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
Jake Gyllenhaal and lasts for 20 years. The film was often referred to in the media with the shorthand phrase "the gay cowboy movie", though there was differing opinion on the sexual orientation of the characters. The film won the Golden Lion prize at the Venice Film Festival. The film went on to win four Golden Globe Awards, four British Academy of Film and Television Arts (BAFTA) Awards, and three Academy Awards. Gyllenhaal was nominated for an Academy Award in the category of Best Supporting Actor for his performance but lost to George Clooney for "Syriana". Gyllenhaal also won the Best Supporting