The crepant resolution conjecture for Donaldson-Thomas (DT) invariants is a conjecture in enumerative geometry originating from string theory. It relates the DT generating series of a certain type of three-dimensional Calabi-Yau orbifold to that of a crepant resolution of its coarse moduli space; this setting is a global version of the McKay correspondence. We discuss joint work with John Calabrese and Jørgen Vold Rennemo in which we interpret the conjecture as an equality of rational functions, and prove it using wall-crossing methods.