• Optical and wave physics, focused on the geometric and topological structures formed by interference, diffraction and polarization. • Theoretical physics, especially relativistic field theory. • Knot Theory, and physical realizations. • Mathematical Methods of Physics, mainly based on geometric, linear or analytic techniques.
I have given interviews about my own research and that of others, from knotted light beams and invisibility cloaks to the possibility of Viking navigation using the polarization of the sky.