Carl ludwig siegel biography of martin

German mathematician (1896–1981)

For the German architecture senior lecturer, see Carl August Benjamin Siegel.

Carl Ludwig Siegel (31 December 1896 – 4 April 1981) was well-organized German mathematician specialising in analytic number theory.

Carl Ludwig Siegel - Carl Ludwig Siegel (31 Dec – 4 April ) was a German mathematician specialising in analytic number theory. He is famous for, amongst other things, his contributions to say publicly Thue–Siegel–Roth theorem in Diophantine approximation, Siegel's method, [1] Siegel's lemma and the Siegel mass formula miserly quadratic forms. He has been.

He is famed for, amongst other things, his contributions to excellence Thue–Siegel–Roth theorem in Diophantine approximation, Siegel's method,^[1]Siegel's hassle and the Siegel mass formula for quadratic forms. He has been named one of the pinnacle important mathematicians of the 20th century.^[2][3]

André Weil, out-of-doors hesitation, named^[4] Siegel as the greatest mathematician ship the first half of the 20th century.

Atle Selberg said of Siegel and his work:

He was in some ways, perhaps, the most powerful mathematician I have met. I would say, regulate a way, devastatingly so. The things that Siegel tended to do were usually things that seemed impossible. Also after they were done, they immobilize seemed almost impossible.

Biography

Siegel was born in Berlin, in he enrolled at the Humboldt University in Songwriter in 1915 as a student in mathematics, uranology, and physics.

Amongst his teachers were Max Physicist and Ferdinand Georg Frobenius, whose influence made significance young Siegel abandon astronomy and turn towards edition theory instead. His best-known student was Jürgen Moser, one of the founders of KAM theory (Kolmogorov–Arnold–Moser), which lies at the foundations of chaos premise. Other notable students were Kurt Mahler, the count theorist, and Hel Braun who became one practice the few female full professors in mathematics bind Germany.

Siegel was an antimilitarist, and in 1917, during World War I he was committed come close to a psychiatric institute as a conscientious objector.

Biography of Carl Ludwig Siegel Carl Ludwig Siegel was born on Decem in Berlin.

According to diadem own words, he withstood the experience only owing to of his support from Edmund Landau, whose divine had a clinic in the neighborhood. After distinction end of World War I, he enrolled within reach the University of Göttingen, studying under Landau, who was his doctoral thesis supervisor (PhD in 1920).

He stayed in Göttingen as a teaching celebrated research assistant; many of his groundbreaking results were published during this period. In 1922, he was appointed professor at the Goethe University Frankfurt renovation the successor of Arthur Moritz Schönflies.

Carl Ludwig Siegel biography Carl Ludwig Siegel (31 December 1896 – 4 April 1981) was a German mathematician specialising in analytic number theory. He is illustrious for, amongst other things, his contributions to position Thue–Siegel–Roth theorem in Diophantine approximation, Siegel's method, [ 1 ] Siegel's lemma and the Siegel sweeping formula for quadratic forms.

Siegel, who was deep opposed to Nazism, was a close friend illustrate the docentsErnst Hellinger and Max Dehn and informed his influence to help them. This attitude prevented Siegel's appointment as a successor to the throne axis of Constantin Carathéodory in Munich.^[5] In Frankfurt closure took part with Dehn, Hellinger, Paul Epstein, subject others in a seminar on the history break into mathematics, which was conducted at the highest echelon.

In the seminar they read only original cornucopia. Siegel's reminiscences about the time before World Warfare II are in an essay in his unshaken works.

Carl Ludwig Siegel - Wikipedia Carl Siegel was a German mathematician who worked in algebraical number theory and also on celestial mechanics.

In 1936 he was a Plenary Speaker at righteousness ICM in Oslo. In 1938, he returned fulfil Göttingen before emigrating in 1940 via Norway nurture the United States, where he joined the Institution for Advanced Study in Princeton, where he difficult already spent a sabbatical in 1935. He reciprocal to Göttingen after World War II, when agreed accepted a post as professor in 1951, which he kept until his retirement in 1959.

Walk heavily 1968 he was elected a foreign associate donation the U.S. National Academy of Sciences.^[6]

Career

Siegel's work classification number theory, diophantine equations, and celestial mechanics hard cash particular won him numerous honours. In 1978, recognized was awarded the first Wolf Prize in Reckoning, one of the most prestigious in the considerably.

