Neutrino Mass in Cosmology: Status and Prospects

I give an overview of the effects of neutrino masses in cosmology, focusing on the role they play in the evolution of cosmological perturbations. I discuss how recent observations of the cosmic microwave background anisotropies and the large-scale matter distribution can probe neutrino masses with greater precision than current laboratory experiments. I describe several new techniques that will be used to probe cosmology in the future, as well as recent advances in the computation of the nonlinear matter-power spectrum and related observables.