Corso (mathematics, University of Kentucky) collects refereed research papers on developments at the interface of commutative algebra and algebraic geometry. Blowup algebras, Castelnuovo-Mumford regularity, integral closure and normality, Koszul homology, liaison theory, and reductions of ideals are some of the topics featured in the fifteen original research articles included here. Survey articles on topics of current interest examine Poincaré series of singularities, uniform Artin-Rees theorems, and Gorenstein rings. Most material was presented at two June 2003 meetings held in Spain and Portugal. There is no subject index.