Jake Gyllenhaal alongside his older sister, Maggie Gyllenhaal. He subsequently appeared in another indie film, "The Good Girl" (2002) and the climate fiction-disaster film "The Day After Tomorrow" (2004), portraying a student caught in a cataclysmic climate event. In 2005, Gyllenhaal portrayed Anthony "Swoff" Swofford in "Jarhead", Harold Dobbs in "Proof", and Jack Twist in Ang Lee's "Brokeback Mountain." For his performance in "Brokeback Mountain," he received critical acclaim and won the BAFTA Award for Best Actor in a Supporting Role and was nominated for the Screen Actors Guild Award for Outstanding Performance by a Male Actor in a Supporting Role, the
Jake Gyllenhaal rumors circulated regarding the actor's sexual orientation. When asked about such gossip during an interview, Gyllenhaal said: Gyllenhaal narrated the 2005 short animated film "The Man Who Walked Between the Towers", based on Mordicai Gerstein's book of the same name about Philippe Petit's famous stunt. In January 2007, as host of "Saturday Night Live", he put on a sparkly evening dress and sang "And I Am Telling You I'm Not Going" from the musical "Dreamgirls" for his opening monologue, dedicating the song to his "unique fan base... the fans of "Brokeback"". In 2007, Gyllenhaal starred in David Fincher's mystery thriller