Bachelor's thesis presentation by Teodoras Paura and Stefan Volnitchi with the title "Spectral Analysis of Sturm-Liouville Operators with Dirac-Delta Perturbations".

The project studies spectral properties of Sturm-Liouville operators perturbed by a delta function potential. Such problems arise, for example, as idealized models of highly localized potentials in quantum mechanics and can be described as Hamiltonians with interactions supported on isolated points. The thesis will present a comprehensive analysis of the model, including construction of the Green function, description the spectrum, and a study of zeros of the eigenfunctions.