AI-authored Lean mathematics, directed by a human-owned roadmap and gated by open, adversarial review.
When AI Writes the World's Software, Who Verifies It? — Leonardo de Moura
Leonardo de Moura — Creator of Lean and Z3
OpenAI’s math breakthrough played to AI’s strengths
I tried to explain OpenAI’s solution more clearly than OpenAI did.
Itai Yanai on Twitter / X
Unpopular opinion: Going straight to AI limits your creatively, because it short-circuits the iterative process you need to develop new ideas. pic.twitter.com/O2iPs0bfh0— Itai Yanai (@ItaiYanai) June 20, 2026
Olmo 3: Charting a path through the model flow to lead open-source AI | Ai2
Our new flagship Olmo 3 model family empowers the open source community with not only state-of-the-art open models, but the entire model flow and full traceability back to training data.
Accelerating Scientific Research with Gemini: Case Studies and Common Techniques
Recent advances in large language models (LLMs) have opened new avenues for accelerating scientific research. While models are increasingly capable of assisting with routine tasks, their ability to contribute to novel, expert-level mathematical discovery is less understood. We present a collection of case studies demonstrating how researchers have successfully collaborated with advanced AI models, specifically Google's Gemini-based models (in particular Gemini Deep Think and its advanced variants), to solve open problems, refute conjectures, and generate new proofs across diverse areas in theoretical computer science, as well as other areas such as economics, optimization, and physics. Based on these experiences, we extract common techniques for effective human-AI collaboration in theoretical research, such as iterative refinement, problem decomposition, and cross-disciplinary knowledge transfer. While the majority of our results stem from this interactive, conversational methodology, we also highlight specific instances that push beyond standard chat interfaces. These include deploying the model as a rigorous adversarial reviewer to detect subtle flaws in existing proofs, and embedding it within a "neuro-symbolic" loop that autonomously writes and executes code to verify complex derivations. Together, these examples highlight the potential of AI not just as a tool for automation, but as a versatile, genuine partner in the creative process of scientific discovery.
Dario Amodei — Machines of Loving Grace
How AI Could Transform the World for the Better
Dario Amodei — Machines of Loving Grace
How AI Could Transform the World for the Better
Daron Acemoglu on Twitter / X
I recommend Columbia mathematician Michael Harris’s wide-ranging, informative and thought-provoking essay in Boston Review on AI and mathematics:https://t.co/txwAd8ri4xHarris rightly worries about the possible negative effects of AI-generated proofs and mathematics on…— Daron Acemoglu (@DAcemogluMIT) June 16, 2026
Terence Tao – Kepler, Newton, and the true nature of mathematical discovery
“And what those stories teach us about how AI will revolutionize math”
Embracing AI and formalization: Experimenting with tomorrow’s mathematical tools
Embracing AI and formalization: Experimenting with tomorrow’s mathematical tools. By Jarod Alper
My Honest Review of Math Academy (Including Their Machine Learning Math Course)
Learning Math For Machine Learning on Math Academy
The Edge of Mathematics
Terence Tao, the legendary mathematician, explains the promise of generative AI.
Palomar — Lean-verified mathematics
A public registry of Lean-verified mathematical results.
The Jagged AI Frontier
The nonintuitive strengths and weaknesses of AI performance relative to human performance, and how it is changing over time.
AI 2027
What will be left for us to work on?
OpenAI and Hugging Face partner to address security incident during model evaluation
Taking more seriously the claim that recent ML models do not "reason", it still is quite odd the particular ways that superhuman game-playin…
General-purpose large language models outperform specialized clinical AI tools on medical benchmarks
StoryScope: Investigating idiosyncrasies in AI fiction