The hero in Ulysses' story who faced trials such as the Cyclops and the Sirens is Odysseus. His journey home from the Trojan War was fraught with challenges that tested his intelligence and bravery. Encountering mythical beings like the Cyclops, who captures him and his men, and the Sirens, whose song lures sailors to their doom, Odysseus' adventures highlight themes of cunning, perseverance, and the desire to return to his family.