Helmut Hasse

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Helmut Hasse
Helmut Hasse.jpg
Born (1898-08-25)25 August 1898
Kassel, Hesse-Nassau, Prussia
Died 26 December 1979(1979-12-26) (aged 81)
Ahrensburg, Schleswig-Holstein, West Germany
Nationality German
Fields Mathematics
Alma mater University of Marburg
University of Göttingen
Thesis Über die Darstellbarkeit von Zahlen durch quadratische Formen im Körper der rationalen Zahlen (1922)
Doctoral advisor Kurt Hensel
Doctoral students Cahit Arf
Wolfgang Franz
Paul Lorenzen
Curt Meyer
Günter Pickert
Hans Reichardt
Peter Roquette
Otto Schilling
Oswald Teichmüller
Other notable students Paul Lorenzen

Helmut Hasse (German: [ˈhasə]; 25 August 1898 – 26 December 1979) was a German mathematician working in algebraic number theory, known for fundamental contributions to class field theory, the application of p-adic numbers to local classfield theory and diophantine geometry (Hasse principle), and to local zeta functions.


He was born in Kassel, and died in Ahrensburg.

After serving in the navy in World War I, he studied at the University of Göttingen, and then at Marburg under Kurt Hensel, writing a dissertation in 1921 containing the Hasse–Minkowski theorem, as it is now called, on quadratic forms over number fields. He then held positions at Kiel, Halle and Marburg. He was Hermann Weyl's replacement at Göttingen in 1934.

In 1933 Hasse had signed the Loyalty Oath of German Professors to Adolf Hitler and the National Socialist State.

Politically, he was a right-wing nationalist and applied for membership in the Nazi Party in 1937, but this was denied to him due to his Jewish ancestry.[1] After the war, he briefly returned to Göttingen in 1945, but was excluded by the British authorities. After brief appointments in Berlin, from 1948 on he settled permanently as professor in Hamburg.

He collaborated with many mathematicians, in particular with Emmy Noether and Richard Brauer on simple algebra, and with Harold Davenport on Gauss sums (Hasse–Davenport relations), and with Cahit Arf on the Hasse–Arf theorem.


See also


  1. Helmut Hasse und die Familie Mendelssohn, By Peter Roquette. The Nazi mathematician Prof. de (Erhard Tornier) pointed out that Helmut Hasse had a Jewish great grandmother.
  2. 2.0 2.1 Kaplansky, Irving (1981). "Review: Number theory, by Helmut Hasse". Bull. Amer. Math. Soc. (N.S.). 4 (2): 249–250. doi:10.1090/s0273-0979-1981-14899-0.<templatestyles src="Module:Citation/CS1/styles.css"></templatestyles>
  3. Chevalley, C. (1953). "Review: Über die Klassenzahl abelscher Zahlkörper, by Helmut Hasse". Bull. Amer. Math. Soc. 59 (3): 281–282. doi:10.1090/s0002-9904-1953-09709-9.<templatestyles src="Module:Citation/CS1/styles.css"></templatestyles>

External links