2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/59526A Brill-Noether locus is a subvariety of M_g consisting of curves having certain linear series g^r_d. We study the relative position of Brill-Noether loci with respect to the gonality stratification of M_g. We construct smooth curves in P^r of given degree and genus and having the `expected' gonality. As an application we give a new proof of our result about the Kodaira dimension of the moduli space of curves of genus 23.14 pages, latex. Revised version as it will appear in Crelles JournalAlgebraic Geometrytext