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What Is Math’s Mysterious Langlands Program Really About?

The mathematical universe is boundless and heterogeneous, encompassing, over here, truths about numbers and equations; there, the logic of shapes and spaces; and over there, the study of change and probability. Its domains have grown organically over centuries, each centered around its own objects, methods, and questions. That’s why it’s so surprising when direct connections between different…

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AI Has Solved One of Math’s $1 Million Millennium Prize Problems

On the morning of Tuesday, September 8, mathematicians at OpenAI announced that a group of 10,000 autonomous AI agents under their direction, running on an advanced model not available to the public, had found a β€œsingularity” in the Navier-Stokes equations in three dimensions β€” thus resolving one of the six remaining Millennium Prize Problems posed in 2000 by the Clay Mathematics Institute…

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Live from ICM 2026: What Is Math For in the Age of AI?

Mathematicians are witnessing a profound shift in their field. AI systems are now producing proofs, spotting connections between distant fields, and, in a few cases, solving problems that had stumped mathematicians for decades. The pace of progress over the past several months has raised challenging questions: What can AI systems actually do? And what happens to the more human…

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In an Age of AI, a Physicist Seeks What Endures

In July 2026, the U.S. Department of Energy selected 278 projects to fund as part of its Genesis Mission, meant to incorporate artificial intelligence into the scientific process. One project will use AI to help physicists search for a vanishingly rare particle transformation β€” a muon becoming an electron β€” by controlling different aspects of the Mu2e experiment at Fermi National Accelerator…

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Genome Duplication Is a Radical Evolutionary Gamble

No larger than the head of a match, Potamopyrgus antipodarum doesn’t look very impressive. Few people visiting New Zealand’s Lake Alexandrina even notice the tiny gastropods littering the shores. The snail’s diminutive size, however, conceals a massive secret. Sometime in the recent past, its genome doubled. Instead of having two sets of chromosomes and two copies of every gene…

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