A well-known, brilliant yet mentally unstable mathematician dies and leaves behind two daughters and a lot of filled notebooks in Proof. It’s an adaptation by David Auburn and Rebecca Miller from Auburn’s own Pulitzer Prize–winning play that works on every level. Live-in caretaker and daughter Catherine (Gwyneth Paltrow, who reprises her role from the London stage) is a gifted mathematician, too, but lives in fear that her father’s instability may be a gene she inherits. Then there’s the professor’s protg Hal (Jake Gyllenhaal) who is interested in Catherine. He’s obsessed with going through her father’s notebooks and then finds one that is astounding: a proof, a groundbreaking mathematical discovery. The problem is, it’s Catherine’s finding. Or so she claims.