Axiom formalizes 7,500-page Stacks Project in Lean, creating largest math library

Axiom has released a formalization of the entire Stacks Project, a foundational reference in algebraic geometry, into the Lean proof assistant. This extensive library, comprising 16 million lines of code, represents the largest integrated and reusable collection of formalized mathematics to date. The project aims to make modern algebraic geometry more accessible for formal verification, particularly as AI systems increasingly generate mathematical arguments. AI

IMPACT Enables more rigorous AI-driven mathematical discovery and verification by providing a machine-checked foundation for algebraic geometry.

RANK_REASON Release of a large, formalized mathematical library based on existing foundational texts. [lever_c_demoted from research: ic=1 ai=1.0]

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• AI agents
• algebraic geometry
• algebraic stacks
• Axiom
• cohomology
• Columbia University
• commutative algebra
• Johan de Jong
• Lean
• Mathlib
• number theory
• Schemes
• Sheaves
• Stacks Project

• paper
• infra

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