Main lines of research are:
Functional analysis | Differential Geometry | Differential Equations and Numerical Analysis | Statistics and Operational Research | Algebra |
| Banach space geometry and operator theory | Geometric Analysis (problems associated with the mean curvature, conformal and complex geometry, geometric flows) | Non-local PDE for particle systems: analysis and accelerated numerical simulation | Gaussian random fields and Gamma correlated | Semigroups |
| | Semi-Riemannian Geometry and Relativity | Variational Methods and Elliptical PDE of Mathematical Physics | Stochastic modeling of tumor growth | Coding Theory and Cryptography |
| | Global Geometry of Surfaces and Associated Nonlinear Equations | Orthogonal polynomials | Web surveys and smartphones | |
| | | | Dynamics of complex systems | |
| | | | Functional data analysis | |
