Really proud to finally share this with everyone! A year of working with AI has shown me the promise of human-AI collaboration, and the power researchers now have in shaping their respective fields. Iβm excited to see where people take this in the future!
The Grothendieck constant is 1.7...!
We are excited to share this breakthrough on a 70 year-old problem discovered through a year-long human-AI collaboration.
We publish both the math and AI setup because academics should shape AI-assisted research to keep it fundamentally human.
We also want to acknowledge the important concurrent work of Steven Heilman, Chris Jones, Giulio Malavolta, and others who have recently pushed the bounds on (K_G). It has been exciting to see so much progress on this old problem at once.
Deeply grateful to all my collaborators who have worked hard on this problem over the last year:
@rah4927@AntonXue@swarat@praveshkkothari, Raghu Meka, and Adam Klivans.