TITLE: Reference request: uniformization theorem
QUESTION [6 upvotes]: I would appreciate if someone could point me to some introductory literature/resources where I can learn about Poincaré's uniformization theorem at a basic level.
Any good powerpoint notes, short papers or video lectures would be nice. I want to learn about the result in general, the proof, how it relates to other important theorem's in geometry and possible real-life applications.
Thank you.

REPLY [2 votes]: Let me second Alex Eremenko's suggestion for
Donald Marshall, Complex Analysis, Cambridge 2019.
The proof is based on the new notion of dipole Green's function, and is especially interesting in view of the following reasons:

It does not require second countability in the definition of a Riemann surface (see Alex's answer), but rather obtain it as a corollary of the uniformization theorem.

It gives existence of meromorphic functions that separate points for arbitrary Riemann surfaces.