hello there the jacobian conjecture is false thanx to my close friend akhil for asking about it and my other close friend fable for working during the world cup final
((1+xy)^3 z + y^2 (1+xy) (4+3xy), y + 3 x (1+xy)^2 z + 3 x y^2 (4+3xy), 2 x - 3 x^2 y - x^3 z): \C^3\to \C^3, has jacobian determinant -2, and sends (0, 0, -1/4), (1, -3/2, 13/2), and (-1, 3/2, 13/2) to (-1/4, 0, 0)
Careful what you highlight in VSCode, Claude is listening.
Ran a local sniffer and caught Claude Code shipping a private key straight to Anthropic's API, pulled from an unsaved file I'd only selected. But hey, at least it warns you.
Sometimes building things with Claude feels like working with a confidently incompetent intern. It hands you something, then you go find every wrong assumption it made and hope you got them all.