Title: Computing Riemann Surfaces for Factoring Bivariate Approximate Polynomials Authors: Rob Corless Affiliation: University of Western Ontario, Canada Abstract: A new technique for factoring bivariate approximate polynomials rests on the numerical construction of a substantial portion of the Riemann surface for the function defined by one factor. We discuss the reliability and complexity of this technique. Joint work with Mark Giesbrecht, Ilias Kotsireas, Mark van Hoeij and Stephen Watt.