Samuel Eilenberg
Samuel Eilenberg | |
---|---|
Awards | Wolf Prize (1986) Leroy P. Steele Prize (1987) |
Scientific career | |
Fields | Mathematics |
Institutions | Columbia University |
Thesis | On the Topological Applications of Maps onto a Circle (1936) |
Doctoral advisors | Kazimierz Kuratowski Karol Borsuk |
Doctoral students | Jonathan Beck David Buchsbaum Martin Golumbic Daniel Kan William Lawvere Ramaiyengar Sridharan Myles Tierney |
Samuel Eilenberg (September 30, 1913 – January 30, 1998) was a Polish-American mathematician who co-founded category theory (with Saunders Mac Lane) and homological algebra.
Early life and education
He was born in Warsaw, Kingdom of Poland to a Jewish family. He spent much of his career as a professor at Columbia University.
He earned his Ph.D. from University of Warsaw in 1936, with thesis On the Topological Applications of Maps onto a Circle; his thesis advisors were Kazimierz Kuratowski and Karol Borsuk.[1] He died in New York City in January 1998.
Career
Eilenberg's main body of work was in
Eilenberg was a member of Bourbaki and, with Henri Cartan, wrote the 1956 book Homological Algebra.[2]
Later in life he worked mainly in pure category theory, being one of the founders of the field. The
Eilenberg contributed to automata theory and algebraic automata theory. In particular, he introduced a model of computation called X-machine and a new prime decomposition algorithm for finite state machines in the vein of Krohn–Rhodes theory.
Art collection
Eilenberg was also a prominent collector of Asian art. His collection mainly consisted of small sculptures and other artifacts from India, Indonesia, Nepal, Thailand, Cambodia, Sri Lanka and Central Asia. In 1991–1992, the Metropolitan Museum of Art in New York staged an exhibition from more than 400 items that Eilenberg had donated to the museum, entitled The Lotus Transcendent: Indian and Southeast Asian Art From the Samuel Eilenberg Collection.[3] In reciprocity, the Metropolitan Museum of Art donated substantially to the endowment of the Samuel Eilenberg Visiting Professorship in Mathematics at Columbia University.[4]
Selected publications
- Eilenberg, Samuel (1974). Automata, Languages and Machines, Volume A. ISBN 0-12-234001-9.
- Eilenberg, Samuel (1976). Automata, Languages and Machines, Volume B. Academic Press. ISBN 0-12-234002-7.
- Eilenberg, Samuel; MR 0085510.
- Eilenberg, Samuel; JSTOR 1969165.
- Eilenberg, Samuel; JSTOR 1969365.
- Eilenberg, Samuel; ISSN 0040-9383
- Eilenberg, Samuel; MR 0009588.
- Eilenberg, Samuel; PMID 16578143.
- Eilenberg, Samuel;
See also
- Stefan Banach
- Stanislaw Ulam
- Eilenberg–Montgomery fixed point theorem
Footnotes
- ^ Samuel Eilenberg at the Mathematics Genealogy Project
- .
- ^ Pace, Eric (February 3, 1998), "Samuel Eilenberg, 84, Dies; Mathematician at Columbia", The New York Times
- Freyd, Peter; Heller, Alex; Mac Lane, Saunders (1998). "Samuel Eilenberg (1913–1998)" (PDF). Notices of the American Mathematical Society. 45 (10): 1344–1352.
- .
External links
- O'Connor, John J.; Robertson, Edmund F., "Samuel Eilenberg", MacTutor History of Mathematics Archive, University of St Andrews
- Eilenberg's biography − from the Peter Freyd, Alex Heller and Saunders Mac Lane.