# Mathematician:Lars Valerian Ahlfors

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## Mathematician

Finnish mathematician noted for his work in analysis.

### Fields Medal

Lars Valerian Ahlfors was awarded a Fields Medal in $\text {1936}$ at the International Congress of Mathematicians in Oslo:

*Awarded medal for research on covering surfaces related to Riemann surfaces of inverse functions of entire and meromorphic functions. Opened up new fields of analysis.*

### Wolf Prize

Lars Valerian Ahlfors was awarded a Wolf Prize for Mathematics in $\text {1981}$:

*For seminal discoveries and the creation of powerful new methods in geometric function theory.*

## Nationality

Finnish

## History

- Born: 18 April 1907, Helsingfors, Finland, Russian Empire (now Helsinki, Finland)
- Died: 11 Oct 1996, Pittsfield, Massachusetts, USA

## Theorems and Definitions

- Schwarz-Ahlfors-Pick Theorem (with Karl Hermann Amandus Schwarz and Georg Alexander Pick)
- Denjoy-Carleman-Ahlfors Theorem (with Tage Gills Torsten Carleman and Arnaud Denjoy)

Results named for **Lars Valerian Ahlfors** can be found here.

## Publications

- 1937:
*Über die Blochsche Konstante*(*Math. Z.***Vol. 42**: pp. 671 – 673) (with Helmut Grunsky) - 1953:
*Contributions to the Theory of Riemann Surfaces: Annals of Mathematics Studies*(ISBN 0-691-07939-0)

- 1953:
*Complex Analysis*- 1966:
*Complex Analysis, 2nd ed.* - 1979:
*Complex Analysis, 3rd ed.*

- 1966:

- 1960:
*Riemann surfaces*(with L. Sario) - 1966:
*Fundamental Polyhedrons and Limit Point Sets of Kleinian Groups* - 1966:
*Lectures on quasi-conformal mappings* - 1973:
*Conformal Invariants: Topics in Geometric Function Theory*