AI co-mathematician: Accelerating mathematicians with agentic AI

Published
Source
arXiv
Paper number
185
Field
Agents / Science / Math
arXiv ID
2605.06651

Key points

  • Mathematical research is a complex, iterative process that requires broad exploration, intuition building, and continuous revision beyond formal proof.
  • Existing AI tools for mathematics are specialized, such as automated theorem provers or discovery engines, but they lack an integrated, stateful system that can coordinate these capabilities for long-term collaborative workflows.
  • Mathematicians currently have to manually integrate multiple AI tools and computation resources across different aspects of their work, because there is no comprehensive, interactive AI assistant.
  • AI co-mathematician is an interactive workbench that uses a hierarchy of AI agents built on the Gemini language model to manage and execute mathematical research tasks.
  • The system uses a project coordinator agent to refine user intent and delegates tasks to a parallel-workstream coordinator agent that uses specialized subagents for literature review, coding, proof, and computational exploration.
  • The system focuses on producing 'living working papers' with internal links, margin notes for citation, and iterative AI-led review loops, while supporting asynchronous interaction and flexible user steering.

Paper links

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