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Shreeram Shankar Abhyankar
Abhyankar Grothendieck.jpg
Shreeram Abhyankar (right) with Alexander Grothendieck (left), Michael Artin in the background, at Montreal, Quebec, Canada in 1970.
Born (1930-07-22)22 July 1930
Died 2 November 2012(2012-11-02) (aged 82)
West Lafayette, Indiana, USA
Citizenship United States
Alma mater University of Mumbai
Harvard University
Known for Abhyankar's conjecture, Abhyankar's lemma, Abhyankar–Moh theorem
Awards Chauvenet Prize (1978)
Scientific career
Fields Mathematics
Institutions Purdue University
Doctoral advisor Oscar Zariski

Shreeram Shankar Abhyankar (22 July 1930 – 2 November 2012) was an Indian American mathematician known for his contributions to algebraic geometry. At the time of his death, he held the Marshall Distinguished Professor of Mathematics Chair at Purdue University, and was also a professor of computer science and industrial engineering. He is known for Abhyankar's conjecture of finite group theory.

His latest research was in the area of computational and algorithmic algebraic geometry.

Career

Abhyankar was born in a Chitpavan Brahmin family in Ujjain, Madhya Pradesh, India. He earned his B.Sc. from the Royal Institute of Science of University of Mumbai in 1951, his M.A. 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.

Abhyankar was appointed the Marshall Distinguished Professor of Mathematics at Purdue in 1967. His research topics include algebraic geometry (particularly resolution of singularities, a field in which he made significant 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.

Death

Abhyankar died of a heart condition on 2 November 2012 at his residence near Purdue University.

Honours

Abhyankar has won numerous awards and honours.

  • Abhyankar received the Herbert Newby McCoy Award from Purdue University in 1973 .
  • 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)
  • Fellow of the American Mathematical Society (2012)

See also

  • Abhyankar's conjecture
  • Abhyankar's inequality
  • Abhyankar's lemma
  • Abhyankar–Moh theorem
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