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Solomon Lefschetz information


Solomon Lefschetz
ForMemRS
Born(1884-09-03)3 September 1884
Moscow, Russian Empire
Died5 October 1972(1972-10-05) (aged 88)
Princeton, New Jersey, US
CitizenshipUS
Alma materÉcole Centrale Paris
Clark University
Known forLefschetz fixed-point theorem
Picard–Lefschetz theory
Lefschetz connection
Lefschetz hyperplane theorem
Lefschetz duality
Lefschetz manifold
Lefschetz number
Lefschetz principle
Lefschetz zeta function
Lefschetz pencil
Lefschetz theorem on (1,1)-classes
AwardsBôcher Memorial Prize (1924)
National Medal of Science (1964)
Leroy P. Steele Prize (1970)
Fellow of the Royal Society[1]
Scientific career
FieldsAlgebraic topology
Institutions
  • University of Nebraska
  • University of Kansas
  • Princeton University
  • National Autonomous University of Mexico[2]
  • Brown University
ThesisOn the Existence of Loci with Given Singularities (1911)
Doctoral advisorWilliam Edward Story[3]
Doctoral studentsEdward Begle
Richard Bellman
Felix Browder
Clifford Dowker
George F. D. Duff
Ralph Fox
Ralph Gomory
John McCarthy
Robert Prim
Paul A. Smith
Norman Steenrod
Arthur Harold Stone
Clifford Truesdell
Albert W. Tucker
John Tukey
Henry Wallman
Shaun Wylie[3]
Other notable studentsSylvia de Neymet

Solomon Lefschetz ForMemRS (Russian: Соломо́н Ле́фшец; 3 September 1884 – 5 October 1972) was a Russian-born American mathematician who did fundamental work on algebraic topology, its applications to algebraic geometry, and the theory of non-linear ordinary differential equations.[3][1][4][5]

  1. ^ a b Hodge, W. V. D. (1973). "Solomon Lefschetz 1884-1972". Biographical Memoirs of Fellows of the Royal Society. 19: 433–453. doi:10.1098/rsbm.1973.0016. S2CID 122747688.
  2. ^ "Mathematics in Mexico" (PDF). Sociedad Matematica Mexicana.
  3. ^ a b c Solomon Lefschetz at the Mathematics Genealogy Project
  4. ^ Markus, L. (1973). "Solomon Lefschetz: An appreciation in memoriam". Bull. Amer. Math. Soc. 79 (4): 663–680. doi:10.1090/s0002-9904-1973-13256-2.
  5. ^ O'Connor, John J.; Robertson, Edmund F., "Solomon Lefschetz", MacTutor History of Mathematics Archive, University of St Andrews

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Solomon Lefschetz

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Solomon Lefschetz ForMemRS (Russian: Соломо́н Ле́фшец; 3 September 1884 – 5 October 1972) was a Russian-born American mathematician who did fundamental...

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Lefschetz hyperplane theorem

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X determine those of Y. A result of this kind was first stated by Solomon Lefschetz for homology groups of complex algebraic varieties. Similar results...

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Lefschetz duality

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formulation was introduced by Solomon Lefschetz (1926), at the same time introducing relative homology, for application to the Lefschetz fixed-point theorem. There...

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Algebraic geometry and analytic geometry

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the function field. In the twentieth century, the Lefschetz principle, named for Solomon Lefschetz, was cited in algebraic geometry to justify the use...

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Lefschetz pencil

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In mathematics, a Lefschetz pencil is a construction in algebraic geometry considered by Solomon Lefschetz, used to analyse the algebraic topology of an...

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Oscar Zariski

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Zariski. Zariski emigrated to the United States in 1927 supported by Solomon Lefschetz. He had a position at Johns Hopkins University where he became professor...

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Ralph Fox

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dissertation, On the Lusternick–Schnirelmann Category, was directed by Solomon Lefschetz. (In later years he disclaimed all knowledge of the Lusternik–Schnirelmann...

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Duke Mathematical Journal

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Coble, and Joseph Miller Thomas. The first issue included a paper by Solomon Lefschetz. Leonard Carlitz served on the editorial board for 35 years, from...

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Limit cycle

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Hurewicz, "Lectures on Ordinary Differential Equations", Dover, 2002. Solomon Lefschetz, "Differential Equations: Geometric Theory", Dover, 2005. Lawrence...

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Bernhard Riemann

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(symmetric, real part negative). By Ferdinand Georg Frobenius and Solomon Lefschetz the validity of this relation is equivalent with the embedding of...

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Norman Steenrod

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Princeton University. He completed his Ph.D. under the direction of Solomon Lefschetz, with a thesis titled Universal homology groups. Steenrod held positions...

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Hodge theory

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cohomology is the dual of singular homology. Separately, a 1927 paper of Solomon Lefschetz used topological methods to reprove theorems of Riemann. In modern...

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Algebraic topology

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Hurewicz Egbert van Kampen Daniel Kan Hermann Künneth Ruth Lawrence Solomon Lefschetz Jean Leray Saunders Mac Lane Mark Mahowald J. Peter May Barry Mazur...

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James Waddell Alexander II

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influential Princeton topology elite, which included Oswald Veblen, Solomon Lefschetz, and others. He was one of the first members of the Institute for...

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List of American mathematicians

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Holly Krieger Harold W. Kuhn (1925–2014) Kenneth Kunen (1943–2020) Solomon Lefschetz (1884–1972) Suzanne Lenhart (b. 1954) researcher in partial differential...

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Arthur Harold Stone

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Connectedness and Coherence, was written in 1941 under the direction of Solomon Lefschetz. He served as a referee for The American Mathematical Monthly journal...

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Annals of Mathematics

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Princeton in 1911. An important period for the journal was 1928–1958 with Solomon Lefschetz as editor. During this time, it became an increasingly well-known...

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Lipschitz

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American actor, and television personality, born Harold Lipschitz Solomon Lefschetz (1884–1972), Russian–US mathematician Joachim Lipschitz, German politician...

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John von Neumann Prize

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Ahlfors 1961: Mark Kac 1962: Jean Leray 1963: Stanislaw M. Ulam 1964: Solomon Lefschetz 1965: Freeman Dyson 1966: Eugene P. Wigner 1967: Chia-Chiao Lin 1968:...

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John von Neumann

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(1929–1930) Luther P. Eisenhart (1931–1932) Arthur Byron Coble (1933–1934) Solomon Lefschetz (1935–1936) Robert Lee Moore (1937–1938) Griffith C. Evans (1939–1940)...

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Brown University

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Scott; mathematicians David Gale, David Mumford, Mary Cartwright, and Solomon Lefschetz; physicists Sylvester James Gates and Gerald Guralnik. Faculty in...

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Felix Browder

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University Massachusetts Institute of Technology Doctoral advisor Solomon Lefschetz Witold Hurewicz Doctoral students Richard Beals Thomas K. Donaldson...

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