Probing the star formation history using the redshift evolution of luminosity functions

We present a self-consistent, semi-analytical LCDM model of star formation and reionization. For the cosmological parameters favored by the WMAP data, our models consistently reproduce the optical depth to reionization, redshift of reionization and the observed luminosity functions (LF) and hence the star formation rate (SFR) density at 38. Molecular cooled halos, which may be important for reionizing the universe, are not detectable in the present deep field observations. However, their presence and contribution to reionization can be inferred indirectly from the redshift evolution of the LF at 6<z< 12.Accurately measuring the LF at high z can be used to understand the nature of star formation in the dark ages and probe the history of reionization. (Abridged