From Clouds to Cores to Protostars and Disks: New Insights from Numerical Simulations Shantanu Basu University of Western Ontario Understanding the sequence of events that turns turbulent, magnetized, partially ionized molecular cloud gas into stars is an outstanding challenge of modern astrophysics. Our numerical simulations of various stages of the star formation process reveal several new features of turbulence, fragmentation, and disk accretion. We find that turbulent motions, even when driven from local sources, can quickly fill a cloud with motions in which most of the power is present on the largest scales. The densest regions of the clouds contain subsonic or transonic turbulent motions and there the core formation process may be driven by gravity. When mediated by energetically significant magnetic fields and ion-neutral friction, a unique fragmentation process is discovered which can be identified with the isolated mode of star formation. When we follow the collapse of a nonaxisymmetric disk down to the formation of a protostar and disk, the mass accumulation of the protostar begins in a well-known "smooth mode" of accretion, but then proceeds through a newly discovered "burst mode" that can explain the FU Ori phenomenon. Our models of disk accretion also have have important implications for the possibility of giant planet formation by gravitational instability.