FAS Research Lunch
An algebraic curve is one that can be defined by polynomial equations. I will describe various properties of algebraic curves and their applications, and will focus on how configurations of sets of points on an algebraic curve can be studied by systems of linear equations, leading to work of mine on efficient computation on the Jacobian variety of large genus curves. Instead of working directly with equations for a curve, it is often more efficient to represent a curve indirectly by listing a sufficient number of particular points as well as some structural invariants of the curve.
Kamal Khuri-Makdisi is a professor in the mathematics department at AUB. He received his Ph.D. from Princeton University in 1993, and joined AUB in 1999. His current areas of research are number theory and automorphic forms, with an interest in algorithms and effective methods.