Research Interests:
I am an algebraic geometer, specializing in the theory of vector bundles and related objects, and their moduli spaces. I have a construction of the moduli spaces for Hitchin pairs, logarithmic connections and D modules, and recently also for rank 2 unstable bundles on curves. I have proved results about the topology of these spaces, and also on the topology of conic and quadric bundles and related characteristic classes. Besides algebraic geometry and topology, I am interested in mathematical logic and the foundations of mathematics, as well as in mathematical physics. I have a special interest in mathematics education at the higher level. Currently, I am a Member of the National Board for Higher Mathematics of the Government of India.