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S Ramanan

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Nationality
  
India

Fields
  
Algebraic geometry


Role
  
Mathematician

Name
  
S. Ramanan

Books
  
Global calculus


Institutions
  
Chennai Mathematical Institute, Chennai Institute of Mathematical Sciences, Chennai

Alma mater
  
Tata Institute of Fundamental Research, Mumbai Ramakrishna Mission Vivekananda College, Chennai

Notable awards
  
Shanti Swarup Bhatnagar Prize for Science and Technology, Ramanujan Medal, Third World Academy of Sciences Prize for Mathematics

Education
  
Ramakrishna Mission Vivekananda College, Tata Institute of Fundamental Research

Doctoral advisor
  
M. S. Narasimhan

008 concept of moduli by s ramanan


S (Sundararaman) Ramanan (born 20 July 1937) is an Indian mathematician who works in the area of algebraic geometry, moduli spaces and Lie groups. He is one of India's leading mathematicians and internationally recognised as an outstanding expert in algebraic geometry, especially in the area of modulii problems. He has also done some very beautiful work in differential geometry: his joint paper with MS Narasimhan on universal connections has been very influential. It enabled, among other things, SS Chern and B Simons to introduce what is known as the Chern-Simons invariant, which has proved useful in theoretical physics.

Contents

The honours awarded to Professor Ramanan include the Shanti Swarup Bhatnagar Prize, India's highest science prize, in 1979; the TWAS Prize for Mathematics in 2001 and the Ramanujan Medal in 2010.

He is the nephew of the Sanskrit scholar and Vedanta expert, the late Ramachandra Dikshitar, who was a professor at the Banaras Hindu University. Professor Ramanan is also a great aficionado and an amateur singer of Carnatic music.

He is an alumnus of the Ramakrishna Mission School in Chennai and the Vivekananda College in Chennai, where he completed a BA Honours in mathematics, standing second in mathematics and first in English among students of the science stream in the final exams in what was then Madras Presidency. He completed his PhD at the Tata Institute of Fundamental Research, under the direction of MS Narasimhan, with whom he collaborated for decades. He did his post-doctoral studies at Oxford University, Harvard University and ETH Zurich.

He later pursued a lengthy career at TIFR, with many international visits. He picked up the methods of modern differential geometry from the French mathematician Jean-Louis Koszul, and later successfully applied it for his research centred on algebraic geometry. He has also made important contributions to the topics of abelian varieties and also vector bundles.

He was a senior colleague of M S Raghunathan and influenced him considerably. Vijay Kumar Patodi who proved part of the Atiyah-Singer index theorem, was found and encouraged by Ramanan, and Patodi's PhD was done under the combined direction of Narasimhan and Ramanan. He has a considerable number of students. Mathematicians influenced by Ramanan include N Mohan Kumar, Shrawan Kumar, D S Nagaraj, Kapil H Paranjape, Jaya Iyer, Annamalai Ramanathan and several others.

He was very close to, and has closely collaborated with, many Western mathematicians of note, like the late Raoul Bott, who was at Harvard University. While in TIFR as distinguished professor, he was one of the important figures in the school of mathematics in India. He now continues his contributions via teaching and mentoring at the Chennai Mathematical Institute, where he is adjunct professor, and the Institute of Mathematical Sciences, Chennai.

He is a great lecturer and expositor. He has written the book Modulii of Abelian Varieties with Allan Adler, published by Springer-Verlag, and a graduate-level book on algebraic geometry called Global Calculus, published by the American Mathematical Society.

He has been a visiting professor at many of the world's leading universities, including Harvard University, University of California at Berkeley, the Institute of Advanced Study in Princeton, UCLA, Oxford University, Cambridge University, the Max Planck Institute and University of Paris. In 1978 he gave one of the prestigious 50 minute invited talks at the International Congress of Mathematicians in Helsinki, and has also been a speaker at many major international conferences. In 1999, he was extended the privilege of speaking on some aspects of the work of André Weil, one of the greatest mathematicians of 20th century, on the occasion of his being awarded the prestigious Inamouri Prize.

He is married to Anuradha Ramanan, a translator and former librarian, and has two daughters.

The first daughter is Sumana Ramanan, a senior journalist. A graduate of Brandeis University and the University of Chicago, she is now a freelance journalist and columnist. Earlier, she was the managing editor of Scroll.in, an award-winning pioneering digital newspaper, which she helped start; a senior editor and readers' editor at the Hindustan Times; an editor with Reuters; and a foreign correspondent based in Jerusalem, Israel. She was part of the team that won the Ramnath Goenka Award for spot reporting of the 2008 Mumbai terror attacks and is the recipient of the Red Ink journalism award in 2016 for her writing on culture. She is married to Jaikumar Radhakrishnan, a theoretical computer scientist.

Professor Ramanan's second daughter is Kavita Ramanan, a noted mathematician who is now a professor of applied mathematics at Brown University in Providence, Rhode Island, USA. She was previously at Bell Labs and Carnegie Mellon University. A graduate of the Indian Institute of Technology, Mumbai, she got her Phd from Brown University, Rhode Island, USA. She is the recipient of the prestigious international Erlang Prize for outstanding contributions to applied probability, in 2006.kr

Selected publications

  • I. Biswas & S. Ramanan (1994). "An infinitesimal study of the moduli of Hitchin pairs". Journal of the London Mathematical Society. 49 (2): 219–231. doi:10.1112/jlms/49.2.219. 
  • References

    S. Ramanan Wikipedia