Mathematician:Solomon Lefschetz

Mathematician

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.

Nationality

Russian-born American

History

• Born: 3 September 1884 in Moscow, Russia
• Died: 5 October 1972 in Princeton, New Jersey, USA

Theorems and Definitions

• Lefschetz Number
• Lefschetz Pencil

• Lefschetz Fixed Point Theorem (also known as the Lefschetz Theorem)
• Lefschetz Principle (First-Order)

• Picard-Lefschetz Formula (with Charles Émile Picard)

Results named for Solomon Lefschetz can be found here.

Definitions of concepts named for Solomon Lefschetz can be found here.

Publications

• 1911: On the existence of loci with given singularities

• 1921: On certain numerical invariants of algebraic varieties with application to abelian varieties

• 1924: L'analysis situs et la géométrie algébrique

• 1926: Intersections and transformations of complexes and manifolds (Trans. Amer. Math. Soc. Vol. 28: pp. 1 – 49)  www.jstor.org/stable/1989171

• 1927: Fixed Point Theorem (Trans. Amer. Math. Soc. Vol. 29: pp. 429 – 462)  www.jstor.org/stable/1989219

• 1930: Topology

• 1924: Algebraic Topology

• 1949: Introduction to Topology

• 1961: Stability by Liapunov's direct method with applications (with Joseph P. LaSalle)

• 1953: Algebraic Geometry (2nd edn. 1964)

• 1957: Differential equations: geometric theory (2nd edn. 1963)

• 1965: Stability of nonlinear control systems

• 1970: Reminiscences of a mathematical immigrant in the United States (Amer. Math. Monthly Vol. 77: pp. 344 – 350)  www.jstor.org/stable/2316140

Also known as

In Russian: Соломо́н Ле́фшец

Some sources erroneously render his name as Lefshetz.

Sources

• John J. O'Connor and Edmund F. Robertson: "Solomon Lefschetz": MacTutor History of Mathematics archive

• 1998: David Nelson: The Penguin Dictionary of Mathematics (2nd ed.) ... (previous) ... (next): Lefschetz, Solomon (1884-1972)
• 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): Lefschetz, Solomon (1884-1972)