Two-dimensional transition metal dichalcogenides (TMDs) have emerged as an exciting platform to stack and twist bilayers to engineer novel strongly correlated states that include continuous Mott transitions, heavy fermi liquids, fractional anomalous Hall states, and (putative) topological superconductivity. First, we present a theory to describe the recent realization of a heavy fermion state in stacked MoTe2/WSe2 bilayers that dope the Mott insulator to a filling of n=1+x. The spin polaron regime at low filling (x<<1) will be presented as well as at filling n=2 where we predict a topological Kondo insulator. Second, we present a theory to describe the two recent experiments that observed superconductivity in twisted WSe2 at 3.65 and 5 degrees. The role of the twist angle, electron correlations, and competing instabilities on the phase diagram of twisted WSe2 will be discussed.