Title: The Crepant Transformation Conjecture For Toric Stack Bundles Abstract: In this talk I will introduce a proof of Coates-Corti-Iritani-Tseng-Ruan version of the Crepant Transformation Conjecture for toric stack bundles. We follow Givental's approach to transform this problem into finding a linear symplectic isomorphism between the corresponding symplectic spaces so the I-functions coincide after analytic continuation. We also compare it with the Fourier-Mukai transformation between the K-groups to show they match up.