Biography
Sundararaman Ramanan, Indian mathematician (Thiruvannamalai, Tamil Nadu State 20 July 1936 –
Expert on algebraic geometry
With M.S. Narasimhan proved the existence of universal connections in differential geometry (1961-3)
Showed that moduli space of vector bundles on an algebraic curve has the same local deformation space as that of the curve
Gave a method of identifying the local deformations of moduli and a phenomenon of non-existence of Poincaré families for some of moduli spaces in low genus
Proved that irreducible homogenous bundles on rational homogeneous varieties are stable (1966)
Explained Capelli identity in terms of an element of the universal enveloping algebra of the linear group
Described the moduli space of rank 2 vector bundles over hyperelliptic curves
With Beauvifie & Narasimhan verified Verlinde formula at first level
With A. Ramanathan proved the normality of Schubert ad flag varieties
EPONYMY
Ramanan-Ramanathan theorem
Adler-Ramanan-Klein bundle
Paranjape-Ramanan conjecture
Narasimhan-Ramanan moduli space
Newstead-Ramanan conjecture
Ramanan theorem
Narasimhan-Ramanan theorem
Narasimhan-Ramanan parameterization
Narasimhan-Ramanan singular curves
Narasimhan-Ramanan invariants
Narasimhan-Ramanan-Verra map
Desale-Ramanan relation