Carl Ludwig Siegel

Carl Ludwig Siegel
Carl Ludwig Siegel in 1975
Born(1896-12-31)31 December 1896
Died4 April 1981(1981-04-04) (aged 84)
Alma materUniversity of Göttingen
Known forE-function
Siegel disk
Siegel domain
Siegel G-function
Siegel modular form
Siegel modular variety
Siegel parabolic subgroup
Siegel zero
Siegel upper half-space
Siegel's conjecture
Siegel's lemma
Siegel's identity
Siegel's number
Siegel's theorem
Siegel's theorem on integral points
Siegel–Shidlovsky theorem
Siegel–Walfisz theorem
Siegel–Weil formula
Brauer–Siegel theorem
Riemann–Siegel formula
Riemann–Siegel theta function
Thue–Siegel–Roth theorem
Smith–Minkowski–Siegel mass formula
AwardsWolf Prize (1978)
ICM Speaker (1936)
Scientific career
FieldsMathematics
InstitutionsJohann Wolfgang Goethe-Universität
Institute for Advanced Study
Doctoral advisorEdmund Landau
Doctoral students

Carl Ludwig Siegel (31 December 1896 – 4 April 1981) was a German mathematician specialising in analytic number theory. He is known for, amongst other things, his contributions to the Thue–Siegel–Roth theorem in Diophantine approximation, Siegel's method, Siegel's lemma and the Siegel mass formula for quadratic forms. He has been named one of the most important mathematicians of the 20th century.

André Weil, without hesitation, named Siegel as the greatest mathematician of the first half of the 20th century. Atle Selberg said of Siegel and his work:

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