GPT-5 autonomously solves an open math problem in enumerative geometry
GPT-5, an advanced language model, has autonomously solved an open problem in enumerative geometry. The resulting paper combines proofs from GPT-5 and Gemini 3 Pro, exposition drafted by Claude, and Lean formalization via Claude Code and ChatGPT 5.2, with ongoing support from the Lean community.
Why it matters
This news showcases the remarkable progress in AI's ability to autonomously solve open mathematical problems, with potential implications for accelerating scientific discoveries.
Key Points
- 1GPT-5 autonomously solved an open math problem in enumerative geometry
- 2The paper combines proofs from GPT-5, Gemini 3 Pro, and Lean formalization
- 3Collaboration between AI models and the Lean community to produce the paper
Details
This news article highlights the remarkable achievement of GPT-5, an advanced language model, in autonomously solving an open problem in enumerative geometry. The resulting paper is a collaborative effort, bringing together proofs from GPT-5 and Gemini 3 Pro, exposition drafted by the AI assistant Claude, and Lean formalization via Claude Code and ChatGPT 5.2. The Lean community has provided ongoing support throughout the process. This achievement demonstrates the growing capabilities of large language models in tackling complex mathematical problems and the potential for human-AI collaboration in advancing scientific research.
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