My work concerns Calculus of Variations, Partial Differential Equations and Geometric Analysis. In particular, geometric variational problems, where the existence and regularity issues are tied with the geometric and even topological properties of the relevant geometric structures.
I am especially interested in nonlinear systems of PDEs, typically elliptic or nearly elliptic, involving differential forms. To know more about my research, please see here.
I am presently an Assistant Professor (Tenure track) in the Department of Mathematics of the Indian Institute of Science (IISc) in Bengaluru and a member of the Analysis and Probability Research Group.