# Mathematician:Paul Julius Oswald Teichmüller

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## Mathematician

German mathematician who introduced quasiconformal mappings and differential geometric methods into complex analysis.

Usually known as **Oswald Teichmüller**.

Noted for organizing in 1933 the boycott of Edmund Georg Hermann Landau for being Jewish.

Killed in action on the Eastern Front.

## Nationality

German

## History

- Born: 18 June 1913, Nordhausen, Saxony
- Died: 11 September 1943, Dnieper, Soviet Union

## Theorems and Definitions

- Teichmüller Space
- Teichmüller Annulus
- Teichmüller Modulus Theorem
- Teichmüller Representative, or Teichmüller Character
- Teichmüller-Tukey Lemma (also known as Tukey-Teichmüller Lemma and Tukey's Lemma) (with John Wilder Tukey)
- Restricted Tukey-Teichmüller Theorem (with John Wilder Tukey)

Results named for **Paul Julius Oswald Teichmüller** can be found here.

Definitions of concepts named for **Paul Julius Oswald Teichmüller** can be found here.

## Books and Papers

- 1935:
*Operatoren im Wachsschen Raum* - 1938:
*Untersuchungen über konforme und quasikonforme Abbildungen* - 1938:
*Ungleichungen zwischen den Koeffizienten schlichter Funktionen* - 1939:
*Extremale quasikonforme Abbildungen und quadratische Differentiale* - 1941:
*Verschiebungssatz* - 1943:
*Bestimmung der extremalen quasikonformen Abbildungen bei geschlossenen orientierten Riemannschen Flächen* - 1944:
*Veränderliche Riemannsche Flächen*

## Notable Quotes

*Through yesterday's action a completely new situation has now been created. In order to restore peace in our institute it is necessary, above all, to clear up the fundamentals behind it. You spoke of your belief that what happened yesterday was an anti-Semitic demonstration. My standpoint was, and continues to be, that an anti-Jewish individual action might rather be directed against everyone else than against you. I am not concerned with making difficulties for you as a Jew, but only with protecting -- above all -- German students of the second semester from being taught differential and integral calculus by a teacher of a race quite foreign to them. I, like everyone else, do not doubt your ability to instruct suitable students of whatever origin in the purely abstract aspects of mathematics. But I know that many academic courses, especially the differential and integral calculus, have at the same time educative value, inducting the pupil not only to a conceptual world but also to a different frame of mind. But since the latter depends very substantially on the racial composition of the individual, it follows that an Aryan student should not be allowed to be trained by a Jewish teacher.*