This manifesto proposes a new era of AI-assisted scientific discovery, moving beyond AI as a mere assistant or calculator to a co-explorer. It outlines seven 'heavens' or areas of mathematical research where AI could be instrumental, including number theory (e.g., tackling the Erdős–Straus conjecture and Riemann Hypothesis), combinatorics (e.g., exploring Ramsey theory), geometry (e.g., discovering new sphere packing structures), and algebra (e.g., the Invariant Subspace Problem). The proposed workflow involves human conjecture, AI exploration, formal verification, and human interpretation, aiming for discovery with explanation rather than just search. AI
IMPACT Proposes a paradigm shift in AI's role in scientific discovery, moving towards collaborative exploration of complex mathematical problems.
RANK_REASON This is a manifesto or opinion piece outlining future directions for AI in mathematics, not a release of a new model or product.
- Astra
- K-4
- K-5
- K-6
- Leech lattices
- Paul Erdős
- Ramsey theory
- Riemann hypothesis
- Riemann zeta function
- sphere packing
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