Research interests

• Nonlinear evolutionary problems (well-posedness, regularity, and asymptotic behaviour)
• Maximal Lp-regularity for linear parabolic problems
• Non-local PDEs, fractional evolution equations (regularity of weak solutions, Harnack inequalities)
• Kinetic equations (kinetic maximal regularity, De Giorgi-Nash-Moser estimates, Landau equation)
• Analysis and geometry on graphs, notions of discrete curvature, entropy method
• Mathematical models in biology
• Mathematical fluid dynamics
• Free boundary value problems (e.g. Stefan problem with surface tension)