I am currently working in the area of Analysis and development of Hyperbolic Conservation Laws. Hyperbolic conservation laws deeply demonstrate the essence of sophisticated physical phenomena. A major difficulty in this regard is that discontinuities may appear in the solution of nonlinear hyperbolic conservation laws even though the initial data is very smooth.  My current project of study is the analysis of certain initial and boundary value problems for the different classes of one and more dimensional hyperbolic conservation laws describing physical phenomena such as thin film flows, gas flows, traffic flows, and several other conservative systems. In particular, I have worked on developing solutions to several initial and boundary value problems for sonic-supersonic patches occurring frequently in the transonic flows and gas expansion problems through a sharp corner for multi-dimensional potential flow equations. I have also analyzed some purely hyperbolic multi-dimensional systems while studying their nonlinear wave interactions. I am also interested in analyzing the multi-phase counterparts of the above systems which involve a higher number of primitive variables and describe the physics of the problems in a more realistic manner. Currently, I am working on developing numerical schemes and analyzing their theoretical aspects in the context of conservation laws and also learning the tools of Data-driven modelling and control problems from the viewpoint of conservation laws. In future, I would like to study the turbulence models and would try to develop numerical schemes for such complicated models.