Ron Goldman’s current research interests lie in the mathematical representation, manipulation, and analysis of shape using computers. He is particularly interested in algorithms for polynomial and piecewise polynomial curves and surfaces, and he has investigated both parametrically and implicitly represented geometry. His current work includes research in computer aided geometric design, solid modeling, computer graphics, subdivision, algorithmic algebraic geometry, probability and geometry, blossoming and polar forms, quartenions, dual quartenions, and clifford algebras, special functions and splines.