Research Interests

My research focuses on problems related to algebraic (nonlinear) differential equations within the framework of differential Galois theory and algebraic geometry, with the goal of understanding their solvability, integrability, and the algebraic relations among their solutions. From a model-theoretic perspective, my research examines notions such as internality and orthogonality for differential equations, with the aim of understanding the relationships between solutions and constants and, more broadly, contributing to the classification of algebraic differential equations. My work also includes questions concerning the integration in (finite) terms of special functions that arise as solutions of differential equations. Recently, I have been exploring mathematical physics and its connections with differential Galois theory, and I have done some work on the integrability of parametric oscillators and Ermakov–Pinney equations.