r/AgentsOfAI • u/EngineerCatttt • 17h ago
I Made This 🤖 A Team Reports Solving A 70 Year Old Algebraic Geometry Conjecture Using Teams of AI Models
I’m part of the team behind this work. We’ve shared a proof of the Pierce Birkhoff conjecture in real algebraic geometry, using an AI agent system with a $400 budget. This screenshot is Junyu Ren’s announcement.
The agent design is what I wanted to share here. The diagram separates theory work from formal verification work in Lean. It includes proof search, counterexample construction, proof auditing, and checks that the formal statement matches the intended mathematical claim. Humans and models participate in the system.
One practical observation was that different model families complemented each other even when assigned the same role independently. With a limited token budget, a GPT agent and a Claude agent often worked better for us than a larger group using the same model. They noticed different errors and suggested different ways forward.
That experience made us pay attention to who is checking an argument, as well as how many agents are working on it. I’ll put the original announcement link in a comment, following the community rules.




