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Paper · arXiv

Math for AI safety: an invitation for mathematicians

Artificial intelligence threatens to outrun human understanding and control. New mathematics is needed to design AI that is legible, steerable, and cooperative with humanity. I organize this invitation by mathematical field, so you can turn straight to your own: 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 open problem that is accessible to a working mathematician with no prior experience in AI safety.

AuthorsLionel Levine
Primary categorymath.HO
Published14 September 2026
Last updated at source14 September 2026
math.HOcs.AIcs.LG
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