Kenji Fukaya

Kenji Fukaya
Kenji Fukaya (left) with Paul Seidel, Oberwolfach 2002
Native name	深谷賢治
Born	(1959-03-12) March 12, 1959 (age 58) Kanagawa prefecture, Japan
Nationality	Japanese
Fields	Mathematician
Institutions	Simons Center for Geometry and Physics Stony Brook University
Alma mater	University of Tokyo

Kenji Fukaya (Japanese: 深谷賢治, Fukaya Kenji, born March 12, 1959) 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 category. He is a permanent faculty member at the Simons Center for Geometry and Physics and a professor of mathematics at Stony Brook University.

Fukaya was both an undergraduate and a graduate student in mathematics at the University of Tokyo, receiving his BA in 1981, and his PhD in 1986. In 1987, he joined the University of Tokyo faculty as an Associate Professor. He then moved to Kyoto University as a full professor in 1994. In 2013, he then moved to the United States in order to join the faculty of the Simons Center for Geometry and Physics at Stony Brook.

The Fukaya category, meaning the ${\displaystyle A_{\infty }}$ category of whose objects are Lagrangian submanifolds of a given symplectic manifold, is named after him, and is intimately related to Floer homology. Other contributions to symplectic geometry include his proof, with Kaoru Ono, of a weak version of the Arnold conjecture. His many other mathematical contributions include important theorems in Riemannian geometry and work on physics-related topics such as gauge theory and mirror symmetry.