This is a grant under the Scientific Computing Research Equipment for the Mathematical Sciences program of the Division of Mathematical Sciences of the National Sciences Foundation. This program supports the purchase of special purpose computing equipment dedicated to the conduct of research in the mathematical sciences. This equipment is required for several research projects and would be difficult to justify for one project alone. Support from the National Science Foundation is coupled with discounts and contributions from manufacturers and with substantial cost-sharing from the institutions submitting the proposal. This program is an example of academic, corporate, and government cooperation in the support of the basic research in the mathematical sciences. This equipment will be used to support five research projects in the Department of Mathematics of Brandeis University: Green's conjecture on the free resolution of canonical curves, the investigator is David Eisenbud; equivariant free resolutions and equivariant Groebner bases, the investigators are David Buchsbaum and Eisenbud; development of "Macaulay", the investigator is Eisenbud; hypergeometric series identities and generalized symmetric functions, the investigator is Ira Gessel; completely integrable systems, the investigators are Mark Adler and Pierre Van Moerbeke.
