# Mathematician:Solomon Lefschetz

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## Contents

## 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
- Picard-Lefschetz Formula
- Lefschetz Principle (First-Order)
- Lefschetz Fixed Point Theorem

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**: 1 – 49) www.jstor.org/stable/1989171

- 1927:
*Fixed Point Theorem*(*Trans. Amer. Math. Soc.***Vol. 29**: 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**: 344 – 350) www.jstor.org/stable/2316140

## Also known as

In Russian: **Соломо́н Ле́фшец**

## Sources

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

- 2008: David Nelson:
*The Penguin Dictionary of Mathematics*(4th ed.) ... (previous) ... (next): Entry:**Lefschetz, Solomon**(1884-1972)