My research interests lie in the fields of Analysis and PDE and study of models in mathematical epidemioogy, biology, population dynamics and social sciences. More specifically, my works focus on:

• Elliptic and parabolic PDE

• Reaction-diffusion equations

• Integral equations and integro-differential systems

• Spectral theory for elliptic problems

• Models from mathematical biology: propagations of invasive species, lines with fast diffusion, climate change, ecological niche...

• Models from epidemiology: Kermack-McKendrick model, SIR models.