Syzygies and Hilbert Functions

Some Results and Questions on Castelnuovo-Mumford Regularity Marc Chardin Hilbert Coefficients of Ideals with a View toward Blowup Algebras Alberto Corso and Claudia Polini A Case Study in Bigraded Commutative Algebra David Cox, Alicia Dickenstein and Hal Schenck Lex-Plus-Powers Ideals Christopher A. Francisco and Benjamin P. Richert Multiplicity Conjectures Christopher A. Francisco and Hema Srinivasan The Geometry of Hilbert Functions Juan C. Migliore Minimal Free Resolutions of Projective Subschemes of Small Degree Uwe Nagel Infinite Free Resolutions over Toric Rings Irena Peeva Resolutions and Subspace Arrangements Jessica Sidman Multigraded Hilbert Functions and Mixed Multiplicities Irena Swanson Index