Computing characteristic classes of projective schemes
  We discuss an algorithm computing the push-forward to projective space of several classes associated to a (possibly singular, reducible, nonreduced) projective scheme. For example, the algorithm yields the topological Euler characteristic of the support of a projective scheme $S$, given the homogeneous ideal of $S$. The algorithm has been implemented in Macaulay2. 
Paolo Aluffi (Florida State University and Max-Planck-Institut, Bonn)