MAT 444-01 - Senior Seminar: Reimann Surfaces

4 credits (Fall Term 2)

Riemann surfaces are beautiful mathematical objects which lie at the intersection of complex analysis, algebra, topology, and number theory. Fundamentally they are objects which locally look like the complex plane, and we use tools from both analysis and algebra to study them. In this course we will explore the core content of this field, touch on graduate level work, and talk about open research problems. Along the way we will learn about several other topics such as manifolds, complex analysis, and curves.

Prerequisite: MAT 316 and MAT 321.
Note: Plus-2 option available.
Instructor: Paulhus