Shreeram Shankar Abhyankar
| Shreeram Shankar Abhyankar श्रीराम शंकर अभयंकर |
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 Shreeram Abhyankar (right) with Alexander Grothendieck (left), Michael Artin in the background, Montreal 1970 |
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| Born | July 22, 1930 Ujjain, India |
| Residence | West Lafayette United States |
| Fields | Algebraic geometry |
| Institutions | Purdue University |
| Alma mater | Royal Institute of Science, 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 (Marathi: श्रीराम शंकर अभयंकर ) is an Indian mathematician known for his contributions to algebraic geometry. He currently holds the Marshall distinguished professor of mathematics chair at Purdue University, and is also a professor of computer science and industrial engineering. He is known for Abhyankar's conjecture of finite group theory.
His current research is in the area of computational and algorithmic algebraic geometry.
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[edit] Career
Abhyankar was born in a Maharashtrian Konkanastha Brahmin family. He earned his B.Sc. from Royal Institute of Science 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, field in which he made significative progress over fields of finite characteristic), 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.[1]
[edit] Selected publications
- Algebraic surfaces, O Zariski, SS Abhyankar, J Lipman, D Mumford – 1995 – books.google.com
- 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)
