2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/61580The only knots that are tunnel number one and genus one are those that are already known: 2-bridge knots obtained by plumbing together two unknotted annuli and the satellite examples classified by Eudave-Munoz and by Morimoto-Sakuma. This confirms a conjecture first made by Goda and Teragaito.73 pp. including 30 figuresGeometric Topology57M25text