2014 Fields Medal and Nevanlinna Prize Winners Announced
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The Four-Color Theorem Gets a Rare New Proof
By revisiting the famous problem — which was controversially solved in the 1970s with the help of computers — mathematicians have gained important new insights into the nature of graphs.
What Is Math’s Mysterious Langlands Program Really About?
Hidden correspondences hint at a deeper structure to the mathematical universe. Our columnist unpacks one of those connections and asks mathematicians what they might mean.
AI Has Solved One of Math’s $1 Million Millennium Prize Problems
Mathematicians at OpenAI showed that the Navier-Stokes equations, which describe how fluids flow, can sometimes “blow up.” But the massive result is not without controversy.
Live from ICM 2026: What Is Math For in the Age of AI?
In this special live recording from the International Congress of Mathematicians in Philadelphia, July 2026, the central question discussed was what do mathematicians really value about doing mathematics in the first place?
In an Age of AI, a Physicist Seeks What Endures
Sarah Demers, chair of the physics department at Yale University, sees the potential for large language models to both help and harm her field.
Genome Duplication Is a Radical Evolutionary Gamble
By doubling their entire genome, organisms can evolve extremely rapidly — or they can lose it all. New studies reveal how to survive the high-risk, high-reward evolutionary event.
‘Stunning’ Percolation Proof Solves Decades-Old Puzzle About Phase Transitions
Mathematicians found that a broad class of networks will abruptly shift behavior past a critical point.
Does Computer Science Need Computers?
The theoretical side of the field doesn’t require computing machines. But many questions would never have been posed without them.
In Hilbert Space, All Things Are Quantumly Possible
To explore quantum phenomena, we must leave the familiar world and enter the abstract realm of Hilbert space.