Alexander Aigner (18 May 1909 – 2 September 1988) was
number theorist
Number theory (or arithmetic or higher arithmetic in older usage) is a branch of pure mathematics devoted primarily to the study of the integers and integer-valued functions. German mathematician Carl Friedrich Gauss (1777–1855) said, "Math ...
and a full university professor for
mathematics at the
Karl Franzens University in
Graz
Graz (; sl, Gradec) is the capital city of the Austrian state of Styria and second-largest city in Austria after Vienna. As of 1 January 2021, it had a population of 331,562 (294,236 of whom had principal-residence status). In 2018, the popu ...
,
Austria
Austria, , bar, Östareich officially the Republic of Austria, is a country in the southern part of Central Europe, lying in the Eastern Alps. It is a federation of nine states, one of which is the capital, Vienna, the most populous ...
. During
World War II
World War II or the Second World War, often abbreviated as WWII or WW2, was a world war that lasted from 1939 to 1945. It involved the World War II by country, vast majority of the world's countries—including all of the great power ...
he was part of a group of five mathematicians, which was recruited by the military cryptanalyst
Wilhelm Fenner
Wilhelm Fenner (* 14 April 1891 in Saint Petersburg † after 1946) was a German Cryptanalysis, cryptanalyst, before and during the time of World War II in the OKW/Chi, the Cipher Department of the High Command of the Wehrmacht, working within ...
, and which included
Ernst Witt
Ernst Witt (26 June 1911 – 3 July 1991) was a German mathematician, one of the leading algebraists of his time.
Biography
Witt was born on the island of Alsen, then a part of the German Empire. Shortly after his birth, his parents moved the ...
,
Georg Aumann
Georg Aumann (11 November 1906, Munich, Germany – 4 August 1980), was a German mathematician. He was known for his work in general topology and regulated functions. During World War II, he worked as part of a group of five mathematicians, rec ...
,
Oswald Teichmueller Oswald may refer to:
People
*Oswald (given name), including a list of people with the name
*Oswald (surname), including a list of people with the name
Fictional characters
*Oswald the Reeve, who tells a tale in Geoffrey Chaucer's ''The Canterbur ...
and
Johann Friedrich Schultze, to form the backbone of the new mathematical research department in the late 1930s, which would eventually be called Section IVc of
Cipher Department of the High Command of the Wehrmacht. (abbr. OKW/Chi).
[TICOM reports DF-187 A-G and DF-176, ‘European Axis Signal Intelligence in World War II’ vol 2] The group was led by the German professor of mathematics
Wolfgang Franz.
Life
Alexander Aigner was the son of noted medical doctor
Oktavia Aigner-Rollett
Oktavia Aigner-Rollett (née Oktavia Auguste-Rollett; 23 May 1877, Graz — 22 May 1959, Ibid.) was an Austrian physician. She was one of the first women to receive a doctorate from the University of Graz, and was the first female doctor to work ...
and anatomist Walter Aigner (1878–1950). He is the grandson of noted
physiologist
Physiology (; ) is the scientific study of functions and mechanisms in a living system. As a sub-discipline of biology, physiology focuses on how organisms, organ systems, individual organs, cells, and biomolecules carry out the chemical ...
and
histologist of
Alexander Rollett.
He studied
mathematics and
physics
Physics is the natural science that studies matter, its fundamental constituents, its motion and behavior through space and time, and the related entities of energy and force. "Physical science is that department of knowledge which rel ...
in at the
University of Graz
The University of Graz (german: link=no, Karl-Franzens-Universität Graz, ), located in Graz, Austria, is the largest and oldest university in Styria, as well as the second-largest and second-oldest university in Austria.
History
The univers ...
. In 1936, he was put forward by Dr.
Karl Brauner Karl may refer to:
People
* Karl (given name), including a list of people and characters with the name
* Karl der Große, commonly known in English as Charlemagne
* Karl Marx, German philosopher and political writer
* Karl of Austria, last Austrian ...
for promotion to
Dr. Phil
Phillip Calvin McGraw (born September 1, 1950), better known as Dr. Phil, is an American television personality and author best known for hosting the talk show '' Dr. Phil''. He holds a doctorate in clinical psychology, though he ceased rene ...
, with Dr.
Tonio Rella Tonio may refer to:
* ''Tonio'' (film), a 2016 Dutch film
*Tonio (software), a Vocaloid vocal
*Tonio Kröger, a novella by Thomas Mann
* ''Tonio Kröger'' (film), a film based on the novella
*Tonio (app), an audio-decoding-app
* Tonio (name), per ...
advising, with a thesis titled: ''Mathematical treatment of the hermit game in the plane and in space. About the possibility of
in square bodies'' (German: Mathematische Behandlung des Einsiedlerspieles in der Ebene und im Raume. Über die Möglichkeit von
in quadratischen Körpern).
He was offered a position as assistant at the 2nd Chair (Lehrkanzel) for Mathematics at
Karl Franzens University. Aigner published articles in the journal
Deutsche Mathematik. During World War II, he was recruited along with a number of other mathematicians to make up the backbone of a new cipher bureau for the German Army. He would eventually work at the mathematical research department IV/Section IVc of
OKW/Chi under
Erich Hüttenhain in the deciphering of complex foreign encryption systems.
In 1947 he qualified as a professor at the Karl Franzens University in Graz, where he received an assistant position from
Georg Kantz. In 1957, he became an extraordinary professor (
Academic ranks in Germany
Academic ranks in Germany are the titles, relative importance and power of professors, researchers, and administrative personnel held in academia.
Overview
Appointment grades
* (Pay grade: ''W3'' or ''W2'')
* (''W3'')
* (''W2'')
* (''W2'', ...
) and finally a full professor. Even after becoming professor emeritus in 1979 he continued to give lectures about number theory, his primary focus. In addition to his professional activities, he also developed a
literary
Literature is any collection of written work, but it is also used more narrowly for writings specifically considered to be an art form, especially prose fiction, drama, and poetry. In recent centuries, the definition has expanded to includ ...
interest. He was a member of the
Styrian Writers' Union and the confederation of Styrian home poets. After two volumes of poetry, in 1978 he published a collection of cheerful mathematical poems titled ''Tangents to the Frohsinn'' (Tangenten an den Frohsinn), a special edition of the reports of the Mathematical-Statistical Section at the Research Center Graz.
Publications
*''Kriterien zum 8. und 16. Potenzcharakter der Reste 2 und -2'', Deutsche Mathematik, Vol. 1939, p. 44.
*''Mathematische Behandlung des Einsiedlerspieles in der Ebene und im Raume'', Deutsche Mathematik, Vol. 1940, p. 12.
*''Die Zerlegung einer arithmetischen Reihe in summengleiche Stücke'', Deutsche Mathematik, Vol. 1941, p. 77.
* Literature from and about Alexander Aigner in the catalog of the Deutsche Nationalbibliothek.
* Alexander Aigner: Number theory. Berlin, New York: de Gruyter 1975; .
* Alexander Aigner: Tangents to the joy. Graz, 1978. Special number of the reports of the Mathematical-Statistical Section at the Research Center Graz.
References
{{DEFAULTSORT:Aigner, Alexander
1909 births
1988 deaths
20th-century Austrian mathematicians
Austrian cryptographers
Academic staff of the University of Graz
Number theorists