Laboratory Director

ECHARGHAOUI Rachid

Laboratory Description

The Analysis, Geometry and Applications laboratory is dedicated to the in-depth study of fundamental mathematical concepts and their practical applications. Researchers explore the properties of mathematical structures such as vector spaces and manifolds, as well as their implications in various scientific and technological fields. Through analytical and geometric approaches, the laboratory aims to solve complex problems and develop new mathematical methods and theories, with potential applications in physics, computer science, and other disciplines.

Research Axes

• Functional and Harmonic Analysis: Study of the properties of functions and transformations, with a particular focus on Hilbert spaces and Fourier series.
• Differential Geometry and Topology: Exploration of the geometric structures of manifolds and curved spaces, as well as the topological properties of surfaces and spaces.
• Partial Differential Equations: Research on the solutions of complex equations that model physical, biological, or economic phenomena.