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
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Analysis
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Analysis
- Functional Analysis
- Non-linear Analysis
- Fixed Point Theory and Applications
- Complex Analysis
- Harmonic Analysis
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Current Research
- Operator equations
- Spectral approximations, condition spectrum
- Best proximity points
- Inverse and ill-posed 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
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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
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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
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Applied Probability and Operations Research
- Stochastic Models
- Optimization
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Current Research
- Birth and death processes
- Density dependent populations
- Perishable inventory systems
- Inventory management in supply chain
- Queuing networks
- Option pricing models
- Pharmaco kinetics
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Differential Equations and Applications
- Numerical Analysis of Differential Equations
- Dynamical Systems
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- Generalized Burgers equations: self similar and wave solutions
- Regularization of elliptic partial differential equations
- Newton like methods for differential equations and dynamical systems
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Discrete Mathematics and Theoretical Computer Science
- Graph Theory
- Algebraic Theory of Automata
- Combinatorial Optimization
- Approximate Algorithms
- Mathematical logic
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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
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Facilities
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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.
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