Joan Birman popularized the Burau representation problem decades ago. Now she and two colleagues have a proof that reveals ...

In May 2026, OpenAI released a new math result that sent shock waves throughout the world of mathematical research. A major ...

Looking for help with today's New York Times Pips? We'll walk you through today's puzzle and help you match dominoes to tiles ...

For the second time in a week, a long-standing conjecture has been disproved by artificial intelligence, highlighting the ...

In an episode of the cartoon, a machine lets characters swap bodies, but they can’t switch back with the same person. Math ...

Its writer, Ken Keeler, had to formulate an original mathematical proof to solve a significant plot problem. The bodies and minds of nine characters are mixed up so wildly that it becomes hard to ...

For more than a decade, mathematicians have been unable to settle the question of whether the ABC conjecture has been solved.

Some, however, find that bridging fields opens new realms of possibility. Henry Kvinge, who trained as a mathematician but ...

AI can rifle through enormous libraries of information to connect far-flung ideas—conceptual leaps remain a purely human skill. The planar unit distance problem, or Erdős problem 90, has intrigued ...

Abstract: The permutation flow shop scheduling problem (PFSP) is a significant challenge in production scheduling, considerably impacting industrial efficiency and competitiveness. To minimize the ...

Alice the quantum magician: If you shuffle a large deck of cards and then hide most of the labels on the cards, no-one will be able to tell what permutations you made – unless the cards are quantum.

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