In Star Trek, Tiberius was the middle name of James T Kirk, Captain of the U.S.S. Enterprise. Kirk's middle name came from his paternal grandfather, Tiberius Kirk.
In Harry Potter, Tiberius Ogden was a member of the Wizengamot who resigned in protest when Dolores Umbridge was appointed High Inquisitor of Hogwarts.
In the Mortal Instruments, Tiberius Blackthorn was a shadowhunter. Shadowhunters were humans with angelic blood who battled demons and supernatural beings.
Tiberius is an ancient Roman name, borne by a Roman emperor. In 2015, 85 boys were named Tiberius in the United States.