Introduction to Geometric and Algebraic Algorithms for Nonlinear PDE Gregory Reid Centre for Experimental and Constructive Mathematics Simon Fraser University Vancouver, Canada email: reid@cecm.sfu.ca In this talk I give an introduction to geometric, formal and algebraic algorithms for nonlinear PDE. There will be some discussion of the tremendous recent progress in this area. Applications to constrained differential systems, and symmetries of PDE will also be discussed. There will be graphics and computer demonstrations.