June 20, 2018
David Eisenbud is interested in many aspects of algebraic geometry. His present projects concern free minimal resolutions over complete intersections (work with Irena Peeva); homological properties of residual intersections that are not Cohen-Macaulay (work with Bernd Ulrich); and sheaves on products of projective spaces (work with Frank Schreyer, Daniel Erman).
He recently started working on a new book with Joe Harris, which should become a textbook on projective algebraic curves suitable for a semester course following some acquaintance with sheaves and cohomology.