Hideki Omori (, born December 3, 1938) is a Japanese

mathematician A mathematician is someone who uses an extensive knowledge of mathematics in their work, typically to solve mathematical problems. Mathematicians are concerned with numbers, data, quantity, mathematical structure, structure, space, Mathematica ...

who specialized in

geometry Geometry (; ) is a branch of mathematics concerned with properties of space such as the distance, shape, size, and relative position of figures. Geometry is, along with arithmetic, one of the oldest branches of mathematics. A mathematician w ...

and worked at

Tokyo University of Science , formerly "Science University of Tokyo" or TUS, informally or simply is a private research university located in Shinjuku, Tokyo, Japan. History Tokyo University of Science was founded in 1881 as The Tokyo Academy of Physics by 21 graduate ...

Life and career

Hideki Omori was born in

Nishinomiya 270px, Nishinomiya City Hall 270px, Aerial view of Nishinomiya city center 1985 270px, Hirota Shrine is a city located in Hyōgo Prefecture, Japan. , the city had an estimated population of 484,368 in 218,948 households and a population density ...

Hyōgo Prefecture is a Prefectures of Japan, prefecture of Japan located in the Kansai region of Honshu. Hyōgo Prefecture has a population of 5,469,762 () and a geographic area of . Hyōgo Prefecture borders Kyoto Prefecture to the east, Osaka Prefecture to th ...

, on December 3, 1938. He completed both his undergraduate and graduate studies at the

University of Tokyo The University of Tokyo (, abbreviated as in Japanese and UTokyo in English) is a public research university in Bunkyō, Tokyo, Japan. Founded in 1877 as the nation's first modern university by the merger of several pre-westernisation era ins ...

. In 1966, he was awarded his

Ph.D. A Doctor of Philosophy (PhD, DPhil; or ) is a terminal degree that usually denotes the highest level of academic achievement in a given discipline and is awarded following a course of graduate study and original research. The name of the deg ...

degree for his dissertation on the study of

transformation group In mathematics, the automorphism group of an object ''X'' is the group consisting of automorphisms of ''X'' under composition of morphisms. For example, if ''X'' is a finite-dimensional vector space, then the automorphism group of ''X'' is the gr ...

s on

manifold In mathematics, a manifold is a topological space that locally resembles Euclidean space near each point. More precisely, an n-dimensional manifold, or ''n-manifold'' for short, is a topological space with the property that each point has a N ...

s. After completing his doctoral studies, Omori began his professional academic career at

Tokyo Metropolitan University , often referred to as TMU, is a Public university, public research university in Hachiōji, Hachioji, Tokyo, Japan. In contrast to other non-private universities in Tokyo, the university is established under the Tokyo Metropolitan Government, ...

, where he held his first research position. In 1967, early in his career, he was invited to the

Institute for Advanced Study The Institute for Advanced Study (IAS) is an independent center for theoretical research and intellectual inquiry located in Princeton, New Jersey. It has served as the academic home of internationally preeminent scholars, including Albert Ein ...

Princeton University Princeton University is a private university, private Ivy League research university in Princeton, New Jersey, United States. Founded in 1746 in Elizabeth, New Jersey, Elizabeth as the College of New Jersey, Princeton is the List of Colonial ...

. This was followed by a position at the Mathematics Institute at the

University of Warwick The University of Warwick ( ; abbreviated as ''Warw.'' in post-nominal letters) is a public research university on the outskirts of Coventry between the West Midlands and Warwickshire, England. The university was founded in 1965 as part of ...

in 1970, and later at

Bonn University The University of Bonn, officially the Rhenish Friedrich Wilhelm University of Bonn (), is a public research university in Bonn, North Rhine-Westphalia, Germany. It was founded in its present form as the () on 18 October 1818 by Frederick Will ...

in 1972. Together with Akira Yoshioka, he wrote an introductory

calculus Calculus is the mathematics, mathematical study of continuous change, in the same way that geometry is the study of shape, and algebra is the study of generalizations of arithmetic operations. Originally called infinitesimal calculus or "the ...

textbook: . During his time at Warwick, he developed a strong interest in the work of K. David Elworthy on

stochastic analysis Stochastic calculus is a branch of mathematics that operates on stochastic processes. It allows a consistent theory of integration to be defined for integrals of stochastic processes with respect to stochastic processes. This field was created an ...

. Omori is credited with being the first person to introduce Elworthy's work on stochastic analysis to the Japanese mathematical community. In 1980, Omori moved to

Okayama University is a national university in Japan. The main campus is located in Tsushima-Naka, Okayama, Okayama Prefecture. The school was founded in 1870 and it was established as a university in 1949. In 2014, the university was selected as one of the 37 T ...

, where he continued his research and teaching. Two years later, in 1982, he joined the faculty of

as a professor. In 1996, he was awarded the

Geometry Prize 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 ...

of 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 ...

. Omori continued his active research well beyond typical retirement age, focusing particularly on problems of

deformation quantization In mathematics and physics, deformation quantization roughly amounts to finding a (quantum) algebra whose classical limit is a given (classical) algebra such as a Lie algebra or a Poisson algebra. In physics Intuitively, a deformation of a math ...

beginning in 1999. His retirement from Tokyo University of Science was celebrated in April 2004 with an conference held at the Morito Hall of Tokyo University of Science.

Selected publications

*Omori, Hideki. "Isometric immersions of Riemannian manifolds." ''Journal of the Mathematical Society of Japan'' 19.2 (1967): 205–214. *Omori, Hideki, Yoshiaki Maeda, and Akira Yoshioka. "Weyl manifolds and deformation quantization." ''

Advances in Mathematics ''Advances in Mathematics'' is a peer-reviewed scientific journal covering research on pure mathematics. It was established in 1961 by Gian-Carlo Rota. The journal publishes 18 issues each year, in three volumes. At the origin, the journal aimed ...

'' 85.2 (1991): 224–255. *Omori, Hideki. "Groups of diffeomorphisms and their subgroups." ''

Transactions of the American Mathematical Society The ''Transactions of the American Mathematical Society'' is a monthly peer-reviewed scientific journal of pure and applied mathematics published by the American Mathematical Society. It was established in 1900. As a requirement, all articles must ...

'' 179 (1973): 85–122.

References

{{Authority control Geometers Textbook writers Japanese mathematicians 1938 births Living people 20th-century Japanese mathematicians University of Tokyo alumni

Life and career

See also

Selected publications

References