New arXiv paper invites mathematicians to tackle AI safety, field by field
stevenstrogatz · x · 2026-09-15
Lionel Levine's 33-page arXiv paper "Math for AI safety: an invitation for mathematicians" argues that new mathematics is needed to build legible, steerable, cooperative AI. It organizes open problems by field: logic and game theory for cooperation, probability for agency and world-models, algebra and representation theory for learned features, analysis and geometry for generalization and training dynamics. Each section ends with an accessible open problem for working mathematicians with no prior AI safety experience.
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