MS Narasimhan

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MS Narasimhan (2010)

MS Narasimhan ( Mudumbai Seshachalu Narasimhan , Tamil எம்.எஸ்.நரசிம்மன் ; born June 7, 1932 in Thandara , Tamil Nadu ; † May 16, 2021 ) was an Indian mathematician who studied 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 tutored by the Jesuit Father Charles Racine, a student of Jacques Hadamard and Élie Cartan , and at the Tata Institute of Fundamental Research in Mumbai (Bombay). In 1959 he received his doctorate from the University of Bombay with K. Chandrasekharan . After that he was a professor at the Tata Institute from the mid-1960s. In 1968/69 he was at the Institute for Advanced Study in Princeton . From 1992 to 1999 he was head of the mathematics department at the "Abdus Salam International Center for Theoretical Physics" inTrieste . He was also president of the Commission for Development and Exchange of the International Mathematical Union and first chairman of India's National Board for Higher Mathematics. He was visiting professor in Kaiserslautern and Japan, among others.

Narasimhan is best known for his work on the modular spaces of holomorphic vector bundles on projective manifolds . With CS Seshadri he characterized the stable vector bundles on algebraic curves ( Riemann surfaces ) through unitary representations of certain discrete groups. With S. Ramanan he investigated the singularities of the module spaces of the 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 was a Fellow of the Royal Society, a Fellow of the Indian Academy of Sciences, and an Honorary Fellow of the Tata Institute. In 1975 he received the Shanti Swarup Bhatnagar Prize , in 1987 the Third World Academy Award for Mathematics, in 1990 the Order of Padma Bhushan and 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 PhD students include S. Ramanan , MS Raghunathan , TR Ramadas and Vijay Kumar Patodi .

He should not be confused with the mathematician Raghavan Narasimhan , who also dealt with function theory.

MS Narasimhan (left) with Grigori Margulis , 2007

Fonts

  • Collected Papers ; two volumes; New Delhi 2007 (for content see: [1] ).
  • with CS Seshadri : Stable and unitary vector bundles on a compact Riemann surface. Annals of Mathematics Vol. 82, 1965, pp. 540-567.
  • with S. Ramanan: Existence of universal connections. American Journal of Mathematics, Vol. 83, 1961, pp. 563-572.

For the work with Ramanan on vector space bundles see S. Ramanan .

Web links

Commons : MS Narasimhan  - collection of images, videos and audio files

Individual evidence

  1. ↑ PM condoles demise of modes mathematician MS Narasimhan. In: aninews.in. May 16, 2021, accessed May 16, 2021 .
  2. ↑ Narasimhan, Ramanan Existence of universal connections , 1,2, American J. Math., Vol. 83, 1961, pp. 563-572, Vol. 85, 1963, pp. 223-231
personal data
SURNAME Narasimhan, MS
BRIEF DESCRIPTION Indian mathematician
DATE OF BIRTH June 7, 1932
PLACE OF BIRTH Thandara , Tamil Nadu
DATE OF DEATH May 16, 2021