2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/106075Maryam Mirzakhani (in her doctoral dissertation) has proved the author's conjecture that the number of simple curves of length bounded by L on a hyperbolic surface S is assymptotic to a constant times L to the power d, where d is the dimension of the Teichmuller space of S. In this note we clarify and simplify Mirzakhani's argument.preliminary version of a paper published in Geometriae DedicataGeometric TopologyDynamical Systems57M50; 32G15text