Not the best film but some aspects to think on:
There is a critical error in her theory, which sends her astray. She is then alerted that in her absence the hole has opened up a new avenue to pursue, with further hope of progress. After this discovery she struggles and laments that further questions arise from each step toward an answer.
She finds, however, unnecessary(?) - love through collaboration. Ultimately it is her own project and will that closes the gap that allows her to present the proof.
Symbols - A room written and everything is a letter communication, cheat sheet The visual of the entire room being made at first into chalk board, and filled with the proof. As her and her partner work toward an answer they both edit one another’s work. The wall becomes a scrawl. In the final stages notes are all over the room, including scraps of paper with symbols affixed to desks.
There is a necessary consequence of shutting out her roommate.