- Analysis of Diffuse Interface Models
- Computer Assisted Proofs in PDEs
- Control Theory
- Evolution Equations and Dynamical Systems
- Free Boundary Problems
- Game Theory and Convex Optimization
- Geometric Analysis and Riemannian geometry
- Inverse Problems for Partial Differential Equations
- Mathematical Models for Suspension Bridges
- Noncommutative Analysis
- Nonlinear Diffusions
- Nonlinear Elliptic PDEs and Degenerate Equations
- Shape Optimization