The Galaxy-Halo Connection Across Cosmic Time: Constraints and Implications

Recent observational and theoretical studies have indicated that galaxy luminosities and stellar masses are tightly correlated with the masses of their dark matter halo hosts. This tight connection allows one to infer the connection between galaxies and their associated dark matter halos from high-resolution numerical simulations, and provides a powerful approach to understanding galaxy clustering and other statistics of the galaxy distribution. Based on this connection, I will present a new observationally-motivated model for understanding how halo masses, galaxy stellar masses, and star formation rates are related, and how these relations evolve with time. The emerging picture indicates that a wide variety of galaxy properties, including trends with environment, are set primarily by the masses of their dark halos.