- Partial differential equations,
- Calculus of variations,
- Harmonic analysis,
- Probability theory,
- Algebraic geometry,
- Commutative algebra,
- Complex analysis,
- Algebraic topology,
- Combinatorics,
- Group theory,
- Continuum mechanics,
- Electromagnetic theory,
- Statistical Mechanics and Quantum mechanics,
- Dynamical systems and ergodic theory,
- Numerical methods for the solutions of large linear and nonlinear systems,
- Mathematical finance,
- Numerical models and methods for inverse problems and image processing,
- Mathematical neuroscience,
- Data analysis
Torna su