Stefan E. Warschawski
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Stefan Emanuel "Steve" Warschawski (April 18, 1904 – May 5, 1989) was a Russian-born American mathematician, a professor and department chair at the University of Minnesota and the founder of the mathematics department at the University of California, San Diego.


Early life and education

Warschawski was born in Lida, now in Belarus; at the time of his birth Lida was part of the Russian Empire.... His father was a Russian medical doctor, and his mother was ethnically German;. the family spoke German at home. In 1915, his family moved to Königsberg, in Prussia (now Kaliningrad, Russia), the home of his mother's family. Warschawski studied at the University of Königsberg until 1926 and then moved to the University of Göttingen for his doctoral studies under the supervision of Alexander Ostrowski. Ostrowski moved to the University of Basel and Warschawski followed him there to complete his studies.


Career

After receiving his Ph.D., Warschawski took a position at Göttingen in 1930 but, due to the rise of Hitler and his own Jewish ancestry, he soon moved to Utrecht University in Utrecht, Netherlands and then Columbia University in New York City. After a sequence of temporary positions, he found a permanent faculty position at Washington University in St. Louis in 1939. During World War II he moved to
Brown University Brown University is a private research university in Providence, Rhode Island. Brown is the seventh-oldest institution of higher education in the United States, founded in 1764 as the College in the English Colony of Rhode Island and Providenc ...
and then the University of Minnesota, where he remained until his 1963 move to San Diego, where he was the founding chair of the mathematics department.. Warschawski stepped down as chair in 1967, and retired in 1971, but remained active in research: approximately one third of his research publications were written after his retirement. Over the course of his career, he advised 19 Ph.D. students, all but one at either Minnesota or San Diego. Vernor Vinge is among Warschawski's doctoral students.


Research

Warschawski was known for his research on
complex analysis Complex analysis, traditionally known as the theory of functions of a complex variable, is the branch of mathematical analysis that investigates Function (mathematics), functions of complex numbers. It is helpful in many branches of mathemati ...
and in particular on
conformal map In mathematics, a conformal map is a function that locally preserves angles, but not necessarily lengths. More formally, let U and V be open subsets of \mathbb^n. A function f:U\to V is called conformal (or angle-preserving) at a point u_0\in ...
s. He also made contributions to the theory of minimal surfaces and harmonic functions. The Noshiro–Warschawski theorem is named after Warschawski and Noshiro, who discovered it independently; it states that, if ''f'' is an analytic function on the open
unit disk In mathematics, the open unit disk (or disc) around ''P'' (where ''P'' is a given point in the plane), is the set of points whose distance from ''P'' is less than 1: :D_1(P) = \.\, The closed unit disk around ''P'' is the set of points whose di ...
such that the real part of its first derivative is positive, then ''f'' is
one-to-one One-to-one or one to one may refer to: Mathematics and communication *One-to-one function, also called an injective function *One-to-one correspondence, also called a bijective function *One-to-one (communication), the act of an individual comm ...
. In 1980, he solved the Visser–Ostrowski problem for derivatives of conformal mappings at the boundary.
Burton Rodin Burton Rodin is an American mathematician known for his research in conformal mappings and Riemann surfaces. He is a professor emeritus at the University of California, San Diego. Education Rodin received a Ph.D. at the University of California, ...
and S. E. Warschawski, “On the derivative of the Riemann mapping function near a boundary point and the Visser-Ostrowski problem”, Mathematische Annalen, 248, (1980), 125–137.


Legacy

Warschawski was honored in 1978 by the creation of the Stefan E. Warschawski Assistant Professorship at San Diego. The Stephen E. Warschawski Memorial Scholarship was also given in his name in 1999–2000 to four UCSD undergraduates as a one-time award. His wife, Ilse, died in 2009 and left a US$1 million bequest to UCSD, part of which went towards endowing a professorship in the mathematics department..


References

{{DEFAULTSORT:Warschawski, Stefan E. 1904 births 1989 deaths People from Lida People from Lidsky Uyezd Mathematical analysts 20th-century American mathematicians University of Königsberg alumni University of Göttingen alumni University of Basel alumni Academic staff of the University of Göttingen Academic staff of Utrecht University Columbia University faculty Washington University in St. Louis faculty Washington University in St. Louis mathematicians Brown University faculty University of Minnesota faculty University of California, San Diego faculty Emigrants from the Russian Empire Immigrants to the German Empire Immigrants to the United States