Faculty Research Areas

Name Research Areas
U.K. Anandavardhanan Number Theory: Automorphic Forms, Representation Theory of p-adic Groups.
Shripad M. Garge Algebraic Groups and Related Structures.
Ananthnarayan Hariharan Commutative Algebra
M.K. Keshari Commutative Algebra: Projective Modules
Tony J. Puthenpurakal Blowup Algebras, Hilbert Functions, Local Cohomology, D-modules, Invariant Theory, Complete Intersections, Asymptotic Associate Primes, Endomorphism Rings of Reflexive Modules.
Ravi Raghunathan Number theory: Automorphic Forms, L-Functions, Converse Theorems
Preeti Raman Algebra and Number Theory
J.K. Verma Commutative Algebra: Hilbert Functions, Blowup Algebras, Local Cohomology
R.V. Gurjar Algebraic Geometry, Commutative Algebra
R. Balasubramanian Number Theory
Madhusudan Manjunath Algebra
Name Research Areas
Ameer Athavale Functional Analysis
Bata Krishna Das Noncommutative Probability (specifically Quantum Probability), Operator Algebras and Operator Spaces as well as Multivariable Operator Theory.
Santanu Dey Multivariable Operator Theory, C* and von Neumann Algebras, and Noncommutative Probability, Operator Algebras
R.P. Kulkarni Numerical Functional Analysis, Approximate Solutions of Operator Equations and Eigenvalue Problems, Spline Theory
Prachi Mahajan Several Complex Variables
D.V. Pai Vector-valued Functions, Linear Spaces Optimal Recovery of Functions, Stability and Well-Posedness, Functional Analysis, Approximation Theory
Sourav Pal Operator Algebra, Operator Theory and Several Complex Variables
Sanjoy Pusti Harmonic analysis on Lie groups, Special functions associated with root systems
I.K. Rana Real Analysis, Mean Periodic Functions, Generalized Integrals, Technology and Visualizations in Math Education
Name Research Areas
Niranjan Balachandran Combinatorics
Sharad S. Sane Combinatorics and Design Theory
S. Sivaramakrishnan Combinatorics
Murali K. Srinivasan Combinatorics
Srikanth Srinivasan Theoretical Computer Science, Combinatorics
Name Research Areas
Saurav Bhaumik Algebraic Geometry, Algebraic Stacks, étale Cohomology, Intersection Theory, Families of Quadratic Forms, Higgs Bundles, and Geometric Langlands Correspondence
S.R. Ghorpade Schubert Varieties, Linear Codes, Varieties over Finite Fields, Algebraic Geometry and Combinatorics
Swapneel Mahajan Coxeter groups, Hopf Algebras, Operads
A. Ranjan Differential Geometry, Harmonic Manifolds
Rekha Santhanam Algebraic Topology; Homotopy Theory and Topological Combinatorics
Sandip Singh Arithmetic Groups, Lie Groups, Thin Groups
A.R. Shastri Algebraic & Differential Topology, Algebraic Geometry, Topology of Matrix Varieties.
Sudarshan R. Gurjar Algebraic Geometry
Ronnie Sebastian Algebraic Cycles, Moduli Spaces, Special Values of L-Functions
Mahan Mj. Geometric Group Theory
Name Research Areas
S. Baskar Hyperbolic Conservation Laws, Computational Fluid Dynamics, Nonlinear Waves
N. Nataraj Numerical Analysis, Finite Element Methods, Finite Volume Methods, Optimal Control Problems.
V.D. Sharma Hyperbolic Systems of Quasilinear Partial Differential Equations, Non-Linear Waves
G.K. Srinivasan Partial Differential Equations, Special functions and Orthogonal polynomials
A.K. Pani Finite Element Methods, Partial Integro-Differential Equations, Visco-Elastic Fluid-Flow Problems
Sivaji Ganesh Sista Partial Differential Equations, Homogenization
Muthusamy Vanninathan Homogenization of Partial Differential Equations, Control Theory
Name Research Areas
Ashish Das Design of Experiments
R.R. Joshi Statistical Data Mining, Computational Biology, Biostatistics, Bioinformatics, Probabilistic Optimization Problems in Molecular Biology
Siuli Mukhopadhyay Design of Experiments, Generalized Linear Models, Disease Surveillance
S.V. Sabnis Reliability Theory, Industrial Statistics, Construction of Reliability Rest Plans
Koushik Saha Random matrices, Extreme value theory, Free Probability and Statistics
Radhendushka Srivastava Time Series Analysis, Non Parametric Regression, High Dimensional Data
A. Subramanyam Geostatistics, Modelling Bivariate Distributions, Statistical Inference
K. Suresh Kumar Risk-Sensitive Control Theory, Stochastic Control, Mathematical Finance, Stochastic Differential Game Theory
P. Vellaisamy Statistical Inference, Applied Probability, Probability Approximations, Fractional Stochastic Process