Prof. Mukherjee's research interest are on the topics of high energy astrophysics and simulations of astrophysical fluids over a broad range of scenarios. A strong emphasis is placed on developing numerical modules to be used in large scale simulations and comparison with observational data. Some of the current topics of active research are: a) Galaxy evolution over cosmic time and the impact of AGN and stellar feedback on star formation. Impact of feedback processes on the properties of interstellar and circumgalactic media such as turbulence, metallicity and multi-phase gas distribution. b) Physics of relativistic jets from blackholes of all scales and their emission mechanisms. c) Physics of compact objects and the evolution of neutron star magnetic field. e) Accretion processes in compact objects and their observable signatures.