• Partial Differential Equations of Elliptic and Parabolic Type; Degenerate and Singular Equations; Local and Global Behaviour of Solutions; Harnack-Type Estimates; Calculus of Variations; Quasi-Minima; Potential Theory; Phase Transition; Free Boundary Problems; Fluid Dynamics; Conduction-Convection; Navier Stokes Equations; Motion in Porous Media; Ill-Posed Problems; Thin Film Dynamics; Classical Mechanics.
• Mathematical Biology; Signal Transduction; Biophysics of Motion of Second Messengers; Cell Cycle; Complexity in Endothelial Cell Signaling; Mathematical Homogenization and Concentrated Capacity in Visual Transduction;