2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/146896We show how to define and count lattice points in the moduli space $\modm_{g,n}$ of genus g curves with n labeled points. This produces a polynomial with coefficients that include the Euler characteristic of the moduli space, and tautological intersection numbers on the compactified moduli space.15 pages, 5figuresAlgebraic GeometryGeometric Topology32G15; 11P21; 57R20text