Explore a 31-minute conference talk on simulating binaries in thin disks, presented by Chris Tiede from NYU at the Kavli Institute for Theoretical Physics. Delve into the complexities of binary systems, from stellar pairs to supermassive black holes in galactic nuclei, and their interactions with surrounding circumbinary gas. Examine the evolution and influence of this gas on embedded binaries, potential observational signatures, and innovative numerical techniques for improved modeling. Part of the "Building Bridges: Towards a Unified Picture of Stellar and Black Hole Binary Accretion and Evolution" conference, this presentation bridges the gap between massive black hole binary and stellar binary research communities, highlighting similarities across varied astrophysical scales and identifying crucial next steps in advancing our understanding of these systems.