|  Functional Analysis, Nonlinear Functional Analysis. |
| Ordinary and Partial Differential Equations. |
| Integral Equations. |
| Numerical Analysis: Numerical solution of ordinary and partial differential equations and numerical solution of problems in optimization and control. |
| Probability theory, Statistics and Stochastic processes. |
| Differential Geometry. |
| Mathematics Logic and theoretical computer science. |
| Harmonic Analysis. |
| Applied Linear Algebra. |
| Mathematical methods in Physics, Lie groups. |
| Mathematical Systems' Theory. |
| History and Epistemology of Mathematics. |
