{
  "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.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.15289",
  "author_total": 1,
  "authors": [
    {
      "name": "Lionel Levine"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/b4rw9x6mqth9d.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.15289",
  "fulltext_url": null,
  "id": "b4rw9x6mqth9d",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.15289",
  "language": null,
  "licence": "LicenseRef-arXiv-nonexclusive-1.0",
  "licence_label": "arXiv licence",
  "licence_source": "article",
  "licence_url": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "cs.AI"
    ],
    [
      "arxiv",
      "cs.LG"
    ],
    [
      "arxiv",
      "math.HO"
    ],
    [
      "openalex",
      "3311|Ethics and Social Impacts of AI"
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  ],
  "openalex": "W7213252891",
  "pdf_url": "https://arxiv.org/pdf/2609.15289",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-14",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/b4rw9x6mqth9d.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:22:04Z",
      "native_id": "2609.15289",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.15289"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.HO",
      "subfield": "general"
    }
  ],
  "title": "Math for AI safety: an invitation for mathematicians",
  "title_text": "Math for AI safety: an invitation for mathematicians",
  "type": "preprint",
  "updated_at": "2026-10-30T12:22:04Z",
  "url": "https://research.draconitic.com/paper/b4rw9x6mqth9d",
  "venue": "arXiv",
  "versions": []
}