Frank Wilson Warner
Template:Short description Frank Wilson Warner III (born March 2 1938 in Pittsfield, Massachusetts)[1] is an American mathematician, specializing in differential geometry.
Education and career
Warner graduated in 1959 with a bachelor's degree from Pennsylvania State University and in 1963 with a Ph.D. in mathematics from the Massachusetts Institute of Technology. His thesis, written under the supervision of Isadore M. Singer, is entitled Conjugate Locus of a Riemannian Manifold.[2] At the University of California, Berkeley, Warner was an assistant professor from 1965 to 1968. At the University of Pennsylvania, he became an associate professor in 1968 and a full professor in 1973. He was from 1995 to 1997 the deputy dean of the University of Pennsylvania School of Arts and Sciences. In 2000, he retired as professor emeritus.[3]
In the 1970s he and Jerry Kazdan, as collaborators, made important contributions to the theory of Riemannian manifolds with prescribed scalar curvature. They proved in 1975 that any smooth function can be realized as a scalar curvature if it becomes negative somewhere on the manifold. Their further research dealt with conjugate points on Riemannian manifolds.
Warner was a Guggenheim Fellow for the academic year 1976–1977.[4] He was elected in 1994 a Fellow of the American Association for the Advancement of Science.[5]
Selected publications
Articles
- Template:Cite journal
- Template:Cite journal
- Template:Cite journal
- Template:Cite journal
- Template:Cite journal
- Template:Cite journal
- Template:Cite journal
- Template:Cite book
- Template:Cite journal
- Template:Cite journal
- Template:Cite journal
- Template:Cite journal
- Template:Cite journal
- Template:Cite journal
Books
References
- ↑ biographical information from American Men and Women of Science, Thomson Gale 2004
- ↑ Template:MathGenealogy
- ↑ Template:Cite web
- ↑ Template:Cite web
- ↑ Template:Cite web
- Pennsylvania State University alumni
- Massachusetts Institute of Technology alumni
- University of Pennsylvania faculty
- Mathematicians at the University of Pennsylvania
- Fellows of the American Association for the Advancement of Science
- 20th-century American mathematicians
- 21st-century American mathematicians
- Differential geometers
- 1938 births
- Living people