What is the Shape of a Rational Map?

Explore the fascinating world of rational maps in this 53-minute AMS-MAA Invited Address given by Sarah Koch from the University of Michigan at the 2019 Joint Mathematics Meetings in Baltimore. Delve into the intriguing question of what shapes rational maps can take and gain insights into this complex mathematical concept. Learn from Koch's expertise as she presents her research and findings, offering a deeper understanding of the geometric and topological properties of these mathematical objects.