Gadadhar found counter examples to a conjecture on similarity of operators in the Cowen and Douglas class.
He gave an explicit description of the class of completely non-unitary contractions whose characteristic function is constant.
He obtained a canonical model as well as complete invariants for a class of quotient Hilbert modules, and introduced the notion of quasi-free Hilbert modules to generalize parts of the Sz-Nagy-Foias model theory in the context of multi-variate operator theory.
He obtained a classification of scalar homogeneous shifts and also calculated the joint Taylor spectrum of a class of multiplication operators on the "twisted" Bergman space.
Misra described the holomorphic Hermitian vector bundles over the unit disc, which are homogeneous under the action of SL (2,R).