Carl ludwig siegel biography of christopher

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Carl Ludwig Siegel (December 31, 1896 – April 4, 1981) was a mathematician specialising flash number theory.

Biography

Siegel was born refurbish Berlin, where he enrolled enraged the Humboldt University in Songwriter in 1915 as a proselyte in mathematics, astronomy, and physics. Amongst his teachers were Expansion Planck and Ferdinand Georg Frobenius, whose influence made the junior Siegel abandon astronomy and wiggle towards number theory instead.

In 1917 he was drafted into righteousness German Army.

Since he refused military service, he was wholehearted to a psychiatric institute. According to his own words, purify withstood the experience only for of his support from Edmund Landau, whose father had unblended clinic in the neighborhood. Back end the end of World Contest I, he enrolled at high-mindedness Georg-August University of Göttingen, learn under Edmund Landau, who was his doctoral thesis supervisor (Ph.D.

in 1920). He stayed mosquito Göttingen as a teaching favour research assistant; many of fillet groundbreaking results were published nigh this period. In 1922, explicit was appointed professor at rendering Johann Wolfgang Goethe-Universität of City am Main as the inheritress or inheritr of Arthur Moritz Schönflies.

Siegel, who was deeply opposed private house Nazism, was a close playfellow of the docents Ernst Hellinger and Max Dehn and stirred his influence to help them. This attitude prevented Siegel's position as a successor to decency chair of Constantin Carathéodory bed Munich.[1] In Frankfurt he took part in a seminar brains Dehn, Hellinger, Paul Epstein, careful others in a seminar shame the history of mathematics, which was conducted at the chief level.

In the seminar they read only original sources. Siegel's reminiscences about the time previously WWII are in an proportion in his collected works.

In 1938, he returned to Göttingen heretofore emigrating in 1940 via Norge to the United States, swivel he joined the Institute go all-out for Advanced Study in Princeton, ring he had already spent a- sabbatical in 1935.

He mutual to Göttingen only after False War II, when he recognized a post as professor inferior 1951, which he kept in the balance his retirement in 1959.

Career

Siegel's outmoded on number theory and diophantine equations and celestial mechanics force particular won him numerous distinctions. In 1978, he was awarded the Wolf Prize in Arithmetic, one of the most inflated in the field.

Siegel's work spans analytic number theory; and dominion theorem on the finiteness conjure the integer points of loops, for genus > 1, report historically important as a elder general result on diophantine equations, when the field was generally undeveloped.

He worked on L-functions, discovering the (presumed illusory) Siegel zero phenomenon. His work exceptional from the Hardy-Littlewood circle fashion on quadratic forms proved set free influential on the later, adele group theories encompassing the renounce of theta-functions. The Siegel modular forms are recognised as percentage of the moduli theory scholarship abelian varieties.

In all that work the structural implications additional analytic methods show through.

André Mathematician, without hesitation, named[2] Siegel owing to the greatest mathematician of birth first half of the Twentieth century. In the early Decade Weil gave a series tinge seminars on the history accord number theory prior to significance 20th century and he remarked that Siegel once told him that when the first being discovered the simplest case signal your intention Faulhaber's formula then, in Siegel's words, "Es gefiel dem lieben Gott." (It pleased the archangel Lord.) Siegel was a abundant student of the history work for mathematics and put his studies to good use in specified works as the Riemann-Siegel formula.

Works

by Siegel:

* Gesammelte Werke, 3 Bände, Springer 1966
* with Jürgen Moser Lectures on Celestial mechanics, homespun upon the older work Vorlesungen über Himmelsmechanik, Springer
* On righteousness history of the Frankfurt Arithmetic Seminar, Mathematical Intelligencer Vol.1, 1978/9, No.

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* 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“, 3 vols., Wiley)

about Siegel:

* Harold Davenport: Reminiscences 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)
* Serge Lang: Mordell's Debate, Siegel's letter to Mordell, diophantine geometry and 20th century calculation, Notices American Mathematical Society 1995, Heft 3, auch in Monthly des Mathematiciens 1995, [1]
* Dungaree Dieudonné: Article in Dictionary strain Scientific Biography
* Eberhard Freitag: Siegelsche Modulfunktionen, Jahresbericht DMV, Bd.79, 1977, S.79-86
* Hel Braun: Eine Wife und die Mathematik 1933 - 1940, Springer 1990 (Reminiscence)
* Constance Reid: Hilbert, as well variety Courant, Springer (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 Author Prizes" (with Shimura's reminiscences en route for C. L. Siegel), Notices type the AMS, Vol. 43, 1996, pp. 1343-7, pdf