Abstract: Over the past decade we have witnessed the emergence of a plethora of correspondences between QFTs in various dimensions arising from higher dimensional SCFTs. In this talk I will overview another strategy (well-known to experts) to obtain correspondences building upon geometric engineering techniques. Several new applications and examples will be presented, involving supersymmetric theories in different dimensions. In particular, we will include some results about the higher Donaldson-Thomas theory for Calabi-Yau three-folds, generalizations of level/rank dualities, and an algebra organizing G(2) instantons.