Derivative links in contact topology

In this talk, I will discuss forthcoming joint work with Alex Zupan introducing the notion of a derivative link in contact topology. Given an algebraically slice knot, a derivative link is a basis for a metabolizing subspace of the Seifert form. We provide several characterizations of Lagrangian and symplectic sliceness in terms of derivative links and, as an application, prove special cases of two conjectures: one due to Cornwell–Ng–Sivek, and one we refer to as the slice-Bennequin sharpness quasipositivity conjecture.