Areas of Research
Alegbra
 Applied Algebra
 Fuzzy Algebra
 Commutative Algebra
 Algebraic Geometry
 Toric Topology
Current Research
 Bi algebraic structures
 Hamming codes
 Fibre cones, graded rings, Betti numbers
 Moduli spaces, Azumaya algebras and desingularization
 Toric bundles and toric varieties


Analysis
Analysis
 Functional Analysis
 Nonlinear Analysis
 Fixed Point Theory and Applications
 Complex Analysis
 Harmonic Analysis


Current Research
 Operator equations
 Spectral approximations, condition spectrum
 Best proximity points
 Inverse and illposed problems
 Linear complimentarity problems
 Geometric function theory, harmonic and quasiconformal mappings
 Generalized inverses of matrices and operators
 Multipliers and sampling theorems in the context of Hiesenberg groups


Applied Mathematics and Mathematical Physics
 Fluid Mechanics and Solid Mechanics
 Computational Fluid Dynamics
 Mathematical Modeling and Simulation
 Applications of Wavelets: Image and Signal Processing
 Fractals


Current Research
 Grid free and point set methods
 Dynamics of thin films
 Convective heat and mass transfer
 Ship hydrodynamics
 Numerical schemes for viscous incompressible flows
 Casimir effect
 Fractal interpolation functions


Applied Probability and Operations Research
 Stochastic Models
 Optimization

Current Research
 Birth and death processes
 Density dependent populations
 Perishable inventory systems
 Inventory management in supply chain
 Queuing networks
 Option pricing models
 Pharmaco kinetics


Differential Equations and Applications
 Numerical Analysis of Differential Equations
 Dynamical Systems

 Generalized Burgers equations: self similar and wave solutions
 Regularization of elliptic partial differential equations
 Newton like methods for differential equations and dynamical systems

Discrete Mathematics and Theoretical Computer Science
 Graph Theory
 Algebraic Theory of Automata
 Combinatorial Optimization
 Approximate Algorithms
 Mathematical logic


Current Research
 Optimal embedding of trees in hypercubes
 Chromatic bounds
 Splicing systems in natural computing
 Quantum computing
 Algorithmic complexity of coverings and matchings
 Regularization methods for image processing
 Mathematical learning theory


Facilities
Department is equipped with the state of the art computer laboratories catering to the teaching and research requirements of the faculty and students. The facilities include
 Windows and Unix based systems for teaching and development of codes.
 Itanium2 based HP rx 2600 two way with two CPU populated server for high performance computing.
 Sun blade 100 workstation for computing and visualization.
 Network license to application softwares like Matlab, Mathematica and Fluent.
