This is a workshop designed to survey and bring together the diverse mathematical approaches to the subject of long range aperiodic order. Lectures will cover gometric, arithmetic, algebraic, analytic, topological, combinatorial, stochastic, and physical aspects of the suject including quasicrystals, non-crystallographic symmetry, space filling tilings, diffraction and Fourier analysis, the frontier between order and disorder, automatic sequences, minimal surfaces and random walks.