In this talk, I will present some results that the late Nick Baeth and I proved about tensor products of [your favorite adjective here] semigroups. I will also outline Nick’s grand vision and our intended future directions for those interested in carrying on in Nick’s footsteps. Our journey start with the results on tensor products due to Fulp, Grillet, and Head from the 1960s (groovy!) and maybe ends with… you?!