S. Ramanan

Q: What Schools Are Affiliated With S. Ramanan

S. Ramanan is affiliated with the following schools: Tata Institute of Fundamental Research, University of Madras, University of Mumbai

S. Ramanan's AcademicInfluence.com Rankings

S. Ramanan

Mathematics

#737

World Rank

#1338

Historical Rank

Number Theory

#88

World Rank

#123

Historical Rank

Algebra

#435

World Rank

#592

Historical Rank

Measure Theory

#3151

World Rank

#3736

Historical Rank

mathematics Degrees

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Mathematics

Why Is S. Ramanan Influential?

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According to Wikipedia, Sundararaman Ramanan 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 recognised as an expert in algebraic geometry, especially in the area of moduli problems. He has also worked in differential geometry: his joint paper with MS Narasimhan on universal connections has been influential. It enabled SS Chern and B Simons to introduce what is known as the Chern-Simons invariant, which has proved useful in theoretical physics.

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S. Ramanan's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

Spectral curves and the generalised theta divisor. (1989) (383)
Moduli of Vector Bundles on a Compact Riemann Surface (1969) (330)
Deformations of the Moduli Space of Vector Bundles Over an Algebraic Curve (1975) (210)
EXISTENCE OF UNIVERSAL CONNECTIONS II. (1961) (201)
Some remarks on the instability flag (1984) (196)
The moduli spaces of vector bundles over an algebraic curve (1973) (180)
Projective normality of flag varieties and Schubert varieties (1985) (159)
An Infinitesimal Study of the Moduli of Hitchin Pairs (1994) (157)
Classification of vector bundles of rank 2 on hyperelliptic curves (1976) (133)
Moduli of Abelian varieties (1996) (129)
On the Canonical Ring of a Curve (1988) (96)
Poincaré polynomials of the variety of stable bundles (1975) (83)
Orthogonal and spin bundles over hyperelliptic curves (1981) (80)
Holomorphic vector bundles on homogeneous spaces (1966) (62)
New evidence for Green's conjecture on syzygies of canonical curves (1997) (57)
On vector bundles destabilized by Frobenius pull-back (2002) (50)
Hecke curves and Hitchin discriminant (2003) (49)
AMPLE DIVISORS ON ABELIAN SURFACES (1985) (40)
Proceedings of the Hyderabad Conference on algebraic groups (1991) (34)
Poincaré bundles for families of curves. (1985) (30)
Involutions and higher order automorphisms of Higgs bundle moduli spaces (2016) (22)
Proceedings of the Indo-French Conference on Geometry (1980) (17)
Primitive line bundles on abelian threefolds (1993) (15)
Brill-Noether Bundles and Coherent Systems on Special Curves (2009) (14)
TWISTED HIGGS BUNDLES AND THE FUNDAMENTAL GROUP OF COMPACT K (2000) (11)
Moduli spaces and vector bundles (2009) (9)
Involutions of Rank 2 Higgs Bundle Moduli Spaces (2018) (6)
A Duality for Spin Verlinde Spaces and Prym Theta Functions (1999) (6)
Involutions of Higgs bundle moduli spaces (2016) (4)
Vanishing theorems and applications (2004) (3)
Resolutions for some filtered algebras (1962) (3)
Moduli Spaces and Vector Bundles: The Theory of Vector Bundles on Algebraic Curves with Some Applications (2009) (2)
Some Aspects of the Theory of Higgs Pairs (2010) (2)
A note on the global dimension of some algebras (1963) (1)
Solar Energy in India - a Motivation for Engineering Undergraduates (2013) (1)
Protective geometry (1997) (1)
Higgs Bundles in the Vector Representation (2009) (1)
Invariant theory, arithmetic and vector bundles (1996) (0)
Nonparametric regression estimation with applications in radial basis networks and learning (1994) (0)
Connections on principal and vector bundles; Lifting of symbols (2004) (0)
Manifolds with additional structures (2004) (0)
Heisenberg groups of line bundles on abelian varieties (1996) (0)
Trigonal Curves and Galois Spin(8)-bundles the Group Spin(8) Occupies a Special Position among the Complex Simple Lie Groups, in Having Outer Automorphism Group S 3 and an Appealing Dynkin Diagram (0)
Remembering M. S. Narasimhan (1932–2021) Arnaud Garc´ıa-Prada, (2022) (0)
Theta structures and the addition formula (1996) (0)
Sheaves and differential manifolds: Definitions and examples (2004) (0)
M. S. Narasimhan (1932–2021) (2021) (0)
Local analysis of elliptic operators (2004) (0)
Cohomology of sheaves and applications (2004) (0)
Standard Heisenberg Groups (1996) (0)
Vector bundles and complex geometry : conference on vector bundles in honor of S. Ramanan on the occasion of his 70th birthday, June 16-20, 2008, Miraflores de la Sierra, Madrid, Spain (2010) (0)
Geometry and arithmetic of the fundamental relations (1996) (0)
Remembering M. S. Narasimhan (1932–2021) (2022) (0)
Integration on differential manifolds (2004) (0)
Dualities on T*SUX (2, OX ) (2009) (0)
Trigonal curves and Galois Spin(8)-bundles (1999) (0)

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Other Resources About S. Ramanan

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What Schools Are Affiliated With S. Ramanan?

S. Ramanan is affiliated with the following schools:

S. Ramanan's Academic­Influence.com Rankings

Why Is S. Ramanan Influential?

S. Ramanan's Published Works

Published Works

Other Resources About S. Ramanan

What Schools Are Affiliated With S. Ramanan?

S. Ramanan's AcademicInfluence.com Rankings