I want to set a course toward understanding Perelman's proof of the Geometrization Conjecture. I realize this will be a lengthy undertaking, but hopefully only on the order of one to two years.
I am currently studying John Lee's Introduction to Smooth Manifolds and Steven Weintraub's Fundamentals of Algebraic Topology. I will be taking a graduate course on 4-manifolds next semester.
Could you please suggest (1) which subject areas I should study toward this eventual goal and (2) any texts you particularly like?