Maxson Lecture Series

Date: September 26, 2019

Time: 4:00PM - 5:00PM

Location: BLOC 117

Speaker: David A. Cox, Amherst College

Title: Maxson Lecture #2: Geometric Modeling, Rees Algebras, and Rational Normal Scrolls

Abstract: In the first part of the lecture, I will consider a parametrized quartic curve in the projective plane from three perspectives: • Geometric modeling, where we find the implicit equation using moving curves. • The Rees algebra, where we consider its defining equations. • Curves on rational normal scrolls, where we get insight into the Rees algebra. The goal is to link the algebra and geometry. The second part of the lecture will focus on the role of singularities and end with an unsolved problem about sextic plane curves with 10 double points. This is join work with Teresa Cortadellas and Carlos D’Andrea of the University of Barcelona.