2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/73891Slowly divergent geodesics in the moduli space of Riemann surfaces of genus at least 2 are constructed via cyclic branched covers of the torus. Nonergodic examples (i.e. geodesics whose defining quadratic differential has nonergodic vertical foliation) diverging to infinity at sublinear rates are constructed using a Diophantine condition. Examples with an arbitrarily slow prescribed growth rate are also exhibited.26 pages, no figuresDynamical SystemsNumber Theory37D40 (Primary) 11P21 (Secondary)Slowly divergent geodesics in moduli spacetext