I am interested in understanding and predict, by means of symmetry arguments and first-principles techniques, effects originating from the cross-coupling of magnetic and electric degrees of freedom in multiferroic materials. An example of such phenomena is the magnetoelectric effect, whereby an external electric field induces a net magnetization proportional to the field itself, or vice versa an external magnetic field induces a net electrostatic polarization. Recently I have become interested in magneto-optic effects, another class of phenomena related to the magnetic-electric cross-coupling, which include the Kerr effect and Faraday rotation. One goal of my research is to develop first-principles techniques, mainly based on Density Functional Theory, to compute the linear and higher-order responses that are responsible for the aforementioned effects, and to compute them in realistic materials.