Math for AI safety: an invitation for mathematicians

• URL: http://arxiv.org/abs/2609.15289v1
• Date: Mon, 14 Sep 2026 09:45:14 GMT
• Title: Math for AI safety: an invitation for mathematicians
• Abstract summary: New mathematics is needed to design AI that is legible, steerable, and cooperative with humanity.<n>I organize this invitation by mathematical field, so you can turn straight to your own.<n>Each section ends with an open problem that is accessible to a working mathematician with no prior experience in AI safety.
• Score: 0.44672487764060054
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: 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.

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