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{{Infobox Scientist
{{Citations missing|article|date=January 2008}}
|name = S. S. Abhyankar
⚫
[[Image:Abhyankar.jpg|right]]
|box_width = 100px
⚫
|image = Abhyankar.jpg|right
|image_width =
|caption =
|birth_date = 1930
|birth_place = [[Maharashtra]], [[India]]
|residence = [[Purdue]]
|citizenship =
|nationality =
|ethnicity =
|field = [[Algebraic Geometry]]
|work_institutions = [[Purdue University]]
|alma_mater = [[University of Mumbai]], <br/> [[Harvard University]]
|doctoral_advisor = [[Oscar Zariski]],
|known_for = [[Abhyankar's conjecture]], [[Abhyankar's lemma]], [[Abhyankar-Moh theorem]]
|author_abbrev_bot =
|author_abbrev_zoo =
|influences =
|influenced =
|prizes = [[Chauvenet Prize]] from the [[Mathematical Association of America]] (1978)
|footnotes =
|signature =
}}


'''Shreeram Shankar Abhyankar''' was born in 1930, and is an [[India]]n [[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]].
'''Shreeram Shankar Abhyankar''' (born in 1930) is an [[India]]n [[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]].
==Career==
==Career==
Abhyankar was born in a [[Marathi people|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 [[John Hopkins University]].
Abhyankar was born in a [[Marathi people|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 [[John Hopkins University]] <ref>[http://www.cs.purdue.edu/people/faculty/ram/ Home page at Purdue] </ref>.


He was appointed the Marshall Distinguished Professor of Mathematics at Purdue in 1967.
He was appointed the Marshall Distinguished Professor of Mathematics at Purdue in 1967.
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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]].
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]].


==Selected publications==
⚫
His current research is in the area of [[computational geometry]] and algorithmic [[algebraic geometry]].
* [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 <ref>[http://scholar.google.com/scholar?q=%22SS+Abhyankar%22&hl=en&lr= Google scholar] </ref>


== Honors ==
== Honors ==
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* Fellow of the [[Indian Academy of Sciences]]
* Fellow of the [[Indian Academy of Sciences]]
* Editorial board member of the ''Indian Journal of Pure and Applied Mathematics''
* Editorial board member of the ''Indian Journal of Pure and Applied Mathematics''
* [[Chauvenet Prize]] from the [[Mathematical Association of America]] 1978)
* [[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)
* Honorary Doctorate Degree (Docteur Honoris Causa) by the [[University of Angers]] in France (29 October, 1998)


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== External links ==
== External links ==
{{reflist}}
*{{MathGenealogy |id=16462}}
*{{MathGenealogy |id=16462}}
*[http://www.cs.purdue.edu/people/faculty/ram/ Home page at Purdue]
[[Category:People from Maharashtra]]
[[Category:People from Maharashtra]]
[[Category:1930 births|Abhyankar, Shreeram Shankar]]
[[Category:1930 births|Abhyankar, Shreeram Shankar]]

Revision as of 01:08, 29 May 2009

S. S. Abhyankar
File:Abhyankar.jpg
Born1930
Maharashtra, India
Alma materUniversity of Mumbai,
Harvard University
Known forAbhyankar's conjecture, Abhyankar's lemma, Abhyankar-Moh theorem
AwardsChauvenet Prize from the Mathematical Association of America (1978)
Scientific career
FieldsAlgebraic Geometry
InstitutionsPurdue University
Doctoral advisorOscar Zariski,

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.

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 John 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.

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]

Honors

Abhyankar has won numerous awards and honors.

See also

  1. ^ Home page at Purdue
  2. ^ Google scholar
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