Abstract: Let C be a Riemann surface, x_1,...,x_n a set of points on C, and a_1,...,a_n integers adding up to 0. The theorem of Abel and Jacobi determines when C carries a meromorphic function wi...
Abstract: Quantum systems with short-range interactions at sufficiently low energy are characterized by a wavelength so large that the fine details of the interactions become irrelevant and most ...
Abstract: For a uniform magnetic field, we provide a decomposition of operators commuting with the associated magnetic translations. As an application, we rewrite the energy per unit surface for an el...
Abstract: I will discuss the existence of turbulent solutions to a quantum hydrodynamic (QHD) system, with periodic boundary conditions. A suitable nonlinear change of variables (the Madelung transfor...
Abstract: Metastability phenomena show up in the dynamical behavior of a large variety of complex real world systems. From a mathematical point of view the dynamics of such systems may be modeled by m...
Abstract: Secondo la filosofia della congettura di Green-Griffiths-Lang, ci si aspetta che l'esistenza e la distribuzione dei punti razionali per le varietà che sono uniformemente non-iperboliche...
Abstract: This talk provides an overview of my research interests which rely on the theoretical and computational aspects of optimal control problems, with a particular emphasis on the Hamilton-J...
Abstract: In this talk we will review some recent results on the Fröhlich polaron, which is a model for a charged particle coupled to a polarizable medium. We will especially focus on a conjecture due...
