Unbounded solutions to mean curvature flow Oliver Schnuerer (Konstanz) We discuss several aspects of complete noncompact solutions to graphical mean curvature flow in Euclidean space in codimension one: 1) different variants of stability and instability and 2) beauty and the beast in mean curvature flow without singularities corresponding to nice and pathological solutions that are graphical over proper subsets of Euclidean space.