In this talk I'll explain how knot Floer homology detects whether the monodromy of a fibered knot is right-veering. This gives a purely Floer-theoretic characterization of tight contact structures, and has applications to Dehn surgery and taut foliations. Our proof uses a relationship between Heegaard Floer homology and the dynamics of surface diffeomorphisms. This is based on joint work with Yi Ni and Steven Sivek.