Toshiyuki Kobayashi, Mathematics

Israel Gelfand Chair in Mathematics

Mathematician Toshiyuki Kobayashi studies the symmetries underlying mathematical structures, at the intersection of geometry, Lie theory, and harmonic analysis.

Toshiyuki Kobayashi is a professor of mathematics at the University of Tokyo, widely recognized for his fundamental contributions to representation theory and the theory of discontinuous groups.

Kobayashi joined the faculty of the University of Tokyo in 1987 and received his doctorate there in 1990. Prior to returning to the University of Tokyo as professor in 2007, he was a professor at the Research Institute for Mathematical Sciences (RIMS), Kyoto University. He was a visiting professor at Harvard University (2001, 2008) and Yale University (2019), and a principal investigator at Kavli IPMU from 2011 to 2022, among many other appointments.

Kobayashi has opened up new frontiers at the intersection of geometry, Lie theory, representation theory, and analysis. His pioneering work on discontinuous groups beyond the Riemannian setting, on branching laws and symmetry breaking in infinite-dimensional representation theory, on global analysis of minimal representations, and on the theory of visible actions leading to multiplicity-free representations has profoundly influenced several areas of modern mathematics and inspired new directions of research.

Personal webpage: https://www.ms.u-tokyo.ac.jp/~toshi/

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