Century-old Carathéodory conjecture likely disproved with AI help

haider1 · x · 2026-08-19

A major breakthrough in mathematics suggests that the century-old Carathéodory conjecture has likely been disproved with the assistance of AI. Researchers used Claude to navigate complex literature and verify arguments, concluding that the $C^\infty$ Carathéodory and Loewner conjectures are false. A PDF writeup detailing the proof has been circulating among academics, marking a significant moment for the "math singularity."

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