2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/135767We discuss how non-commutative fundamental groups could eventually contribute to algorithms for finding rational points on hyperbolic curves.Submitted to Lang memorial volumeNumber TheoryAlgebraic Geometry11G30, 14G05Remark on fundamental groups and effective Diophantine methods for hyperbolic curvestext