Dr Narasimhan has made significant contribution in the fields of differential equations, differential geometry and algebraic geometry. Working jointly with Dr C S Seshadri, he gave a characterization of stable vector bundles on an algebraic curve in terms of unitary representation of certain discrete groups. In a joint study of the moduli varieties of these vector bundles with S Ramanan, he has determined the singularities of these varieties and in the case of low ranks their desingularisation. Apart from relating the moduli of these varieties with moduli of the curve, he has contributed to the study of their cohomology.