Title: Black hole inspirals embedded in accretion disks (Can LISA probe migration?) Abstract: The coalescence of a compact object into a supermassive black hole emits gravitational waves (GWs) which in a particular frequency range will be detectable by the space-based interferometer LISA. A fraction of these events may occur in the accretion disks of active galactic nuclei, where torques exerted by the gas can alter the inspiral and subsequent GW phase evolution. I will present a suite of two-dimensional simulations with the hydrodynamical moving-mesh code DISCO of an isothermal, viscous disk with an embedded inspiralling BH, focusing on the case of intermediate mass ratio inspirals. The measured torques exerted by the gas (analogous to planetary migration torques) are different from previous analytical estimates in their strength, direction, and temporal evolution, all of which are sensitive to the BH mass and the disk parameters. Over thousands of orbits, interaction with the gas disk imparts a phase drift (a 'gas imprint') in the GW waveform, which - if detectable by LISA - can carry information on AGN disk properties. I will discuss how gas torques evolve throughout an inspiral and how they vary with simulation parameters, followed by estimates of detectability and some critical next steps.