Charles Loewner

Charles Loewner
Born(1893-05-29)29 May 1893
Died8 January 1968(1968-01-08) (aged 74)
NationalityAmerican
Alma materKarl-Ferdinands-Universität
Known forOperator monotone function
Systolic geometry
Loewner equation
Loewner order
Loewner's torus inequality
Loewner–Heinz theorem
Scientific career
FieldsMathematics
InstitutionsStanford University
Syracuse University
University of Prague
Doctoral advisorGeorg Alexander Pick
Doctoral studentsLipman Bers
William J. Firey
Adriano Garsia
Roger Horn
Pao Ming Pu

Charles Loewner (29 May 1893 – 8 January 1968) was an American mathematician. His name was Karel Löwner in Czech and Karl Löwner in German.

Karl Loewner was born into a Jewish family in Lany, about 30 km from Prague, where his father Sigmund Löwner was a store owner.[1][2]

Loewner received his Ph.D. from the University of Prague in 1917 under supervision of Georg Pick. One of his central mathematical contributions is the proof of the Bieberbach conjecture in the first highly nontrivial case of the third coefficient. The technique he introduced, the Loewner differential equation, has had far-reaching implications in geometric function theory; it was used in the final solution of the Bieberbach conjecture by Louis de Branges in 1985. Loewner worked at the University of Berlin, University of Prague, University of Louisville, Brown University, Syracuse University and eventually at Stanford University. His students include Lipman Bers, Roger Horn, Adriano Garsia, and P. M. Pu.


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