Gauge Invariance with Mass: Higher Spins in Cosmological Spaces

I review recent work on massive higher (s>1) spins in constant curvature (deSitter) spaces. Some of the novel properties that emerge are: partial masslessness and new local gauge invariances, unitarily forbidden ranges of mass, correlation between fermions/bosons and nagative/positive cosmological constant Lambda and finally the consistency requirement that in the limit of infinite spin towers, Lambda must tend to zero.