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Irving Kaplansky
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Irving Kaplansky : ウィキペディア英語版
Irving Kaplansky

Irving Kaplansky (March 22, 1917 – June 25, 2006) was a mathematician, college professor, author, and musician.
==Biography==
Kaplansky (or "Kap," as his friends and colleagues called him) was born in Toronto, Ontario, Canada, to Polish-Jewish immigrants;〔(Irving Kaplansky Memoir by Nancy E. Albert )〕〔(Making Family Stories into Art )〕 his father worked as a tailor, and his mother ran a grocery and, eventually, a chain of bakeries.〔〔(Irving Kaplansky — mathematician and author )〕〔(In memoriam: Irving Kaplansky )〕 He attended the University of Toronto as an undergraduate. In his senior year, he competed in the first William Lowell Putnam Mathematical Competition, becoming one of the first five recipients of the Putnam Fellowship, which paid for graduate studies at Harvard University.〔
After receiving his Ph.D. from Harvard in 1941 as Saunders Mac Lane's first student, he remained at Harvard as a Benjamin Pierce Instructor, and in 1944 moved with Mac Lane to Columbia University for a year where he worked on the Manhattan Project, collaborating with many of the brilliant minds in mathematics like John von Neumann. He was professor of mathematics at the University of Chicago from 1945 to 1984, and Chair of the department from 1962 to 1967. Kaplansky was the Director of the Mathematical Sciences Research Institute from 1984 to 1992, and the President of the American Mathematical Society from 1985 to 1986.
Kaplansky was also an accomplished amateur musician. He had perfect pitch, studied piano until the age of 15, earned money in high school as a dance band musician, taught Tom Lehrer, and played in Harvard's jazz band in graduate school. He also had a regular program on Harvard's student radio station. After moving to the University of Chicago, he stopped playing for two decades, but then returned to music as an accompanist for student-run Gilbert and Sullivan productions and as a calliope player in football game parades.〔.〕 He often composed music based on mathematical themes. One of those compositions, ''A Song About Pi'', is a melody based on assigning notes to the first 14 decimal places of pi, and has occasionally been performed by his daughter, singer-songwriter Lucy Kaplansky.

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