S. Ramanan
Encyclopedia
Professor S. Ramanan (born 20 July 1937) is an India
n mathematician
who works in the area of algebraic geometry
, moduli space
s and Lie group
s. He completed his Ph. D. at the Tata Institute of Fundamental Research, under the direction of M. S. Narasimhan, with whom he collaborated for decades. 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 centered around 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 Ph. D. was done under the combined direction of Narasimhan and Ramanan. He has a considerable number of students. Mathematicians influenced by Ramanan include M. Mohan Kumar, Shrawan Kumar, D. S. Nagaraj, Kapil H. Paranjape, Jaya Iyer and several others. He was very close to, and has closely collaborated with, many western mathematicians of note, like Raoul Bott
. 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 at the Chennai Mathematical Institute
, where he is adjunct professor. He is a great lecturer and expositor, and has written a graduate level book on Global Calculus. His daughter Kavita Ramanan is also a mathematician.
The honors awarded to prof. Ramanan include the Shanti Swarup Bhatnagar Prize in 1979. He is an alumnus of the Vivekananda College
in Chennai.
India
India , officially the Republic of India , is a country in South Asia. It is the seventh-largest country by geographical area, the second-most populous country with over 1.2 billion people, and the most populous democracy in the world...
n mathematician
Mathematician
A mathematician is a person whose primary area of study is the field of mathematics. Mathematicians are concerned with quantity, structure, space, and change....
who works in the area of algebraic geometry
Algebraic geometry
Algebraic geometry is a branch of mathematics which combines techniques of abstract algebra, especially commutative algebra, with the language and the problems of geometry. It occupies a central place in modern mathematics and has multiple conceptual connections with such diverse fields as complex...
, moduli space
Moduli space
In algebraic geometry, a moduli space is a geometric space whose points represent algebro-geometric objects of some fixed kind, or isomorphism classes of such objects...
s and Lie group
Lie group
In mathematics, a Lie group is a group which is also a differentiable manifold, with the property that the group operations are compatible with the smooth structure...
s. He completed his Ph. D. at the Tata Institute of Fundamental Research, under the direction of M. S. Narasimhan, with whom he collaborated for decades. 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
Jean-Louis Koszul
Jean-Louis Koszul is a mathematician best known for studying geometry and discovering the Koszul complex.He was educated at the Lycée Fustel-de-Coulanges in Strasbourg before studying at the Faculty of Science in Strasbourg and the Faculty of Science in Paris...
, and later successfully applied it for his research centered around 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
Vijay Kumar Patodi
Vijay Kumar Patodi was an Indian mathematician who made fundamental contributions to differential geometry and topology. He was the first mathematician to apply heat equation methods to the proof of the Index Theorem for elliptic operators...
who proved part of the Atiyah-Singer index theorem, was found and encouraged by Ramanan, and Patodi's Ph. D. was done under the combined direction of Narasimhan and Ramanan. He has a considerable number of students. Mathematicians influenced by Ramanan include M. Mohan Kumar, Shrawan Kumar, D. S. Nagaraj, Kapil H. Paranjape, Jaya Iyer and several others. He was very close to, and has closely collaborated with, many western mathematicians of note, like Raoul Bott
Raoul Bott
Raoul Bott, FRS was a Hungarian mathematician known for numerous basic contributions to geometry in its broad sense...
. 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 at the Chennai Mathematical Institute
Chennai Mathematical Institute
Chennai Mathematical Institute is a research and education institute in Chennai, India. It was founded by the SPIC Science Foundation in 1989, and offers undergraduate as well as postgraduate programmes in physics, mathematics and computer science, besides its key strength in the form of high-end...
, where he is adjunct professor. He is a great lecturer and expositor, and has written a graduate level book on Global Calculus. His daughter Kavita Ramanan is also a mathematician.
The honors awarded to prof. Ramanan include the Shanti Swarup Bhatnagar Prize in 1979. He is an alumnus of the Vivekananda College
Vivekananda College
Ramakrisna Mission Vivekananda College, named after Swami Vivekananda, was inaugurated on 21 June 1946 by professor, philosopher, and politician, Sarvepalli Radhakrishnan. It is in Mylapore, the centre of Chennai, India on 20 acres . The principal of is Dr. S...
in Chennai.