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
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