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 differential form, closed, nondegenerate form, nondegenerate different ...

. 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 , mottoeng = Freedom of academic culture , established = , type = National university, Public (National) , endowment = ¥ 316 billion (2.4 1000000000 (number), billion USD) , faculty = 3,480 (Teaching Staff) , administrative_staff ...

. Ono received from the University of

Tokyo Tokyo (; ja, 東京, , ), officially the Tokyo Metropolis ( ja, 東京都, label=none, ), is the capital and largest city of Japan. Formerly known as Edo, its metropolitan area () is the most populous in the world, with an estimated 37.468 ...

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 curve In mathematics, in the field of complex geometry, a holomorphic curve in a complex manifold ''M'' is a non-constant holomorphic map ''f'' from the complex plane to ''M''., p.553 Nevanlinna theory addresses the question of the distribution of va ...

s and

pseudoholomorphic curve In mathematics, specifically in topology and geometry, a pseudoholomorphic curve (or ''J''-holomorphic curve) is a smooth map from a Riemann surface into an almost complex manifold that satisfies the Cauchy–Riemann equation. Introduced in 1985 by ...

s and their applications. He has collaborated extensively with

Kenji Fukaya Kenji Fukaya (Japanese: 深谷賢治, ''Fukaya Kenji'') is a Japanese mathematician known for his work in symplectic geometry and Riemannian geometry. His many fundamental contributions to mathematics include the discovery of the Fukaya cat ...

Oh Yong-Geun Oh Yong-Geun is a mathematician and distinguished professor at the Pohang University of Science and Technology and founding director of the IBS Center for Geometry and Physics located on that campus. His fields of study have been on symplectic topo ...

, and Hiroshi Ohta (see

Fukaya category In symplectic topology, a Fukaya category of a symplectic manifold (M, \omega) is a category \mathcal F (M) whose objects are Lagrangian submanifolds of M, and morphisms are Floer chain groups: \mathrm (L_0, L_1) = FC (L_0,L_1). Its finer structur ...

). Ono was awarded by the

Mathematical Society of Japan The Mathematical Society of Japan (MSJ, ja, 日本数学会) 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 ...

in 1999 the Geometry Prize and in 2005 the Autumn Prize. He was awarded by the Inoue Foundation for Science in February 2007 the Inoue Prize 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 Nevanlinna Prize (to be rename ...

Madrid Madrid ( , ) is the capital and most populous city of Spain. The city has almost 3.4 million inhabitants and a metropolitan area population of approximately 6.7 million. It is the second-largest city in the European Union (EU), and ...

. 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