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Victor Ginzburg is a Professor in the Department of Mathematics at the University of Chicago. His research primarily focuses on geometric representation theory and noncommutative geometry. Ginzburg employs methods from algebraic geometry to study representations of algebras, emphasizing their significance from a representation-theoretic perspective. His work includes typical examples such as applications of D-modules and perverse sheaves in representations of complex and real reductive groups, as well as semisimple Lie algebras, contributing to conjectures like the Kazhdan-Lusztig conjecture. He also investigates integrable representations of quantum groups through geometric approaches involving quiver varieties, influenced by the geometric Langlands program. Over the past 5-10 years, he has developed an interest in noncommutative geometry, drawing inspiration from quiver theory and its connections to mirror symmetry in string theory. Ginzburg teaches courses on quivers and collaborates on joint projects with his graduate students.
Department of Philosophy