Background
Upon his release from the camp, the couple fled to England where Gerald"s older brother, Maurice, was born. Gerald was born seven years later.
Upon his release from the camp, the couple fled to England where Gerald"s older brother, Maurice, was born. Gerald was born seven years later.
Schwarz earned his Bachelor of Surgery and Master of Surgery degrees from the Massachusetts Institute of Technology (Massachusetts Institute of Technology) in 1969 and his Doctor of Philosophy in Mathematics from Massachusetts Institute of Technology in 1972.
Schwarz specializes in invariant theory, algebraic group actions and invariant differential operators. Of German descent, Schwarz"s father, Ernst, was one of the 30,000 Jews seized during Kristallnacht. In November 1939, Ernst, Elaine and Maurice arrived in the United States, eventually settling in Portland, Oregon.
He spent his childhood in Portland, then moved to Cambridge, Massachusetts to attend school.
Schwarz began his career at the University of Pennsylvania (1972-1974) as a postdoctoral researcher, then joined the faculty at Brandeis University in Waltham, Massachusetts (1974). He spent the next academic year at the Institute for Advanced Study in Princeton, New Jersey (1975-1976), where he recognized that the solution of the homotopy/isotopy lifting problem requires algebraic groups.
The resulting theorem helps mathematicians classify smooth compact lie group actions on manifolds. The proof of the theorem appears in the paper Lifting smooth homotopies of orbit spaces and led to a tenured position at Brandeis in 1978.
Four years later, Schwarz was promoted to full Professor.
Schwarz has written or co-authored over 60 journal articles in the field of mathematics. In 1996, he was one of the founding editors of the journal Transformation Groups, and continued as one of its Managing Editors until February 2000.
In 2012, he became a member of the inaugural class of fellows of the American Mathematical Society which recognizes mathematicians who have made significant contributions to the field