My research at UCLA has focused on the two primary sources of energy in the Universe since the Big Bang: fusion power in stars and accretion power from massive black holes. While there is still considerable uncertainty in the energy production in the current Universe, the ultimate goal is to trace the cosmic history of these power sources all the way back to their beginnings. The galaxies of most interest thus appear small and faint, and have their emission redshifted to much longer wavelengths than they were initially produced. Furthermore, much of their energy is released in dusty environments. The combination of large redshifts and dust reddenings means that the major problems in observational cosmology must be addressed with a broad multiwavelength suite of observations, which includes sensitive measurements at long wavelengths, where dust absorption is minimized.