M. S. Raghunathan

MS Raghunathan ( Madabusi Santanam Raghunathan, born August 11, 1941 in Anantapur district in Anantapur, Andhra Pradesh ) is an Indian mathematician.

He grew up in Chennai on (his birthplace is of his grandparents ), where he attended and Bangalore in the higher school. His father had studied physics, but then went into the timber business of the family. Raghunathan earned a bachelor's degree at the Vivekananda College in Chennai and studied at the University of Bombay, where he received his doctorate in 1966 at MS Narasimhan. Since 1960, he conducted research at the Tata Institute of Fundamental Research in Bombay and solved there in 1963 made ​​to him by Narasimhan research problem about deformation of linear connections and Riemannian metrics. As a post - graduate student, he spent a year at the Institute for Advanced Studies. In 1966 he became a member of the Tata Institute

It deals since the 1970s with discrete subgroups of Lie groups, related rigidity problems and applications in number theory. In particular, he was wearing some with his disciple Gopal Prasad to the problem of Kongruenzuntergruppen. He formulated the Oppenheim conjecture about the values ​​irrational indefinite quadratic forms in a ergodentheoretisches problem ( " every bounded SO (2,1) - orbits in SL (3, R) / SL (3, Z) has been completed" ) to, which was later solved by Margulis. A more general version of this conjecture became known as the Raghunathan conjecture and proved the end of the 80 years of Ratner. The set of Ratner (the former Raghunathan 's conjecture ) has applications in many areas of mathematics.

He is a Fellow of the Royal Society (2000), the American Mathematical Society and the Third World Academy of Sciences. In 1977 he was awarded the Shanti Swarup Bhatnagar Prize for Science and Technology in mathematics.

He is in India since 1983 Member of the National Board of Higher Mathematics ( NBHM ) and 1987 of the Chairman. In 1987 he organized an international conference in honor of Ramanujan in Chennai. He is a board member of the Mehta Research Institute, Allahabad and Member of the Executive Committee of the International Mathematical Union.

Writings

  • Discrete Subgroups of Lie Groups, Springer Verlag, 1972 ( the book was also translated into Russian )
  • With Garland: Fundamental domains for lattices in ( R-) rank 1 semisimple Lie groups. Ann. of Math (2) 92 1970 279-326.
  • With Prasad: Topological central extensions of semisimple groups over local fields. I: Ann. of Math ( 2) 119 (1984 ), no 1, 143-201; II: Ann. of Math ( 2) 119 (1984 ), no 2, 203-268.
  • With Lubotzky, Mozes: The word and Riemannian metrics on lattices of semisimple groups. Inst Hautes Études Sci. Publ Math No. 91 (2000), 5-53 ( 2001).
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