Chaudhry’s research is in the design and analysis of numerical methods for PDEs. In particular, his research focuses on adjoint based a posteriori error estimation, Parallel-in-Time integration, Uncertainty Quantification, Reduced Order Modeling, Least-Squares Finite Element Methods and design and analysis of adaptive numerical methods for continuum biomolecular electrostatics. His recent research highlights include analysis of two stage methods, analysis of Parareal algorithm, analysis of IMEX schemes, analysis of multi-discretization for coupled PDEs, analysis of iterative solution techniques and uncertainty quantification for PDEs posed on stochastic domains.