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The research areas in Mathematics & Physics of faculty members at IIIT-B. at the Centre for Applied Sciences are briefly mentioned below.
Mathematics:
Faculty: Prof. Manisha Kulkarni, Prof. Sanghasri Mukhopadhyay
- Prof. Manisha's research 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 IIIT-B: 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?
- Prof. Sanghasri's research centers on the theoretical, numerical, and computational analysis of thin-film flows, with a particular focus on microfluidics and fluid-porous interactions. Current topics open for PhD research include the analysis of drop spreading and evaporation of complex liquids on porous substrates, the study of turbulence in thin-film flows, and the examination of stability in interfacial flows within confined geometries.
Physics:
Faculty: Prof. Balakrishnan Ashok, Prof. Shiva Kumar Malapaka
- Prof. Ashok's research in the Complex Systems & Soft Matter Physics (CSSMP) Lab covers nonlinear dynamics & complex systems, instabilities & synchronization in nonlinear systems (both physical and biological), Soft Condensed matter physics including complex fluids & macromolecular systems, Physics of living systems, Physics at small scales, Cavitation & bubble dynamics, earth system dynamics, modelling ecological systems, and aspects of quantum computation. Topics of interest include vesicular nanotubulation, polyelectrolyte solutions, combustion, models of sensory systems, dynamics of coupled neurons, precipitation phenomena, etc.
- Prof. Malapaka's 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 3D anelastic HD and MHD code.
Faculty members: