September 16, 2014, Simon Marshall L^p bounds for Maass forms Abstract: A Maass form is a function on a locally symmetric Riemannian manifold that is an eigenfunction of both the Laplacian and an additional family of commuting operators. We will state the natural analogue for Maass forms of Sogge's bound for the L^p norms of a Laplace eigenfunction. We will then describe some ways in which this bound can be strengthened by combining methods from number theory and semiclassical analysis.