Friday, December 12, 2025

String Theory Inspires a Brilliant, Baffling New Math Proof

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ALGEBRAIC GEOMETRY | ALL TOPICS
 

String Theory Inspires a Brilliant, Baffling New Math Proof

By JOSEPH HOWLETT

Years ago, an audacious Fields medalist outlined a sweeping program that, he claimed, could be used to resolve a major problem in algebraic geometry. Other mathematicians had their doubts. Now he says he has a proof.

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MATERIALS SCIENCE
 

Why Is Ice Slippery? A New Hypothesis Slides Into the Chat.

By PAULINA ROWIŃSKA

A newly proposed explanation for the slipperiness of ice has revived a centuries-long debate.

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ARTIFICIAL INTELLIGENCE
 

Cryptographers Show That AI Protections Will Always Have Holes

By PETER HALL

Large language models such as ChatGPT come with filters to keep certain info from getting out. A new mathematical argument shows that systems like this can never be completely safe.

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THE QUANTA PODCAST
 

How Hard Is It to Untie a Knot?

Podcast hosted by SAMIR PATEL
with LEILA SLOMAN

Earlier this year, two mathematicians found that a theory for how to differentiate between knots is false. In this episode, contributing writer Leila Sloman joins editor in chief Samir Patel to tell the story of how the unknotting number came unraveled.

Listen (Apple) | Listen (Spotify)

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Scientist Pankaj

String Theory Inspires a Brilliant, Baffling New Math Proof

Plus: Why Is ice slippery?; AI protections will always have holes; Unknotting numbers on The Quanta Podcast ...