David Bryant Mumford ( born David Bryant Mumford ; born June 11, 1937 , Worth, West Sussex , United Kingdom ) is an American mathematician known for his work on algebraic geometry .
David Bryant Mumford | |
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English David Bryant Mumford | |
Date of Birth | |
Place of Birth | Worth, West Sussex , UK |
A country | |
Scientific field | maths |
Place of work | |
Alma mater | Harvard University |
Academic degree | Doctor of Philosophy (Ph.D.) |
supervisor | O. Zarissky |
Awards and prizes | Fields Award (1974) Memorial Lecture by Solomon Lefschetz (1982) MacArthur Scholarship (1987) Gibbs Lecture (2003) Euler lecture (2003) Shao Prize (2006) Steele Award (2007) Wolf Prize (2008) National Science Medal of the United States (2009) BBVA Foundation Frontiers of Knowledge Awards (2012) |
Born in the family of an Englishman and an American. He studied at Harvard University , in 1961 under the direction of O. Zarissky he defended a thesis entitled Existence of the Moduli Scheme of Any Genus . [five]
The main work of Mumford - in the field of algebraic geometry, in which he, continuing the tradition of the Harvard school, going from Zarissky , became one of those who benefited from the ideas of Grothendieck , while preserving the older traditions. His works combine both traditional geometric intuition and the latest algebraic technique, for example, the construction of Picard varieties and many moduli spaces of the long-known quasi-projective varieties . Of great importance are his works on "pathologies" in algebraic geometry, the classification of smooth projective surfaces, on the theory of invariants, and on the classical but modernized theory of theta functions .
Mumford also works in the field of artificial intelligence .
Fields award winner ( 1974 ), as well as Shao (2006) and Wolf (2008) math prizes. He was also awarded the Steele Award in the nomination "For Mathematical Description" (2007) and the National Medal of the USA (2009), the BBVA Foundation Frontiers of Knowledge Awards (2012). In 1992 he gave a plenary report at the European Mathematical Congress .
Since 2012, he is a full member of the American Mathematical Society . [6] In 1995-1998 he was president of the International Mathematical Union . [7]
Books translated into Russian
- Mumford D. Lectures on curves on an algebraic surface. - M .: Mir, 1968.
- Mumford D. Abelian varieties. - M .: Mir, 1969.
- Gyodonne J. , Carroll J., Mumford D. Geometric theory of invariants. - M .: Mir, 1974.
- Mumford D. Algebraic geometry. Complex projective varieties. - M .: Mir, 1979.
- Mumford D. Lectures on theta functions. - M .: Mir, 1988.
- Mumford D. Red book about varieties and schemes. - M .: MTSNMO, 2007.
- Mumford D., Wright D., Siris K. Necklace Indra. Vision of Felix Klein. - M .: MTSNMO, 2011.
Links
- John J. O'Connor and Edmund F. Robertson . Mumford, David (eng.) - biography in the archive MacTutor .
- Mumford's page at Brown University (Eng.)
Notes
- ↑ 1 2 Archive for the History of Mathematics McTutor
- ↑ SNAC - 2010.
- ↑ https://www.brown.edu/academics/applied-mathematics/david-mumford
- ↑ https://en.wikipedia.org/w/index.php?title=Category:Harvard_University_faculty&pagefrom=Mitzenmacher%2C+Michael%0AMichael+Mitzenmacher#mw-pages
- ↑ Mumford, David (Eng.) In the project " Mathematical Genealogy "
- ↑ List of Fellows of the American Mathematical Society (English) . The appeal date is August 7, 2013. Archived August 16, 2013.
- ↑ IMU Executive Committees 1952–2010 Archived copy of August 7, 2013 on Wayback Machine (eng.)