas)
No
Field of Specialization
Ring theory, Representation theory
Outline Activities
My research subject is representation theory of algebras. Given a ring (like a quiver or a commutative ring), its representation theory is about the study of categories (primarily the module category) and various related structures. I am particularly interested in homological structures appearing in Cohen-Macaulay representation theory of finite dimensional algebras or of commutative Gorenstein rings. I am mainly studying tilting theory linking their representation theories and also the theory of cluster tilting objects (or non-commutative resolutions) for these rings, through triangulated categories like derived categories, singularity categories, and cluster categories, and their enhancements by differential graded categories.
Research
Research Interests
  • Calabi-Yau structures on differential graded categories
    keyword : dg category, Calabi-Yau structure, singularity category, cluster category
    2022.04~2025.03.
Academic Activities
Membership in Academic Society
  • The Mathematical Society of Japan