German mathematician (1898–1979)
Helmut Hasse (German:
[ˈhasə] ; 25 August 1898 – 26 December 1979) was a German
mathematician
[1] working in
algebraic number theory , known for fundamental contributions to
class field theory , the application of
p -adic numbers to
local class field theory and
diophantine geometry (
Hasse principle ), and to
local zeta functions .
Life
Hasse was born in
Kassel ,
Province of Hesse-Nassau ,
[2] the son of Judge Paul Reinhard Hasse, also written Haße (12 April 1868 – 1 June 1940,
[3] son of Friedrich Ernst Hasse and his wife Anna Von Reinhard) and his wife Margarethe Louise Adolphine Quentin (born 5 July 1872 in
Milwaukee , daughter of retail toy merchant
[4] Adolph Quentin (b. May 1832, probably
Berlin ,
Kingdom of Prussia ) and Margarethe Wehr (b. about 1840, Prussia),
[5] then raised in Kassel).
[6]
After serving in the
Imperial German Navy in
World War I , he studied at the
University of Göttingen , and then at the
University of 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.
Hasse was an Invited Speaker of the
International Congress of Mathematicians (ICM) in 1932 in
Zürich and a Plenary Speaker of the ICM in 1936 in
Oslo .
[7]
In 1933 Hasse had signed the
Vow of allegiance of the Professors of the German Universities and High-Schools to Adolf Hitler and the National Socialistic State .
Politically, he applied for membership in the Nazi Party in 1937, but this was denied to him allegedly due to his remote
Jewish ancestry.
[8] 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 at
University of Hamburg .
He collaborated with many mathematicians, in particular with
Emmy Noether and
Richard Brauer on
simple algebras , and with
Harold Davenport on
Gauss sums (
Hasse–Davenport relations ), and with
Cahit Arf on the
Hasse–Arf theorem .
Publications
Leopoldt, Heinrich-Wolfgang ;
Roquette, Peter , eds. (1975), Helmut Hasse: Mathematische Abhandlungen , de Gruyter (3 vols.)
Number theory , Springer, 1980, 2002 (Eng. trans. of Zahlentheorie , 3rd edn., Akademie Verlag 1969)
[9]
Vorlesungen über Zahlentheorie , Springer, 1950
[9]
Über die Klassenzahl abelscher Zahlkörper , Akademie Verlag, Berlin, 1952.
[10]
Höhere Algebra vols. 1, 2, Sammlung Göschen, 1967, 1969
Vorlesungen über Klassenkörpertheorie , physica Verlag, Würzburg 1967
Hasse, H. (1926),
"Bericht über neuere Untersuchungen und Probleme aus der Theorie der algebraischen Zahlkörper. I: Klassenkörpertheorie." ,
Jahresbericht der Deutschen Mathematiker-Vereinigung (in German), 35 : 1–55
Hasse, H. (1927),
"Bericht über neuere Untersuchungen und Probleme aus der Theorie der algebraischen Zahlkörper. Teil Ia: Beweise zu I." ,
Jahresbericht der Deutschen Mathematiker-Vereinigung (in German), 36 : 233–311
Hasse, H. (1930), "Bericht über neuere Untersuchungen und Probleme aus der Theorie der algebraischen Zahlkörper. Teil II: Reziprozitätsgesetz",
Jahresbericht der Deutschen Mathematiker-Vereinigung (in German), Ergänzungsband 6
Bericht über neuere Untersuchungen und Probleme aus der Theorie der algebraischen Zahlkörper , 1965 (reprint from Berichts aus dem Jahresbericht der DMV 1926/27)
New edn. of Algebraische Theorie der Körper by Ernst Steinitz, together with Reinhold Baer, with a new appendix on Galois theory. Walter de Gruyter 1930.
Hasse Mathematik als Wissenschaft, Kunst und Macht , DMV Mitteilungen 1997, Nr.4 (Published version of a lecture given at the University of Hamburg 1959)
Hasse „Geschichte der Klassenkörpertheorie“, Jahresbericht DMV 1966
Hasse „Die moderne algebraische Methode“, Jahresbericht DMV 1930
Brauer, Hasse, Noether „Beweis eines Hauptsatzes in der Theorie der Algebren“, Journal reine angew.Math. 1932
Hasse „Theorie der abstrakten elliptischen Funktionenkörper 3- Riemann Vermutung“, Journal reine angew. Math., 1936
Hasse „Über die Darstellbarkeit von Zahlen durch quadratische Formen im Körper der rationalen Zahlen“, Journal reine angew.Math. 1923
See also
References
^
Helmut Hasse at the
Mathematics Genealogy Project
^
Hellmuth Haße in the Hesse, Germany, Births, 1851-1901 ; Hessisches Hauptstaatsarchiv; Wiesbaden, Deutschland; Personenstandsregister Geburtenregister; Bestand: 910; Signatur: 910_5132; accessed 31 March 2018 Ancestry.com. Hesse, Germany, Births, 1851-1901. Lehi, UT, USA: Ancestry.com Operations, Inc., 2016.
^
Paul Reinhard Hasse in the Hesse, Germany, Deaths, 1851-1958 , Personenstandsregister Sterberegister; Bestand: 910; Signatur: 5683; Ancestry.com. Hesse, Germany, Deaths, 1851-1958 paid subscription website. Provo, UT, USA: Ancestry.com Operations, Inc., 2016.
^
1870 U.S. Federal Census: Adolph Quentin , accessed 31 March 2018, paid subscription ancestry.com website.
^
Margarethe Louise Adolphine Quentin in the Hesse, Germany, Marriages, 1849-1930 ; Hessisches Hauptstaatsarchiv; Wiesbaden, Deutschland; Personenstandsregister Heiratsregister; Bestand: 910; Ancestry.com. Hesse, Germany, Marriages, 1849-1930. Lehi, UT, USA: Ancestry.com Operations, Inc., 2016.
^ Harold Edwards, Artikel Helmut Hasse in
Dictionary of Scientific Biography
^ Hasse, H. (1937). "Über die riemannsche Vermutung in Funktionenkörpern". In: Comptes rendus du Congrès international des mathématiciens: Oslo, 1936 . Vol. 1. pp. 189–206.
^
Helmut Hasse und die Familie Mendelssohn , By Peter Roquette. The Nazi mathematician Prof.
Erhard Tornier [
de ] pointed out that Helmut Hasse had a Jewish great grandmother.
^
a
b
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 .
^
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 .
External links
International National Academics People Other