Jake Gyllenhaal Actor BAFTA for the same role and received a Best Supporting Actor nomination and Best Film Ensemble nomination from the Screen Actors Guild. Also for "Brokeback Mountain", he and Ledger won an MTV Movie Award for "Best Kiss" in 2006. Shortly after the 2006 Academy Awards, Gyllenhaal was invited to join the Academy in recognition of his acting career. Gyllenhaal expressed mixed feelings about the experience of being directed by Ang Lee in "Brokeback Mountain" but generally had more praise than criticism for Lee's directing style. While complaining of the way Lee tended to disconnect from his actors once filming
Proof (2005 film) Proof (2005 film) Proof is a 2005 American drama film directed by John Madden and starring Gwyneth Paltrow, Anthony Hopkins, Jake Gyllenhaal, and Hope Davis. It was written by Rebecca Miller, based on David Auburn's Pulitzer Prize-winning play "Proof". The plot alternates between events immediately following the death of Robert (Anthony Hopkins), a brilliant mathematician whose genius was undone by crippling mental illness, and flashbacks revealing the life he shared with his daughter Catherine (Gwyneth Paltrow). Catherine is also a mathematician, but she struggles with living in her father's shadow, with balancing her demanding studies with caring for her father