Regular biography
Toshiyuki Kobayashi is a professor at The University of Tokyo, Department of MATH. His research interests include Lie theory, particularly non-commutative harmonic analysis, unitary representation theory, integral geometry, and discontinuous groups. He maintains an active research profile with a categorized list of publications and course lectures available on his profile page. His academic contributions are reflected in his editorial roles for several mathematics journals.
Scholar-generated biography
Toshiyuki Kobayashi is a mathematician specializing in Lie theory, representation theory, and discontinuous groups. His research focuses on the representation theory of reductive groups, including the restriction of representations to reductive subgroups, discrete decomposability, and symmetry breaking. He has extensively studied the minimal representations of indefinite orthogonal groups and their realizations via conformal geometry. His work also addresses the analysis of homogeneous spaces and the existence of compact Clifford-Klein forms. Kobayashi's contributions span both theoretical and applied aspects of representation theory, with a strong emphasis on branching laws and multiplicity-free theorems.