Mathematics 319 - Tpc: Algebraic Geometry & Comp

'Advances in computing since the 1980's have made computation with polynomials tractable in many situations that arise in applications. We will study Buchberger's algorithm, which is the foundational tool of computational algebra. We will also learn about the interplay between systems of polynomial equations and the geometry of their solution sets. Additional topics may include applications to integer programming, computer-aided design, robotics, and statistics.'

Prereq: Math-211. Math-232 or 311 also recommended.