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Research interests:
- Representation theory and structures of algebras,
- Homological algebras,
- Cellular algebras, affine cellular algebras, and related topics.
Some topics:
- Cellular algebras and affine cellular algebras: General structure theory and representation theory.
- Cellular algebras in applications: Affine Hecke algebras, Birman-Wenzl algebras, Brauer algebras, partition algebras and cyclotomic Temperley-Lieb algebras; and related algebras.
- Homological theory of artin algebras: Homological conjectures; homological dimensions; homologically finite subcategories; Hochschild homology and cohomology and related topics;
- Derived equivalences, stable equivalences of Morita type and related topics.
- Quasi-hereditary algebras and related topics;
- Quadratic forms and module categories: Vector space categories of algberas, representation types; spectrum of Cartan matrices of algebras, relationship between properties of algebras and Cartan determinants; Coxeter matrices of algebras.
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