Mathematician:David Bryant Mumford
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Mathematician
American mathematician known for his work in algebraic geometry and then for research into vision and pattern theory.
Fields Medal
David Bryant Mumford was awarded a Fields Medal in $\text {1974}$ at the International Congress of Mathematicians in Helsinki, Finland:
- Contributed to problems of the existence and structure of varieties of moduli, varieties whose points parametrize isomorphism classes of some type of geometric object. Also made several important contributions to the theory of algebraic surfaces.
Wolf Prize
David Bryant Mumford was awarded a Wolf Prize for Mathematics in $\text {2008}$:
- For his work on algebraic surfaces; on geometric invariant theory; and for laying the foundations of the modern algebraic theory of moduli of curves and theta functions.
Nationality
American
History
- Born: 11 June 1937 in Worth, Sussex, England
Theorems and Definitions
- Mumford-Tate Group (with John Torrence Tate) (also known as a Hodge Group for William Vallance Douglas Hodge)
- Mumford Surface
- Deligne-Mumford Moduli Space of Curves (with Pierre René Deligne)
- Deligne-Mumford Stack (with Pierre René Deligne)
- Mumford-Shah Functional (with Jayant Shah)
Definitions of concepts named for David Bryant Mumford can be found here.
Publications
- 1970: Abelian Varieties
- 1974: Abelian Varieties (2nd ed.)
- 1975: Curves and their Jacobians