The research at IIITB in Chemistry, Mathematics and Physics are given here.
In CHEMISTRY, the research at IIITB primarily is in the area of electronic structure calculations. Particularly, weak interactions (pi-pi, CH-pi etc.) present in various systems (small model systems, protein-ligand systems, DNA bases, nanotubes etc.) are investigated using quantum chemical methods (HF, MP2, CCSD(T) & DFT). Additionally, the work entails unravelling the role of such weak interactions in the field of drug-design, polymers, nano-devices and in new materials. Some of the recent research works show that pi-pi and CH-pi interactions are invariably present in the crystal structures of bio-molecules and play important role in their structure as well as functions.
Research in MATHEMATICS is principally in the area of Number Theory; in particular, Algebraic Number Theory, Galois Representations, Modular Forms, Iwasawa Theory, Diophantine Equations, Galois Module structure and Elliptic curves. Research is also conducted in the fields of Algebraic Complexity Theory and Cryptography. The following two problems are representative of the mathematics research in IIITB: Let E be an elliptic curve over number field K. For every prime P where E has good reduction at P, we get one imaginary quadratic field associated to E. We are trying to see if we can get all imaginary quadratic fields by this procedure?
In PHYSICS, there are two sub-domains of research focus at IIITB: (a) One sub-domain of research focus is on soft condensed matter physics, complex systems & dynamical systems theory, instabilities & synchronization in nonlinear systems (both physical and biological), and macromolecular systems. Topics include bubble dynamics & cavitation, vesicular nanotubulation, polyelectrolytic solutions, combustion, phase transitions in computationally hard problems, models of sensory systems, precipitation phenomena, etc.; (b) The other sub-domain of physics research is in computational fluid mechanics, especially simulations & modeling of hydrodynamic and magnetohydrodynamic turbulent flows, reduced resistive MHD simulations, low resolution simulations of 3D-HD and MHD turbulent flows including rotation & helical forcing and 3Danelastic HD and MHD code.