The constraining mathematical structure of the Coulomb branch of four dimensional \(\mathcal{N}=2\) supersymmetric theories is discussed. The presentation follows a somewhat different route from other excellent reviews on the subject and it is geared towards using this tool to classify four dimensional \(\mathcal{N}=2\) superconformal field theories. This is the writeup of the lectures given at the Winter School "YRISW 2020" to appear in a special issue of JPhysA.