Our research primarily focuses on the field of differential equations, specifically the qualitative theory of ordinary differential equations. We are particularly interested in the study of dynamical systems in the plane. The problems we are currently or have previously been interested in include: the integrability problem (theories of Darboux, Lie, Painlevé), the center-focus problem and computation of Poincaré-Liapunov constants, the isochronicity problem, the reversibility problem, nilpotent and degenerate systems, bifurcations, the theory of limit cycles (Hilbert's 16th problem), Lie symmetries, differential equations in the complex projective plane, and more.