Francis Sowerby Macaulay began his career working on Brill and Noether's theory of
algebraic plane curves and their interpretation of the Riemann–Roch and Cayley …

We consider the classical problem of determining the largest possible cardinality of a
minimal presentation of a numerical monoid with given embedding dimension and …

Abstract The Eisenbud-Green-Harris (EGH) conjecture offers a generalization of the famous
Macaulay's theorem about the Hilbert functions of homogeneous ideals in a polynomial ring …

We survey most of the known results concerning the Eisenbud-Green-Harris Conjecture. Our
presentation includes new proofs of several theorems, as well as a unified treatment of many …

Abstract Let e 1,…, ec be positive integers and let Y⊆ P n be the monomial complete
intersection defined by the vanishing of x 1 e 1,…, xce c. In this paper, we study sharp upper …

Syzygies over a polynomial ring Page 1 Syzygies over a polynomial ring Irena Peeva Abstract
We discuss results and open problems on graded minimal free resolutions over polynomial …