Arnold S. Shapiro

Samuel Arnold Shapiro ( born 1921 in Boston, Massachusetts, † 1962) was an American mathematician who dealt with 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 in 1950 with André Weil at the University of Chicago doctorate ( Cohomology relations of fiber bundles ). 1955 to 1957 he was at the Institute for Advanced Study. There he met his friend with him Raoul Bott and had discussions with him part in the creation of Botts Periodizitätssatz. He was a professor at Brandeis University, but died young from leukemia.

With Michael Atiyah and Bott, he turned to Bott periodicity on Grothendieck groups of Clifford algebras. From Shapiro will also enjoy their Bourbaki lecture in 1960 about his work with Atiyah and Bott and Bott added by Shapiro's death his name as co -author of their work a.

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

Writings

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