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Towards Autonomous Mathematics Research

4 hours ago
  • #Human-AI Collaboration
  • #AI Research
  • #Mathematical Olympiad
  • Introduction of Aletheia, a math research agent capable of generating, verifying, and revising solutions in natural language.
  • Powered by Gemini Deep Think for reasoning, a novel inference-time scaling law, and intensive tool use for mathematical research.
  • Demonstrated capabilities from Olympiad problems to PhD-level exercises and AI-assisted mathematics research milestones.
  • AI-generated research paper (Feng26) without human intervention in arithmetic geometry.
  • Human-AI collaboration in research paper (LeeSeo26) proving bounds on systems of interacting particles.
  • Semi-autonomous evaluation of 700 open problems on Bloom's Erdos Conjectures database, solving four open questions.
  • Proposal for quantifying autonomy and novelty of AI-assisted results and human-AI interaction cards for transparency.
  • Reflections on human-AI collaboration in mathematics and sharing of prompts and model outputs.