Proof

The 2005 American drama film directed by John Madden, with a screenplay by Rebecca Miller and David Auburn based on Auburn's Pulitzer Prize-winning play, centers on Catherine Llewellyn (Gwyneth Paltrow), a young woman who has spent years caring for her father Robert (Anthony Hopkins), a brilliant mathematician afflicted with mental illness. Following his death, Catherine grapples with fears about her own mental stability and the legacy of her father's genius. The arrival of Hal Dobbs (Jake Gyllenhaal), one of Robert's former graduate students, who discovers a groundbreaking mathematical proof among Robert's papers, sparks conflict when Catherine claims authorship of the work. Her assertion is met with skepticism from those around her, including her sister Claire (Hope Davis), who believes Catherine may have inherited their father's madness. The film delves into themes of genius, insanity, trust, and self-identity, portraying Catherine's emotional struggle for recognition and understanding. Filming took place in Chicago, including the University of Chicago campus, with a musical score composed by Stephen Warbeck.