Department Profile
ALGEBRA
Ø Commutative
Algebra
Ø Algebraic
Combinatorics
Ø Geometry and
Topology of Toric Varieties
Ø Group Theory

Ø Fuzzy Algebra
Ø Linear
Algebra
Ø Algebraic
Geometry
Ø Applications
of Algebra

Current
Research Interests
The focus of
research is in the areas of applied algebra, algebraic geometry,
commutative algebra, semigroups and fuzzy algebra. More specifically,
azumaya algebras and their degenerations, theory of moduli and bialgebraic
structures are being studied.

ANALYSIS
Ø Functional
Analysis
Ø Numerical
Analysis
Ø Complex
Analysis
Ø Functional
Spaces
Ø Special
Functions
Ø Operator
Equations
Ø Inverse and
Illposed Problems
Ø Harmonic
Analysis
Ø Wavelets
Ø Mathematical
Programming
Ø Game Theory

Ø Conformal
Geometry
Ø Fixed Point
Theory and Applications
Ø Fuzzy Set
Theory and Analysis
Ø Functional
Equations
Ø Summability
Theory
Ø Spectral
Approximation
Ø Nonsmooth
Analysis
Ø Optimization
Theory
Ø Sampling
Theory
Ø Approximation
Theory
Ø Control
Theory

Current Research
Interests
Complex analysis,
functional analysis, harmonic analysis, nonlinear analysis, nonsmooth
analysis, control theory and optimization theory are the areas studied by
the faculty of this group. Topics of research are: approximate solutions of
operator equations, inverse and illposed problems, generalized inverses
and applications, quasi conformal mappings, generalized Newton methods and
applications, optimal best proximity pair solutions, iterative functional
equations, nonsmooth optimization, fuzzy set theory and applications,
fractals, fractal interpolation functions, semidefinite linear
complementary problems. Wavelets and their applications

APPLIED
MATHEMATICS
Ø
Numerical PDE
Ø
Convective
Head and Mass Transfer
Ø
Computational
Fluid Dynamics
Ø
Ship
Hydrodynamics
Ø
Mathematical
Problems related to Naval Architecture and Ocean Engineering

ØMathematical
Modeling
Ø
Nonlinear
Differential Equations
Ø
Fluid
Mechanics
Ø
BioFluid
Mechanics
Ø
Integral and
Differential Equations
Ø
Water Waves

Current
Research Interests
Members
of this group work on the applications of variational principles, biofluid
mechanics, convective heat and mass transfer, computational fluid dynamics,
modeling and simulation and ship hydrodynamics. Topics of specific interest
include anomalies in quantum theory, Lattice Boltzmann method, higher order
semicompact schemes for viscous incompressible flows, instabilities in
thin film systems, regularization techniques for PDE’s, applied
integral equations and water waves and wave structure interactions.
Calculation of the Casimir energy density in flat and curved spaces, trace
anomalies with Dirichlet boundary conditions.

APPLIED
PROBABILITY AND STOCHASTIC PROCESSES
Ø Applied
Probability and Stochastic Processes
Ø Operations
Research

Ø Stochastic
Models
Ø Mathematical
Ecology

Current
Research Interests
Research is focused on applied
probability and stochastic models, operations research and theory of fuzzy sets,
communication network problems, option pricing models, queuing models and
stochastic inventory problems.

THEORETICAL
COMPUTER SCIENCE AND DISCRETE MATHEMATICS
Ø
Theoretical
Computer Science
Ø
Graph Theory
Ø
Combinatorics
Ø
DNA Computing
Ø
Theory of Codes
Ø
Combinatorial
Optimization

Ø
Discrete
Mathematics
Ø
Formal
Language
Ø
Automata
Theory
Ø
Modular
Computing
Ø
Approximation
Algorithms

Current
Research Interests
Graph theory, algebraic theory of automata, combinatorial optimization,
approximate algorithms and mathematical logic are the areas in which
research is undertaken by this group. Knowledge compilation, discrete optimization
problems of interconnection networks of multiprocessor systems and
unconventional methods of computation are among the topics of special
investigation.

