A Modulus Proof of Cannon’s Conjecture
Source: github.com/openai/math/tree/main/preprints/A-Modulus-Proof-…
We prove that every hyperbolic group whose boundary is homeomorphic to the two-sphere admits a proper cocompact isometric action on hyperbolic three-space with finite kernel. This resolves Cannon's conjecture positively.
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100+ reactions to 100+ solutionsProofs and PromptsHarry Hyungryul BaikOct 8, 2026
several of the problems or their variations were ones I had been working on right up until the day before, or were closely related to them. The Cannon conjecture is one example. But my research program around it has never been solely about proving the conjecture. I wanted to understand why it…