I work in the field of symplectic topology. I am particularly interested in Floer-homological spectral invariants, which arise in the context of Hamiltonian and Lagrangian Floer homology and in Legendrian contact homology. Their applications branch into function theory on symplectic manifolds, including symplectic quasi-states, symplectic and contact rigidity, orderability of contact manifolds, and the geometry of the Hamiltonian and contactomorphism groups.