Chemistry: Heterogeneous catalysis mainly focused on synthesis, modification and application of functionalized porous materials; Nanoparticles, Materials chemistry, Bio-diesel production, CO2 sequestration and utilisation. Coordination Chemistry, in particular Molecular Magnetism, Biological activity of the complexes, Photoluminescence studies, Catalysis studies

Mathematics: Representation Theory, Algebraic Number Theory, Fuzzy set Theory & Fuzzy Logic, Optimization, Banach Algebras, Operator Algebras, Harmonic Analysis on Weighted Semi-groups, Partial Differential Equations, Finite Element Methods, Dynamical Systems, Diophantine Approximation.

Physics: Molecular spectroscopy of soft-material and their applications, Functionalized Nano-structures and their application as sensor, Ionic liquids in energy applications, Renewable energy materials and energy storage, Magnetism and magnetic materials, Superconductivity, Multiferroics, Theoretical High Energy Physics, Astrophysics and Cosmology.