MS Raghunathan

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

He grew up in Chennai (his birthplace is that of his grandparents) and attended high school there and in Bangalore . His father had studied physics, but then got into the family's timber business. Raghunathan received his bachelor's degree from Vivekananda College in Chennai and studied at the University of Bombay , where he received his PhD in 1966 under MS Narasimhan . He had been doing research at the Tata Institute of Fundamental Research in Bombay since 1960 , where in 1963 he solved a research problem posed by Narasimhan about deformations of linear relationships and Riemannian metrics. As a post-doctoral student , he spent a year at the Institute for Advanced Studies . In 1966 he became a member of the Tata Institute.

He has been dealing with discrete subsets of Lie groups , related rigidity problems, and applications in number theory since the 1970s . In particular, he partly contributed to the problem of congruence subgroups with his student Gopal Prasad . He formulated the Oppenheim conjecture about the values ​​of irrational, indefinite quadratic forms in an ergodic problem ("every bounded SO (2,1) orbit in SL (3, R) / SL (3, Z) is closed"), which was later solved by Margulis . A more general version of this conjecture became known as the Raghunathan Conjecture and was proven by Ratner in the late 1980s . The set of Ratner (the former Raghunathan 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 received the Shanti Swarup Bhatnagar Prize for Science and Technology in Mathematics.

He has been a member of the National Board of Higher Mathematics (NBHM) in India since 1983 and became its chairman in 1987. In 1987 he organized an international conference in honor of Ramanujan in Chennai. He is on the board of the Mehta Research Institute in Prayagraj and a member of the Executive Committee of the International Mathematical Union . In 2010/11 and 2011/12 he was on the Abel Prize Committee. In 2018 he was on the Fields Medal Award Committee .

Fonts

  • 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).

Web links

Individual evidence

  1. ^ Mathematics Genealogy Project
  2. ^ Armand Borel : On the work of MS Raghunathan. Algebraic groups and arithmetic, 1-24, Tata Inst. Fund. Res., Mumbai, 2004.
personal data
SURNAME Raghunathan, MS
ALTERNATIVE NAMES Raghunathan, Madabusi Santanam (full name)
BRIEF DESCRIPTION Indian mathematician
DATE OF BIRTH August 11, 1941
PLACE OF BIRTH Anantapur in the Anantapur District , Andhra Pradesh