S. S. Abhyankar
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| S. S. Abhyankar | |
| Born | 1930 Maharashtra, India |
|---|---|
| Residence | Purdue |
| Fields | Algebraic Geometry |
| Institutions | Purdue University |
| Alma mater | University of Mumbai, Harvard University |
| Doctoral advisor | Oscar Zariski, |
| Known for | Abhyankar's conjecture, Abhyankar's lemma, Abhyankar-Moh theorem |
| Notable awards | Chauvenet Prize from the Mathematical Association of America (1978) |
Shreeram Shankar Abhyankar (born in 1930) is an Indian mathematician known for his contributions to algebraic geometry. He is the Marshall distinguished professor of mathematics and professor of computer science and industrial engineering at Purdue University. His name is associated with Abhyankar's conjecture of finite group theory.
His current research is in the area of computational geometry and algorithmic algebraic geometry.
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[edit] Career
Abhyankar was born in a Maharashtrian koknastha Brahmin family. He earned his B.Sc. from University of Mumbai in 1951, his A.M. at Harvard University in 1952, and his Ph.D. at Harvard in 1955. His thesis, written under the direction of Oscar Zariski, was titled Local uniformization on algebraic surfaces over modular ground fields. Before going to Purdue, he was an associate professor of mathematics at Cornell University and Johns Hopkins University [1].
He was appointed the Marshall Distinguished Professor of Mathematics at Purdue in 1967.
His research topics include algebraic geometry (particularly resolution of singularities), commutative algebra, local algebra, valuation theory, theory of functions of several complex variables, quantum electrodynamics, circuit theory, invariant theory, combinatorics, computer-aided design, and robotics. He popularized the Jacobian conjecture.
[edit] Selected publications
- [BOOK] Algebraic surfaces, O Zariski, SS Abhyankar, J Lipman, D Mumford - 1995 - books.google.com
- [BOOK] Lectures on expansion techniques in algebraic geometry, SS Abhyankar, B Singh - 1977 - Tata Institute of Fundamental Research
- Local rings of high embedding dimension, SS Abhyankar - American Journal of Mathematics, 1967 - jstor.org [2]
[edit] Honors
Abhyankar has won numerous awards and honors.
- Fellow of the Indian Academy of Sciences
- Editorial board member of the Indian Journal of Pure and Applied Mathematics
- Chauvenet Prize from the Mathematical Association of America (1978)
- Honorary Doctorate Degree (Docteur Honoris Causa) by the University of Angers in France (29 October, 1998)
