Katsumi Nomizu
| Katsumi Nomizu 野水 克己 |
|
|---|---|
| Born |
December 1, 1924 Osaka, Japan |
| Died | November 5, 2008 (aged 83) Providence, Rhode Island |
| Fields | Mathematics |
| Doctoral advisor | Shiing-Shen Chern |
| Known for |
Kulkarni-Nomizu product Foundations of Differential Geometry |
Katsumi Nomizu (野水 克己 Nomizu Katsumi?, December 1, 1924 – November 5, 2008) was a Japanese-American mathematician known for his work in differential geometry.
Nomizu was born in Osaka, Japan on the first day of December, 1924. He studied mathematics at Osaka University, graduating in 1947 with a master of science then traveled to the United States on a U.S. Army Fulbright Scholarship. He studied first at Columbia University and then at the University of Chicago where in 1953 he became the first student to earn a Ph.D. under the thesis direction of the renowned geometer Professor Shiing-Shen Chern. The subject was affine differential geometry, a topic to which he would return much later in his career. He presented his thesis, Invariant affine connections on homogeneous spaces in 1953.
Returning to Japan, he studied at Nagoya University, obtaining a doctor of science in 1955. He published his first volume, Lie Groups and Differential Geometry dedicated to his wife Kimiko whom he had married that same year. Nomizu taught at Nagoya University until 1958 when he accepted a position at Catholic University in Washington D.C. His first Ph.D. student there was Fr. Andrew Whitman, SJ, founder of the Clavius Research Group, who maintained a close relationship with his advisor over the years.
In 1960 he began his thirty-five-year career with Brown University, first as associate professor, then becoming full professor in 1963. During this time he embarked on a major collaborative project with Professor Shoshichi Kobayashi at the University of California, Berkeley, resulting in the classic two-volume work, Foundations of Differential Geometry in 1963. This book became the standard reference for all subsequent work in this important and broad field. A second volume completed the project in 1969. A mark of the style of these two mathematicians is that in the more than 700 pages in this work on geometry, there is not a single diagram or picture.
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