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:

Structure and evolution of biological networks, Structural changes in human brain

functional networks in ageing.

-Anirban Banerjee

Analysis of nonlinear differential forms, Pullback equations, Differential inclusions,

Nonconvex calculus of variations.

-Saugata Bandyopadhyay

Depth functions in high dimension, Gaussian process, MCMC simulation.

-Satyaki Mazumder

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

interface.

-Koel Das

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.

-Anirban Banerjee

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

-Shibananda Biswas

Several complex variables, approximation theory using complex analytic techniques, Nevanlinna-Pick type interpolations

-Sushil Gorai

Geometric representation theory of unipotent groups Character sheaves, orbit method, quantization problems

-Swarnendu Datta

Hyperbolic Conservation Laws, Nonlinear Dispersive Equations, Numerical Analysis of PDE, Linear and Nonlinear Partial Differential Equations

-Rajib Dutta

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

-Somnath Basu

Wavelet Analysis, Wavelets in Signal Processing, Wavelets Methods for Solving Partial, Differential Equations, Tensor Computation

-Ratikanta Behera

Linear and Nonlinear Partial Differential Equations, Fluid Mechanics, Compressible Navier-Stokes equations, Control of PDE

-Shirshendu Chowdhury

Motivic homotopy theory and the theory of motives and its applications

-Utsav Choudhury