The Riemann's moduli space gives the solution to Riemann's moduli problem, which requires an analytic parameterization of the compact Riemann surfaces in a fixed homeomorphism class.
Ahlfors-Bers Theorem
Explore with Wolfram|Alpha
Cite this as:
Weisstein, Eric W. "Ahlfors-Bers Theorem." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/Ahlfors-BersTheorem.html