Research

I am broadly interested in the field of optimization and numerical scientific computing. Some of the research topics I currently or would like to pursue are PDE and DAE-constrained Optimization, surrogate and reduced-order modeling, advanced numerical algorithms for non-linear programming(NLP). I am also interested in working on optimization algorithms for machine learning models based on black-box optimization techniques. I have also worked with variational inequalities and equilibrium constraints problems as part of my PhD project. MPECs and MPCCs are still an open problem in the literature and something i wish to explore further.