Abstract
I will present work I have been doing to characterize the evolution of galaxies in clusters over the past 10 billion years as a way of understanding how the environment can affect galaxies. I will describe how we have used an extensive multi-wavelength data set on intermediate redshift clusters from the ESO Distant Cluster Survey (EDisCS) to form a pictures in which infalling cluster galaxies likely have their gas supplies cut off, their morphologies transformed, and may even experience epochs of very frequent mergers. I will also discuss new results on molecular gas observations of distant cluster and proto-cluster galaxies that I am using to understand how the quenching of star formation in massive cluster galaxies proceeds at the epoch when they began their final journey onto the passive sequence.