Computation and Visualization: Minimal, Constant-mean Curvature, and Willmore Surfaces in 3 and 4 Dimensions (

to purchase one SGI four-processor machine, one file server, ten X-terminals, a color laser printer, and site licenses for Maple and Matlab which will be dedicated to the support of research for the projects proposed here. We also request funding for partial support for one professional system administrator to setup and maintain this equipment. A specific list of the projects are as follows: • Computations in Algebraic Geometry: hypergeometric functions, toric varieties, enumerative geometry (Eduardo Cattani, David Cox, Frank Sottile) • Computational Number Theory: numerical and graphical investigations of Artin L-functions (David Hayes, Siman Wong) • Mesoscopic theories and hybrid computational algorithms in materials science and fluid mechanics Amherst will contribute cost sharing of 50% of the amount of this purchase, and will assume the full personnel costs after NSF funding ends.