Proof is a 2005 American drama film directed by John Madden and starring Gwyneth Paltrow, Anthony Hopkins, Jake Gyllenhaal, and Hope Davis. The screenplay was written by Rebecca Miller and David Auburn, based on Auburn's Pulitzer Prize-winning play of the same name. Plot The plot alternates between events immediately following the death of Robert, a brilliant mathematician at the University of Chicago whose genius was undone by crippling mental illness, and flashbacks revealing the life he shared with his daughter Catherine. Catherine is also a mathematician and was once a promising student at Northwestern University, but she struggles with living in her father's shadow and balancing her demanding studies with caring for her father, as well as the fear that she may have inherited his mental illness. At home, Robert clings to sanity by constantly bombarding Catherine with complex mathematical problems. In the opening scene Robert startles Catherine while she watches TV in the middle of the night. He gives her a bottle of champagne for her birthday, and they chat for a while about the nature of insanity, ending with the revelation that Robert died last week and his funeral is tomorrow. Awakened from this dream, Catherine realizes that Hal, a former graduate student of Robert's, is still upstairs, reading through Robert's books. Robert filled many notebooks with meaningless notes. Hal believes that Robert's genius may have withstood his illness, and clues to that genius might lie among the gibberish of his notebooks. When Hal comments on the vast amount of work Robert did, a suspicious Catherine searches Hal's backpack. Though Catherine finds nothing in Hal's bag, a notebook falls out of his coat. He explains that he wanted to give the notebook as a birthday present because it "had something written in it about her, not math, her". Hal is forced to leave, giving the notebook as intended, when Catherine calls the police. The next day, for the funeral, Catherine's sister Claire arrives in town. A huge contrast to the unkempt Catherine, Claire is an overly put together, neurotic New Yorker. Relations between the sisters are tense, and Catherine cannot stand her sister's constant harping on matters of appearance. Catherine is also upset that Claire didn't care for her father as much as Catherine did in his final years. At the funeral, Catherine expresses her frustration with the many people there. She interrupts the string quartet with an