Some inverse problems for elliptic PDE

This talk aims to give a brief introduction to certain inverse problems for PDE. We will more specifically discuss three types of inverse problems for elliptic PDE, which are inverse boundary problems and some inverse problems in scattering and spectral theory. This will include a discussion of some more specific research problems, which are the use of monotonicity based methods for Helmholtz type equations, magnetic potentials in inverse scattering and singular potentials in the multi dimensional Borg-Levinson problem.