Regularity is a package for computing the Castelnuovo-Mumford regularity of homogeneous ideals in a polynomial ring without having to compute a minimal free resolution of the homogeneous ideal
This package is based on two articles by Bermejo and Gimenez: Saturation and Castelnuovo-mumford Regularity, Journal of Algebra 303/2006 and Computing the Castelnuovo-Mumford Regularity of some subschemes of P^n using quotients of monomial ideals, Journal of Pure and Applied Algebra 164/2001.