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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
  • Non-linear Analysis
  • Fixed Point Theory and Applications
  • Complex Analysis
  • Harmonic Analysis

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

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.
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