Topics for session ([I] Aspects of Mathematics and its Applications)

Dynamical systems and Differential Equations
 

Computational and experimental research on continuous/discontinuous dynamical systems. Sliding motion, Filippov systems and control, bifurcations and singularities. Hamiltonian systems and dynamical systems of geometric origin, Strange attractors and chaotic dynamics, biological systems, neuroscience, climate modeling, data assimilation, engineering applications, networks, Infinite dimensional dynamical systems and PDE, and pattern formation.

Algebra
 

Hopf algebras. Homotopy theory and homological algebra. Algebraic Ktheory, Category theory. Groups (finite, infinite, algebraic) and their representations. Rings and module theory. Computational aspect of algebra and applications.

Geometry
 

Methods of Local and Global Differential Geometry. Non-linear and fully non-linear geometric PDE. Geometric flows. Geometric structures on manifolds. Symplectic, Riemannian and metric geometry. Geometric aspects of group theory. Conformal geometry, discrete and distance geometry General Relativity.

Topology
 

General topology, Algebraic topology, Geometric topology, Point-free topology, Domain theory, Fuzzy topology, Differential topology and topological dynamics, geometric and network topology, low-dimensional manifolds including knot theory and connections with Kleinian groups, Topological quantum field theories.

Analysis and its Applications
 

Linear and non-linear functional analysis. Classical analysis. Real and Complex analysis in one and several variables, potential theory, Harmonic analysis., operator algebras, Banach algebras, Banach spaces. Metric geometry and applications. Geometric measure theory.

Mathematical Physics
 

Quantum mechanics. Quantum field theory including gauge theories. General relativity. Statistical mechanics and random media. Integrable systems. Supersymmetric theories. String theory. Fluid dynamics.

Probability and Statistics
 

Stochastic processes, Interacting particle systems, Random media, Random matrices, Stochastic networks, Stochastic geometry, Statistical inference, High-dimensional data analysis, Spatial methods.

Computer Science, Software Modeling and Information Technology
 

Image Processing, Databases, Intelligent Manufacturing Inspection, Complexity theory and design and analysis of algorithms. Formal languages. Computational learning. Algorithmic game theory. Cryptography. Coding theory. Semantics and verification of programs. Symbolic computation. Quantum computing. Computational geometry, computer vision.

Numerical Analysis and Scientific Computing
 

Design of numerical algorithms and analysis of their accuracy, stability, and complexity. Approximation theory. Applied and computational aspects of harmonic analysis. Numerical solution of algebraic, functional, stochastic, differential, and integral equations. Grid generation and adaptivity.

Control Theory and Optimization
 

Minimization problems. Controllability, observability, stability. Robotics. Stochastic systems and control. Optimal control. Optimal design, shape design. Linear, non-linear, integer, and stochastic programming. Applications.

Bio-Mathematics
 

Modelling of Biological and Biomedical systems, Population Dynamics, Mathematical Biology, Bio-Informatics.

Young Scientist Excellence Award


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About Hurghada

Hurghada was founded in the early 20th century, and until a few years ago, remained a small fishing village. But today, it has gone on to become the foremost tourist resort of the Red Sea coast and an international center for aquatic sports

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