Starting from the Weyl criterion for uniformly distrubuted sets of points, we introduce the discrepancy theory, focusing on some classical results by Roth, Davenport, Cassels and Montgomery. We conclu...
We present a numerical scheme for the solution of optimal control problems associated with production-destruction systems (PDS). We start by introducing these differential systems and their properties...
I shall consider elliptic problems addressing the study of the geometric properties of the solutions. This issue is in general related to the classification of the solutions or to Liouville type theor...
In the last years there has been a renewed interest around a long-standing conjecture by Griffiths characterizing which should be the positive characteristic forms for any Griffiths positive vector bu...
We are concerned with a generalization to the singular case of a result of C.C. Chen e C.S. Lin [Comm. An. Geom. 1998] for Liouville-type equations with rough potentials. The singular problem is actua...
The Kuramoto model is a nonlinear system of ODEs that represents the behavior of coupled oscillators. The coupling is determined by a given graph and pushes the system towards synchronization. An impo...
In this talk I will present some recent results on the Kirchhoff equation of nonlinear elasticity, describing transversal oscillations of strings and plates, with periodic boundary conditions. We are...
A singular modulus is the j-invariant of an elliptic curve with complex multiplication; as such the arithmetic and algebraic properties of these numbers are of great interest. In particular, there are...
Building on the introduction to spin geometry taught by Bernhard Hanke, I will use spinorial methods to investigate manifolds whose scalar curvature satisfies restrictions. Scalar curvature contains m...
Building on the introduction to spin geometry taught by Bernhard Hanke, I will use spinorial methods to investigate manifolds whose scalar curvature satisfies restrictions. Scalar curvature contains m...
