The Department of Mathematics & Statistics at IISER Kolkata has a diverse mix of faculty members actively involved in research. Faculty research interests encompass a wide spectrum of areas. Research groups engaged in core areas of mathematics coexist with groups working in applied mathematics and statistics, to create a synergistic research approach in order to understand problems that lie at the juncture of several disciplines. The collective knowledge helps in providing a perspective to promote the interdisciplinary use of mathematics and statistics across various areas of science and engineering. Some of the thrust areas of research in the department are as follows:
Complex Biological Networks
Structure and evolution of biological networks, Structural changes in human brain
functional networks in ageing.
Analysis of nonlinear differential forms, Pullback equations, Differential inclusions,
Nonconvex calculus of variations.
Depth functions in high dimension, Gaussian process, MCMC simulation.
Ordering and ageing of probability distributions, Weighted distributions, Order statistics and
records, Entropy, Replacement and maintenance.
-Asok Kumar Nanda
Signal processing, Pattern recognition, Visual perception and cognition, Brain-computer
Homogeneous operators, Operator theory on functional Hilbert spaces, Interpolation of
operators, Noncommutative convexity, Metric fixed point theory.
-Sreeram Balasubramanian, Subrata Shyam Roy
Spectrum of algebraic and normalized Laplacian matrix, Hypergraphs.
Operator Theory on Function Spaces
Specifically study of reproducing kernel Hilbert Modules and its classification using the tools of complex analytic/algebraic geometry, Multivariable operator theory, Non-commutative function theory
Several Complex Variables
Several complex variables, approximation theory using complex analytic techniques, Nevanlinna-Pick type interpolations
Geometric Representation Theory of Unipotent Groups.
Geometric representation theory of unipotent groups Character sheaves, orbit method, quantization problems
Numerical Analysis, Partial Differential Equations
Hyperbolic Conservation Laws, Nonlinear Dispersive Equations, Numerical Analysis of PDE, Linear and Nonlinear Partial Differential Equations
String topology (algebraic and geometric structures on loop spaces), Rational homotopy theory and invariants of manifolds, Enumeration of curves and singularities, Groups acting on manifolds
Linear and Nonlinear Partial Differential Equations, Fluid Mechanics, Compressible Navier-Stokes equations, Control of PDE
Functional and infinite dimensional data, Non-parametric and robust statistics, Stochastic processes, Data depth