Tag Archives: Riemann Surface
Recall that the upper half plane consists of complex numbers with . Let denote the closed unit disk as the union of the unit disk with its boundary . This assignment is meant to explain the pictures at the Wolfram … Continue reading
Today we discuss how some familiar objects — namely the circle, the sphere, the torus, and even elliptic curves — are each examples of non-singular algebraic curves which are also compact, connected Riemann surfaces.
In Lecture 11 and Lecture 12, we discussed examples of Riemann Surfaces and their relation with the Riemann Sphere . Today, we put things into perspective by considering the larger picture: we discuss tesselations of the upper half plane, covering … Continue reading
For the first lecture for the course, I would like to focus on a simple question: Why would anyone care about Dessins d’Enfants anyway? I won’t quite get to answer this question, but I will at least motivate the study … Continue reading