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The Core of Fermat’s Last Theorem Just Got Superpowered
By extending the scope of the key insight behind Fermat’s Last Theorem, four mathematicians have made great strides toward building a “grand unified theory” of math.
Graduate Student Solves Classic Problem About the Limits of Addition
A new proof illuminates the hidden patterns that emerge when addition becomes impossible.
New ‘Superdiffusion’ Proof Probes the Mysterious Math of Turbulence
Turbulence is a notoriously difficult phenomenon to study. Mathematicians are now starting to untangle it at its smallest scales.
Dimension 126 Contains Strangely Twisted Shapes, Mathematicians Prove
A new proof represents the culmination of a 65-year-old story about anomalous shapes in special dimensions.
Mathematical Beauty, Truth and Proof in the Age of AI
Mathematicians have started to prepare for a profound shift in what it means to do math.
New Proof Settles Decades-Old Bet About Connected Networks
According to mathematical legend, Peter Sarnak and Noga Alon made a bet about optimal graphs in the late 1980s. They’ve now both been proved wrong.
Where Does Meaning Live in a Sentence? Math Might Tell Us.
The mathematician Tai-Danae Bradley is using category theory to try to understand both human and AI-generated language.
A New Proof Smooths Out the Math of Melting
A powerful mathematical technique is used to model melting ice and other phenomena. But it has long been imperiled by certain “nightmare scenarios.” A new proof has removed that obstacle.
Three Hundred Years Later, a Tool from Isaac Newton Gets an Update
A simple, widely used mathematical technique can finally be applied to boundlessly complex problems.