Title: Galaxy formation: Some Problems and Some Answers Abstract: Over the past ten years the basic theoretical framework for understanding galaxy formation has solidified. The basic elements are: inflation, cold dark matter (CDM), vacuum energy, and dissipative gas dynamics. Inflation produces small-amplitude fluctuations that grow by gravitational instability. Baryons fall into the dark matter potential wells, dissipate their acquired gravitational energy, settle into cold, dense clumps at the centers of dark matter halos, and form stars. However, some vexing problems remain. I will discuss a few of these problems and possible solutions including: 1) An inconsistency between the predicted galaxy luminosity function and the predicted zero point of the Tully-Fisher relation. 2) Why does the average star formation rate of the Universe decline rapidly towards low redshift? 3) The prediction of a cuspy dark matter density profile when observations imply a dark matter core.