After being unknowingly dosed with AUM by Joe Malik and Simon Moon, he turns into a homo neophilus, thinks straight, abandons law, and takes up mathematics. His name is an allusion to Judge Julius Hoffman, who tried the Chicago Seven in 1969. Caligula's real name was Gaius Iulius after the famous Gaius Iulius, and Abbie Hofmann (one of the defendants) suggested the judge try LSD at the end of the trial.