Charles Loewner | |
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Born | |
Died | 8 January 1968 | (aged 74)
Nationality | American |
Alma mater | Karl-Ferdinands-Universität |
Known for | Operator monotone function Systolic geometry Loewner equation Loewner order Loewner's torus inequality Loewner–Heinz theorem |
Scientific career | |
Fields | Mathematics |
Institutions | Stanford University Syracuse University University of Prague |
Doctoral advisor | Georg Alexander Pick |
Doctoral students | Lipman 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.