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Category Archives: AI
The Ramanujan Challenge for AI
The Ramanujan challenge Ido Kaminer shared with me the following information about The Ramanujan Challenge for AI, and I am happy to share it with the readers of this blog. The challenge page is at ramanujanmachine.com/ramanujan-challenge; Here is the The … Continue reading
Amazing: Erdős’ Unit Distance Problem was Disproved! It was achieved by AI!
Paul Erdős’s, in his 1946 paper published in the American Mathematical Monthly, posed two general questions about the distribution of distances determined by a finite set of points in a metric space. 1. Unit Distance Problem: At most how many … Continue reading
Posted in AI, Combinatorics, Geometry, Updates, What is Mathematics
Tagged OpenAI, Paul Erdos, Unit Distance Problem
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Polymath Plus AI
This post was written together with Nissan Hajaj and Ido Kaminer. Update (June 26,2026): The problem for the first project has now been resolved. Update (June, 26, 2926): For all projects (currently four) see our project page. Update (April 5, 2026): … Continue reading
A Ten-Year-Old Video about Larry Guth and Netz Katz.
Facebook recently reminded of a videotaped lecture I gave ten years ago on Larry Guth and Nets Katz. In that lecture, I discussed their famous joint work on the Erdős distinct distances problem, as well as some of their individual … Continue reading
Posted in AI
Tagged Alex Lubotzky, James Maynard, Larry Guth, Nets Hawk Katz, Noam Solomon
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November’s Lectures, 2025
Happy Chanukah, everybody! There is a lot of academic activity around, and the ceasefire in Gaza has brought some relief and hope. Let me tell you about the (unusually high number of) lectures I attended in November 2025, in reverse … Continue reading
Posted in AI, Combinatorics, Computer Science and Optimization, Geometry, Physics, Quantum, Updates
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Ten Recent Questions for ChatGPT
I recently asked over Math Overflow about Examples for the use of AI and especially LLMs in notable mathematical developments, and there were several interesting answers. Here are (slightly edited) 10 recent questions that I asked ChatGPT that have led … Continue reading
A Breakthrough of an Unusual Nature: the Media Control Symbol “Play” was Successfully Embedded into the London Skyline!
Three pictures showing that the media control symbol “play” was successfully embedded into London’s skyline 🙂 . The fourth rare picture is a screenshot with the control symbol “play” appearing side by side with its natural London demonstration. And here … Continue reading
Posted in AI, Updates, What is Mathematics
Tagged London, media control symbols, What is Mathematics
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Peter Sarnak is Coming to Town – Let’s Celebrate it with a Post on Möbius Randomness, Computational Complexity, and AI
Peter Sarnak will give the Gordon memorial lectures at the Hebrew University of Jerusalem. At the end of December 2024, Peter Sarnak will deliver the Mark Gordon memorial lecture series on Spectra of locally symmetric geometries at the Hebrew University … Continue reading
Posted in AI, Computer Science and Optimization, Number theory, Updates
Tagged Peter Sarnak
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Combinatorics and more 
