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From Poincaré to Geometrization: The Lean Formalization Push

A team led by Ben Chow formalized the proof of the Poincaré conjecture in 4.7 million lines of Lean, then extended the effort to a complete formalization of Thurston's geometrization conjecture with help from NVIDIA.

2026-09-28 ~ 2026-10-11 · 2 episodes · 6 posts

Episode 1 · Poincaré Conjecture Fully Formalized in 4.7M Lines of Lean (2026-09-28, 3 posts)

A four-person team led by UCSD professor Ben Chow completed the full Lean formalization of the Hamilton–Perelman proof of the Poincaré conjecture, totaling 4.7 million lines of code, with AI producing 2.7 million lines in a two-week sprint.

Episode 2 · Thurston Geometrization Conjecture Fully Formalized in Lean (2026-10-10, 3 posts)

A team led by Ayush Khaitan, working with NVIDIA's Humanfia project, has fully formalized the Hamilton–Perelman proof of Thurston's Geometrization Conjecture in Lean. The roughly 4.7-million-line effort reportedly took two weeks.