Coronal null points are locations where the magnetic field, and hence the local Alfven speed, is zero. The behaviours of all three MHD wave modes, i.e. fast and slow magnetoacoustic waves and the Alfven wave, have been investigated in the neighbourhood of 2D, 2.5D and (to a certain extent) 3D magnetic null points, for a variety of assumptions, configurations and geometries. These studies contribute to our understanding of MHD wave propagation in inhomogeneous media, and this talk will detail some specific findings in this area, in particular the results that have led to critical insights into mode-coupling, mode-conversion, reconnection, and quasi-periodic pulsations.