Kaoru Ono (小野薫, ''Ono Kaoru'', born 1962) is a Japanese mathematician, specializing in

symplectic geometry Symplectic geometry is a branch of differential geometry and differential topology that studies symplectic manifolds; that is, differentiable manifolds equipped with a closed, nondegenerate 2-form. Symplectic geometry has its origins in the ...

. He is a professor at the

Research Institute for Mathematical Sciences The is a research institute attached to Kyoto University, hosting researchers in the mathematical sciences from all over Japan. RIMS was founded in April 1963. List of directors * Masuo Fukuhara (1963.5.1 – 1969.3.31) * Kōsaku Yosida (1969 ...

(RIMS) at

Kyoto University , or , is a National university, national research university in Kyoto, Japan. Founded in 1897, it is one of the former Imperial Universities and the second oldest university in Japan. The university has ten undergraduate faculties, eighteen gra ...

. Ono received from the University of

Tokyo Tokyo, officially the Tokyo Metropolis, is the capital of Japan, capital and List of cities in Japan, most populous city in Japan. With a population of over 14 million in the city proper in 2023, it is List of largest cities, one of the most ...

his undergraduate degree in 1984, his master's degree in 1987, and his Ph.D. in 1990. Within symplectic geometry, his research has focused on Floer theory and holomorphic symplectic geometry involving holomorphic curves and pseudoholomorphic curves and their applications. He has collaborated extensively with Kenji Fukaya, Yong-Geun Oh, and Hiroshi Ohta (see Fukaya category). Ono was awarded by the

Mathematical Society of Japan The Mathematical Society of Japan (MSJ, ) is a learned society for mathematics in Japan. In 1877, the organization was established as the ''Tokyo Sugaku Kaisha'' and was the first academic society in Japan. It was re-organized and re-established i ...

in 1999 the Geometry Prize and in 2005 the Autumn Prize. He was a 2006 recipient of the Inoue Prize of the Inoue Foundation for Science. In 2006 he was an Invited Speaker with talk ''Development in symplectic Floer theory'' at the

International Congress of Mathematicians The International Congress of Mathematicians (ICM) is the largest conference for the topic of mathematics. It meets once every four years, hosted by the International Mathematical Union (IMU). The Fields Medals, the IMU Abacus Medal (known before ...

Madrid Madrid ( ; ) is the capital and List of largest cities in Spain, most populous municipality of Spain. It has almost 3.5 million inhabitants and a Madrid metropolitan area, metropolitan area population of approximately 7 million. It i ...

. In 2022, he serves as Director of the Research Institute for Mathematical Sciences of

(KURIMS).

Selected publications

* ''On the Arnold conjecture for weakly monotone symplectic manifold'', Vol. 119, 1995, pp. 519–537 * with Fukaya: ''Arnold conjecture and Gromov-Witten invariant'', Topology, Vol. 38, 1999, pp. 933–1048 * with Fukaya
Arnold conjecture and Gromov-Witten invariant for general symplectic manifolds.
The Arnoldfest: Proceedings of a Conference in Honour of V.I. Arnold for his Sixtieth Birthday (Toronto, 1997), 1999, pp. 173–190
''Development in symplectic Floer theory''
, International Congress of Mathematicians, 2006, Proc. ICM Madrid, Volume 2, 1061–1082 * with Fukaya, Oh, & Ohta: '' Lagrangian Intersection Floer Theory ''. AMS/IP Studies in Advanced Mathematics, 20 ** ** * with Fukaya, Oh, & Ohta
"Technical details on Kuranishi structure and virtual fundamental chain."
arXiv preprint arXiv:1209.4410, 2012 *

References

{{DEFAULTSORT:Ono, Kaoru 20th-century Japanese mathematicians 21st-century Japanese mathematicians Academic staff of Kyoto University Academic staff of Hokkaido University University of Tokyo alumni 1962 births Living people