Approximation Theory

Brief description. In this course, we will study a selection of approximation-theoretic results (with applications) on $\mathbb C$, and more generally, on open Riemann surfaces. While we will stay in one complex dimension, our focus will be on results and methods that admit generalizations to higher dimensions.

A more detailed syllabus (including references) for the course will be posted by the end of September 2021. In the meantime, to get a broad sense of the topic, you can browse through the following two survey articles.

Prerequisites.
  • Hard prerequisite: MA 224 (Complex Analysis).
  • Soft prerequisites: some knowledge of potential theory in $\mathbb{C}$ (MA 226) and Riemann surfaces (MA 307) will be hepful. However, all the necessary background from these topics will be covered as and when needed.