Constraining the epoch of inflation is a major goal of cosmology. Inflation generically makes three major predictions: (1) the existence of a background of gravity waves, (2) a nearly scale-invariant spectrum of primordial curvature perturbations, (3) that all fluctuations are Gaussian. My talk will address the last two of these predictions. I will first discuss how the epoch of reionization may complicate our efforts to measure the tilt of the power spectrum. Then I will focus on what we can learn from measurements of non-Gaussianity in the CMB.