For conformal mappings of Riemann surfaces (for example, domains in the complex plane).
For conformal mappings of Riemann surfaces (for example, domains in the complex plane). Includes discussion of, applications of the Riemann mapping theorem (and thus is closely related to Teichmuller theory).
This is a sub-topic of both "conformal geometry" and of "complex analysis". However, due to its history and importance, I felt it deserved a tag of its own.