Shreeram Shankar Abhyankar

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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
Died2 November 2012(2012-11-02) (aged 82)
CitizenshipUnited States
Alma materUniversity of Mumbai
Harvard University
Known forAbhyankar's conjecture, Abhyankar's lemma, Abhyankar–Moh theorem
AwardsChauvenet Prize (1978)
Scientific career
InstitutionsPurdue University
Doctoral advisorOscar Zariski

Shreeram Shankar Abhyankar (22 July 1930 – 2 November 2012)[1][2] was an Indian American mathematician known for his contributions to algebraic geometry. He, at the time of his death, 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.


Abhyankar was born in a Chitpavan Brahmin family in Ujjain, Madhya Pradesh, India. He earned his B.Sc. from 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.[3][4] 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.


Abhyankar died of a heart condition on 2 November 2012 at his residence near Purdue University.[5]

Selected publications[edit]

  • Abhyankar, Shreeram S. (1967). "Local rings of high embedding dimension". American Journal of Mathematics. 89 (4): 1073–1077. doi:10.2307/2373418. JSTOR 2373418. MR 0220723.
  • Abhyankar, Shreeram S. (1977). Lectures on expansion techniques in algebraic geometry. Tata Institute of Fundamental Research Lectures on Mathematics and Physics. Vol. 57. Notes by Balwant Singh. Tata Institute of Fundamental Research. MR 0542446.
  • Abhyankar, Shreeram S.; Moh, Tzuong-Tsieng (1975). "Embeddings of the line in the plane". Journal für die reine und angewandte Mathematik. 276: 148–166. MR 0379502.
  • Zariski, Oscar (1971). Algebraic surfaces. Ergebnisse der Mathematik und ihrer Grenzgebiete. Vol. 61. With appendices by Shreeram S. Abhyankar, Joseph Lipman, and David Mumford (Second supplemented ed.). New York–Heidelberg: Springer-Verlag. MR 0469915.


Abhyankar has won numerous awards and honours.

See also[edit]


  1. ^ "S. S. Abhyankar (1930–2012)" (PDF). Current Archived from the original (PDF) on 16 March 2013.
  2. ^ by SR Ghorpade. "Remembering Shreeram S. Abhyankar" (PDF). Asia Pacific Mathematics Newsletter. Archived from the original (PDF) on 18 June 2013.
  3. ^ Shreeram Shankar Abhyankar at the Mathematics Genealogy Project
  4. ^ "Abhyankar biography". Retrieved 20 January 2017.
  5. ^ "Shreeram S. Abhyankar. Obituary". Retrieved 24 November 2012.
  6. ^ Abhyankar, Shreeram (1976). "Historical ramblings in algebraic geometry and related algebra". Amer. Math. Monthly. 83 (6): 409–448. doi:10.2307/2318338. JSTOR 2318338.
  7. ^ List of Fellows of the American Mathematical Society, retrieved 2012-11-03.

External links[edit]