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
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