- Numerical Methods for Partial Differential Equations
- Polygonal and polyhedral methods (Discontinuous Galerkin, Virtual Element and Mimetic Finite Difference methods)
- Mathematical and numerical modeling of neurodegenerative disorders (Project BraiNum: Numerical modelling of the Human Brain: from physiology to neurodegenerative diseases)
- Seismic wave propagation problems (Project SPEED: SPectral Elements in Elastodynamics with Discontinuous Galerkin)
- Domain Decomposition and Multigrid Methods
- Flows in fractured porous media
- Mathematical and numerical modeling of polymer manufacturing technology