Control Theory, Hamilton-Jacobi-Bellman equations, viscosity solutions, nonsmooth analysis.

Elliptic equations: Nonlinear analysis and critical point theory, qualitative properties and symmetry of solutions, dynamical systems and KAM theory,
Liouville--type equations, Chern-Simons gauge theory.

Calculus of variations and geometric measure theory (Gamma-convergence, homogenization, Fracture Mechanics, Image processing, analysis on fractals).

Geometric evolution equations (Mean curvature flow, Ricci flow).

Parabolic equations (convection--diffusion models, thin film equation, forward--backward equations, gradient flows).

Seminars

Links (research sites and conferences)