Monthly Archives: November 2023

Marton’s “Polynomial Freiman-Ruzsa” Conjecture was Settled by Tim Gowers, Ben Green, Freddie Manners and Terry Tao

Posted on November 13, 2023 by Gil Kalai

Gowers, Green, Manners and Tao. They reminded me of the A-team of the 1980s television series: “If you have a problem, if no one else can help, and if you can find them, maybe you can hire… the A-Team.” A … Continue reading →

Posted in Combinatorics, Number theory, Updates | Tagged , , , , | 11 Comments

ChatGPT Meets Elchanan Mossel’s Dice Problem

Posted on November 8, 2023 by Gil Kalai

One of the greatest hits of this blog was Elchanan Mossel’s dice problem, asked here and answered here. Here is how chatGPT (the free version) handles the problem. You throw a die until you get 6. What is the expected … Continue reading →

Posted in AI, Probability, Riddles, Test your intuition | Tagged , , | 18 Comments

Richard Montgomery presents: A proof of the Ryser-Brualdi-Stein conjecture for large even n

Posted on November 1, 2023 by Gil Kalai

Fresh from the ArXiv A proof of the Ryser-Brualdi-Stein conjecture for large even n by Richard Montgomery A Latin square of order n is an n by n grid filled using n symbols so that each symbol appears exactly once … Continue reading →

Posted in Combinatorics, Updates | Tagged , , , | 2 Comments