Deep multi-wavelength surveys, especially in the infrared, are revealing a first comprehensive picture of galaxy assembly out to z>2. An important discovery was the gradual mode and mass dependence of star formation histories, a dominant mechanism of galaxy assembly out to z>2, and, as I will show, likely beyond. These data are improving theoretical understanding of star formation in DM halos of different masses at different epochs, and will reveal even more about the physics of star formation when measurements of cold gas become available from near-future telescope arrays.