Although debris discs around main sequence stars are relatively well understood, very little is known about what happens to these systems as the star evolves. There are a growing number of observations of dust around evolved stars, including white dwarfs with dusty discs within the tidal radius of the star, as well as a handful of systems with at 10-100AU, similar to on the main sequence. In our group we have been considering the evolution of planetary systems (including their debris discs) beyond the main sequence, with a particular focus on explaining the observations.