M. S. Narasimhan
MS Narasimhan ( Mudumbai Seshachalu Narasimhan, born June 7, 1932 in Thandara, Tamil Nadu ) is an Indian mathematician who deals with function theory, differential geometry, mathematical physics and algebraic geometry.
Narasimhan grew up in the country and studied at Loyola College in Madras, where he was by the Jesuit Father Racine, a student of Jacques Hadamard and Elie Cartan, taught, and at the Tata Institute of Fundamental Research in Mumbai (Bombay). In 1959 he received his doctorate at the University of Bombay in K. Chandrasekharan. After that he was from the mid- 1960s, Professor at the Tata Institute. In 1968/69 he was in Princeton at the Institute for Advanced Study. 1992 to 1999 he was head of the mathematics department at the " Abdus Salam International Centre for Theoretical Physics" in Trieste. He was also president of the Commission for Development and Exchange of International Mathematical Union and first chairman of the Indian National Board for Higher Mathematics. He was a visiting professor at, among others, Kaiserslautern and Japan.
Narasimhan is mainly known for his work on the moduli spaces of holomorphic vector bundles on projective manifolds. With CS Seshadri he characterized the stable vector bundles on algebraic curves ( Riemann surfaces ) by unitary representations of certain discrete groups. With S. Ramanan, he examined the singularities of the moduli spaces of vector bundles on algebraic curves and their resolution (for small rank ). His work Existence of universal connections with Ramanan also has applications in theoretical physics ( gauge theories, Chern - Simons theory).
Narasimhan is a Fellow of the Royal Society, a member of the Indian Academy of Sciences and an honorary member of the Tata Institute. In 1975 he was awarded the Shanti Swarup Bhatnagar Prize, 1987 Third World Academy Award for Mathematics, 1990 Padma Bhushan and the Order in 2006 with Simon Donaldson the King Faisal International Prize for Science. In 1970 he was invited speaker at the International Congress of Mathematicians in Nice ( Geometry of moduli spaces of vector bundles ).
His doctoral include S. Ramanan, MS Raghunathan and Vijay Kumar Patodi.
He should not be confused with the mathematician Raghavan Narasimhan, who also deals with complex analysis.
Writings
- Collected Papers. 2 vols New Delhi :) 2007 ( Content.
- With CS Seshadri: Stable and unitary vector bundles on a compact Riemann surface. Annals of Mathematics Bd.82, 1965, S.540 - 567th
- With Ramanan: Existence of universal connections. American Journal of Mathematics. 1961 1963
Among the works with Ramanan on vector bundles, see p Ramanan.