2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/150223This article will appear in the proceedings of the AMS Summer Institute in Algebraic Geometry at Santa Cruz, July 1995. The topic is toric ideals, by which I mean the defining ideals of subvarieties of affine or projective space which are parametrized by monomials. Numerous open problems are given.AMS-Tex, 13 pagesAlgebraic GeometryCommutative Algebra14M25, 52B20 (Primary) 13P10 (Secondary)text