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 , mottoeng = Freedom of academic culture , established = , type = Public (National) , endowment = ¥ 316 billion (2.4 billion USD) , faculty = 3,480 (Teaching Staff) , administrative_staff = 3,978 (Total Staff) , students = 22 ...

. 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 List of cities in Japan, largest city of Japan. Formerly known as Edo, its metropolitan area () is the most populous in the world, ...

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 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 cate ...

, Oh Yong-Geun, and Hiroshi Ohta (see Fukaya category). 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 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 ...

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), an ...

. 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