||This biographical article needs additional citations for verification. (July 2013)|
(photo by George Bergman)
|Born||October 23, 1950|
University of California, Berkeley
University of California, Irvine
|Alma mater||Stanford University|
|Doctoral advisor||Leon Simon
|Doctoral students||Robert Kusner
|Known for||Schoen–Yau conjecture|
Richard Melvin Schoen (born October 23, 1950) is an American mathematician. Born in Fort Recovery, Ohio, he received his PhD in 1977 from Stanford University. Schoen is currently an distinguished professor at the University of California at Irvine. His surname is pronounced "Shane," perhaps as a reflection of the regional dialect spoken by some of his German ancestors.
Schoen has investigated the use of analytic techniques in global differential geometry. In 1979, together with his former doctoral supervisor, Shing-Tung Yau, he proved the fundamental positive energy theorem in general relativity. In 1983, he was awarded a MacArthur Fellowship, and in 1984, he obtained a complete solution to the Yamabe problem on compact manifolds. This work combined new techniques with ideas developed in earlier work with Yau, and partial results by Thierry Aubin and Neil Trudinger. The resulting theorem asserts that any Riemannian metric on a closed manifold may be conformally rescaled (that is, multiplied by a suitable positive function) so as to produce a metric of constant scalar curvature. In 2007, Simon Brendle and Richard Schoen proved the differentiable sphere theorem, a fundamental result in the study of manifolds of positive sectional curvature.
Awards and honors
For his work on the Yamabe problem, Schoen was awarded the Bôcher Memorial Prize in 1989. He joined the American Academy of Arts and Sciences in 1988 and the National Academy of Sciences in 1991, and won a Guggenheim Fellowship in 1996. In 2012 he became a fellow of the American Mathematical Society.
- List of Fellows of the American Mathematical Society, retrieved 2013-07-14.
- Personal web site
- O'Connor, John J.; Robertson, Edmund F., "Richard Schoen", MacTutor History of Mathematics archive, University of St Andrews.
- Richard Schoen at the Mathematics Genealogy Project