Shreeram Shankar Abhyankar
Shreeram Shankar Abhyankar ( Marathi: श्रीराम शंकर अभ्यंकर, Sriram Sankar Abhyankar, born July 22, 1930 in Ujjain, India, † November 2, 2012 in West Lafayette, Indiana, United States) was an Indian mathematician who with algebraic geometry and algebra employed.
Life
Shreeram Abhyankar graduated from the University of Bombay, where in 1951 he earned his bachelor 's degree, and at Harvard, where he graduated in 1952 and received his doctorate in 1955 with Oscar Zariski (Local Uniformization on Algebraic Surfaces over Modular Ground Fields). After that, he was an associate professor at Johns Hopkins University and a professor at Purdue University, where he was from 1967 Marshall Distinguished Professor of Mathematics.
Abhyankar worked example of the resolution of singularities, where he gave a proof of algebraic surfaces over fields of prime characteristic in his dissertation in 1956 ( Annals of Mathematics vol 63, p 491 ) ( after his teacher Zariski already evidence of characteristic 0 so over the complex numbers, were ). He also proved 1966, the solvability of three-dimensional algebraic varieties over prime fields of characteristic greater than 5 He is also interested in applications of algebraic geometry as in CAD and robotics and worked on (inverse ) Galois theory, combinatorics and the theory of functions of several complex variables.
He is known for various conjectures, for example, for a named after him conjecture from 1957, which was solved by Michel Raynaud and David Harbater 1994. In various essays, he underlined the fundamental aspects of algebraic geometry can be solved even with " high school algebra ".
In 1978 he received the Chauvenet Prize of the AMS. In 1998 he became an honorary doctorate from the University Angers. He is a member of the Indian Academy of Sciences and a Fellow of the American Mathematical Society. In 1966 he was invited speaker on the ICM in Moscow ( On the Problem of resolution of singularities ).
Writings
- Lectures on algebra. World Scientific, 2006.
- Historical ramblings in algebraic geometry and related algebra. American Mathematical Monthly June 1976. Received the Lester Randolph Ford Award.
- Resolution of singularities of embedded algebraic surfaces. Academic Press, 1966, 2nd edition Springer 1998, ISBN 3-540-63719-2.
- Algebraic Geometry for Scientists and Engineers. AMS 1990.
- Enumerative combinatorics of Young tableaux. Dekker 1988.
- Local analytic geometry. Academic Press 1964.
- Geometric theory of algebraic space curves. Lecture Notes in Mathematics, Springer 1974.
- Weighted expansions for canonical desingularizations. Lecture Notes in Mathematics, Springer 1982.
- Lectures on expansion techniques in algebraic geometry. Tata Institute in 1977.
- Galois theory on the line in nonzero characteristic. BAMS Bd.27, 1992, p.68 - 131.
- Resolution of singularities and modular Galois theory. BAMS 2001.