Jake Gyllenhaal In "Proof", featuring Gwyneth Paltrow and Anthony Hopkins, Gyllenhaal played a graduate student in mathematics who tries to convince Paltrow's character to publish a revolutionary proof to a problem puzzling the mathematicians' community. In "Jarhead", Gyllenhaal played a violent U.S. Marine during the first Gulf War. He also auditioned to be Batman for the blockbuster "Batman Begins" and came close to getting the role, but Christian Bale was ultimately chosen for it. In "Brokeback Mountain", Gyllenhaal and Heath Ledger play young men who meet as sheep herders and embark upon a sexual relationship that begins in the summer of 1963
Heath Ledger had in any way led to his death (as Denby and others suggest), Ledger's co-star and friend Christian Bale, who played opposite him as Batman, has stressed that, as an actor, Ledger greatly enjoyed meeting the challenges of creating that role, an experience that Ledger himself described as "the most fun I've ever had, or probably ever will have, playing a character." Terry Gilliam also refuted the claims that playing the Joker made him crazy, calling it "absolute nonsense" and going on to say, "Heath was so solid. His feet were on the ground and he was the least neurotic