Shreeram Abhyankar
Shreeram Shankar Abhyankar ( Marathi : श्रीराम शंकर अभ्यंकर, Śrīrām Śankar Abhyankar ; born July 22, 1930 in Ujjain ; † November 2, 2012 in West Lafayette , Indiana , United States ) was an Indian mathematician who studied algebraic geometry and algebra .
Life
Shreeram Abhyankar studied at the University of Bombay , where he received his bachelor's degree in 1951, and at Harvard University , where he graduated in 1952 and received his doctorate in 1955 under Oscar Zariski ( Local Uniformization on Algebraic Surfaces over Modular Ground Fields ). He was then Associate Professor at Johns Hopkins University and Professor at Purdue University , where he was Marshall Distinguished Professor of Mathematics from 1967. In 1958 he became a Sloan Research Fellow .
Abhyankar worked, for example, on the resolution of singularities, where in his dissertation in 1956 (Annals of Mathematics vol. 63, p. 491) he gave a proof for algebraic surfaces over fields of prime characteristics (after his teacher Zariski had already proved the proof for characteristic 0 , i.e. above the complex numbers, gave). In 1966 he also proved the solvability for three-dimensional algebraic varieties over prime fields of the characteristic greater than 5. He was also interested in applications of algebraic geometry such as CAD and robotics and worked on (inverse) Galois theory , combinatorics and the theory of the functions of several complex variables.
He is known for various conjectures, for example for a conjecture named after him from 1957, which was solved by Michel Raynaud and David Harbater in 1994. In various essays he underlined the elementary aspects of algebraic geometry that can be solved with "high school algebra".
In 1978 he received the AMS Chauvenet Prize . In 1998 he received an honorary doctorate from the University of Angers . He was a member of the Indian Academy of Sciences and a Fellow of the American Mathematical Society . In 1966 he was invited speaker at the ICM in Moscow (On the problem of resolution of singularities).
Tzuong-Tsieng Moh is one of his PhD students .
Fonts
- Lectures on Algebra. World Scientific 2006.
- Historical ramblings in algebraic geometry and related algebra. American Mathematical Monthly, June 1976 . Received the Lester Randolph Ford Award .
- Resolution of singularities of embedded algebraic surfaces. Academic Press, 1966, 2nd edition Springer 1998, ISBN 3-540-63719-2 .
- Algebraic Geometry for Scientists and Engineers. AMS 1990.
- Enumerative combinatorics of Young Tableaux. Dekker 1988.
- Local analytic geometry. Academic Press 1964.
- Geometric theory of algebraic space curves. Lecture Notes in Mathematics, Springer 1974.
- Weighted expansions for canonical desingularizations. Lecture Notes in Mathematics, Springer 1982.
- Lectures on expansion techniques in algebraic geometry. Tata Institute 1977.
- Three Ways of Measuring Distance, Three Orbits, Three Subdegrees, or the Great Theorems of Cameron and Kantor. Notices AMS, August 2002. (PDF file; 330 kB)
- Galois theory on the line in nonzero characteristic. BAMS Vol. 27, 1992, pp. 68-131.
- Resolution of singularities and modular Galois theory. BAMS 2001.
Web links
- Literature by and about Shreeram Abhyankar in the catalog of the German National Library
- Page on Abhyankar at Purdue University
- Shreeram Abhyankar in the Mathematics Genealogy Project (English)
- Shashikant Mulay, Avinash Sathaye (eds.), Shreeram Abhyankar, Notices AMS, 2014, No. 10, pdf
Individual evidence
- ^ Obituary on Legacy.com. Retrieved December 7, 2012
| personal data | |
|---|---|
| SURNAME | Abhyankar, Shreeram |
| ALTERNATIVE NAMES | Abhyankar, Shreeram Shankar |
| BRIEF DESCRIPTION | Indian mathematician |
| DATE OF BIRTH | July 22, 1930 |
| PLACE OF BIRTH | Ujjain , India |
| DATE OF DEATH | November 2, 2012 |
| Place of death | West Lafayette , Indiana , United States |