research

Research in the Department

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.
-Anirban Banerjee

Nonlinear Analysis


Analysis of nonlinear differential forms, Pullback equations, Differential inclusions,
Nonconvex calculus of variations.
-Saugata Bandyopadhyay

Outlier Detection in High Dimension and Bayesian Modeling

Depth functions in high dimension, Gaussian process, MCMC simulation.
-Satyaki Mazumder

Reliability


Ordering and ageing of probability distributions, Weighted distributions, Order statistics and
records, Entropy, Replacement and maintenance.
-Asok Kumar Nanda

Computational Neuroscience


Signal processing, Pattern recognition, Visual perception and cognition, Brain-computer
interface.
-Koel Das

Functional Analysis


Homogeneous operators, Operator theory on functional Hilbert spaces, Interpolation of
operators, Noncommutative convexity, Metric fixed point theory.
-Sreeram Balasubramanian, Subrata Shyam Roy

Graph Theory


Spectrum of algebraic and normalized Laplacian matrix, Hypergraphs.
-Anirban Banerjee


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
-Shibananda Biswas


Several Complex Variables


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


Geometric Representation Theory of Unipotent Groups.


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


Numerical Analysis, Partial Differential Equations


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


Algebraic Topology


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


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


PDE


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


Number Theory


Number Theory
-Soumya Bhattacharya


Statistics


Functional and infinite dimensional data, Non-parametric and robust statistics, Stochastic processes, Data depth
-Anirvan Chakraborty

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