Ono, Kaoru

/ School of School of Mathematics

Geometry

Kaoru Ono's main research interest is symplectic geometry, in particular, Floer theory, the theory of holomorphic curves and their applications.

In a joint work with K. Fukaya, he constructed Gromov-Witten invariants for arbitrary closed symplectic manifolds as well as Floer thoery for periodic Hamiltonian systems, hence obtained the affirmative answer to Betti number version of Arnold's conjecture.

He also proved the flux conjecture, which states that the group of Hamiltonian difffeomorphisms is closed in the identity component of the group of symplectomorphisms with respect to $C^1$-topology for any closed symplectic manifolds. In these years, he has been collaborating with K. Fukaya, Y.-G. Oh and H. Ohta in general study of Floer theory of

Lagrangian submanifolds and its applications.

- Professor, Research Institute for Mathematical Sciences, Kyoto University, 2012-present
- Professor, Department of Mathematics, Hokkaido University, 1998-2012
- Associate Professor, Department of Mathematics, Ochanomizu University, 1994-1998
- Lecturer, Department of Mathematics, Ochanomizu University, 1991-1994
- Assistant Professor, Department of Mathematics, Tohoku University, 1988-1991
- Ph. D. (advisor; Professor Akio Hattori), The University of Tokyo, 1990

- KIAS Scholar, Korea Institute for Advanced Study, 2010-present
- Inoue Prize for Science, Inoue Science Foundation, February 2007
- Invited lecture at International Congress of Mathematicians, Madrid, 2006
- Autumn Prize, Mathematical Society of Japan, September, 2005
- Geometry Prize, Mathematical Society of Japan, September, 1999

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