
Richard Haburcak
The Ohio State University
Title
Special Algebraic Curves
Abstract
Algebraic curves (Riemann surfaces), and their moduli space, are classical objects of interest in geometry, algebra, and number theory. Given a curve, it is natural to ask how can we put it into projective space? The study of maps from curves to project space is Brill—Noether theory, also called a "representation theory for curves". We'll give an overview of how Brill—Noether theory impacts other properties of curves and highlight recent developments.