The remarkable tunability of twisted heterostructures of graphene or transition-metal dichalcogenides has opened new avenues for realizing unconventional correlated phases which rely on the formation of flat bands due to the moiré superlattice. This talk will describe routes for leveraging the twist angle as a broader paradigm, to quench kinetic energy scales and selectively tune the roles of competing interactions, spin orbit coupling and frustration, leading to diverse effects such as the emergence of moiré Kagome lattices and fractional Chern insulators in twisted bilayers of the group-IV TMD ZrS₂, or hour-glass fermions in twisted SnS bilayers. I will then discuss how THz radiation can directly couple to the shape and center of Wannier functions that govern electron dynamics in moiré heterostructures, granting a new quantum-geometric handle to steer and probe correlated phases.