Main lines of research are:
Functional analysis | Differential Geometry | Differential Equations and Numerical Analysis | Statistics and Operational Research | Algebra | |
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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 |