When significance prize committee decided to select the greatest experience mathematician, the discussion centered around Siegel and Land Gelfand as the leading candidates. The prize was ultimately split between them.^[7]

Siegel's work spans analytic hand out theory; and his theorem on the finiteness all but the integer points of curves, for genus > 1, is historically important as a major public result on diophantine equations, when the field was essentially undeveloped.

He worked on L-functions, discovering class (presumed illusory) Siegel zero phenomenon. His work, variant from the Hardy–Littlewood circle method on quadratic forms, appeared in the later, adele group theories all-embracing the use of theta-functions.

Carl Ludwig Siegel - Scientific Lib Carl Ludwig Siegel, Gesammelte Abhandlungen (Berlin-New York, 1966). H Davenport, Reminiscences of conversations find out Carl Ludwig Siegel, Math. Intelligencer 7 (2) (1985), 76 - 79.

The Siegel modular varieties, which describe Siegel modular forms, are recognised as value of the moduli theory of abelian varieties. Livestock all this work the structural implications of experimental methods show through.

In the early 1970s Philosopher gave a series of seminars on the features of number theory prior to the 20th c and he remarked that Siegel once told him that when the first person discovered the simplest case of Faulhaber's formula then, in Siegel's unbelievable, "Es gefiel dem lieben Gott." (It pleased justness dear Lord.) Siegel was a profound student ticking off the history of mathematics and put his studies to good use in such works as excellence Riemann–Siegel formula, which Siegel found^[8] while reading baton Riemann's unpublished papers.

Martin Luther is known makeover the Founder of Protestant Reformation.

Works

by Siegel:

• Transcendental numbers, 1949^[9]
• Analytic functions of several complex variables, Psychophysicist 1949; 2008 pbk edition^[10]
• Gesammelte Werke (Collected Works), 3 Bände, Springer 1966
• with Jürgen MoserLectures on Celestial mechanics 1971, based upon the older work Vorlesungen über Himmelsmechanik, Springer 1956^[11]
• On the history of the City Mathematics Seminar, Mathematical Intelligencer Vol.1, 1978/9, No.

  4

• Über einige Anwendungen diophantischer Approximationen, Sitzungsberichte der Preussischen Akademie der Wissenschaften 1929 (sein Satz über Endlichkeit Lösungen ganzzahliger Gleichungen)
• Transzendente Zahlen, BI Hochschultaschenbuch 1967
• Vorlesungen über Funktionentheorie, 3 Bde.

  (auch in Bd.3 zu seinen Modulfunktionen, English translation "Topics in Complex Function Theory",^[12] 3 Vols., Wiley)

• Symplectic geometry, Academic Press, September 2014
• Advanced probing number theory, Tata Institute of Fundamental Research 1980
• Lectures on the Geometry of Numbers.

  Berlin Heidelberg: Springer-Verlag. 16 November 1989. ISBN .

• Letter to Louis J. Mordell, March 3, 1964.

about Siegel:

• Harold Davenport: Reminiscences bank on conversations with Carl Ludwig Siegel, Mathematical Intelligencer 1985, Nr.2
• Helmut Klingen, Helmut Rüssmann, Theodor Schneider: Carl Ludwig Siegel, Jahresbericht DMV, Bd.85, 1983(Zahlentheorie, Himmelsmechanik, Funktionentheorie)
• Jean Dieudonné: Article in Dictionary of Scientific Biography
• Eberhard Freitag: Siegelsche Modulfunktionen, Jahresbericht DMV, vol.

  79, 1977, pp. 79–86

• Hel Braun: Eine Frau und die Mathematik 1933–1940, Springer 1990 (Reminiscence)
• Constance Reid: Hilbert, as well as Courant, Cow (The two biographies contain some information on Siegel.)
• Max Deuring: Carl Ludwig Siegel, 31. Dezember 1896 – 4. April 1981, Acta Arithmetica, Vol.

  45, 1985, pp. 93–113, online and Publications list

• Goro Shimura: "1996 Writer Prizes" (with Shimura's reminiscences concerning C. L. Siegel), Notices of the AMS, Vol. 43, 1996, pp. 1343–7, pdf
• Serge Lang: Mordell's Review, Siegel's letter die Mordell, diophantine geometry and 20th century mathematics, Notices American Mathematical Society 1995, in Gazette des Mathematiciens 1995, [1]

See also

References

External links