Arnold Samuel Shapiro

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Arnold Samuel Shapiro (* 1921 in Boston , Massachusetts ; † 1962 ) was an American mathematician who studied geometric topology .

Shapiro studied with Norman Steenrod at the University of Michigan with a master's degree in 1949 ( Group extensions on compact groups ) and received his doctorate in 1950 with André Weil at the University of Chicago ( Cohomology relations of fiber bundles ). From 1955 to 1957 he was at the Institute for Advanced Study . There he met Raoul Bott, who was a friend of his, and in discussions with him he contributed to the development of Bott's theorem of periodicity. He was a professor at Brandeis University but died early of leukemia .

With Michael Atiyah and Bott he applied Bott periodicity to Grothendieck groups of Clifford algebras. Shapiro gave a Bourbaki lecture in 1960 about his work with Bott and Atiyah and Bott added his name as a co-author of their work after Shapiro's death.

In 1960 he gave a method of eversion of the sphere at ( Turning a sphere inside out , turning inside the sphere ), by Bernard Morin in 1980 in the Mathematical Intelligencer was shown.

Fonts

  • with Michael Atiyah, Raoul Bott: Clifford Modules , Topology, Volume 3, Suppl. 1, 1964, pp. 3-38
  • with JHC Whitehead : A proof and extension of Dehn's lemma , Bulletin AMS, Volume 64, 1958, pp. 174-178.

Individual evidence

  1. ↑ Life data according to Dieudonné Panorama of Pure Mathematics , Academic Press 1977 and membership book IAS 1980
  2. ↑ Annals of Mathematics, Volume 50, 1948, p. 501
  3. ^ Mathematics Genealogy Project
  4. ^ Interview Bott, Notices AMS, 2001, Issue 4, pdf
  5. ^ Shapiro Algèbres de Clifford et périodicité des groupes . Séminaire Bourbaki, Exposé No. 215, 1960/61 ( Memento from May 3, 2016 in the Internet Archive )
  6. ↑ George Francis, Bernard Morin Arnold Shapiro's Eversion of the Sphere , Mathematical Intelligencer, Volume 2, 1980, Issue 4, pp. 200-203
personal data
SURNAME Shapiro, Arnold Samuel
ALTERNATIVE NAMES Shapiro, Arnold
BRIEF DESCRIPTION American mathematician
DATE OF BIRTH 1921
PLACE OF BIRTH Boston , Massachusetts
DATE OF DEATH 1962