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Mathematics
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Elliptic Curve ‘Murmurations’ Found With AI Take Flight
Mathematicians are working to fully explain unusual behaviors uncovered using artificial intelligence.
‘Entropy Bagels’ and Other Complex Structures Emerge From Simple Rules
Simple rules in simple settings continue to puzzle mathematicians, even as they devise intricate tools to analyze them.
Never-Repeating Tiles Can Safeguard Quantum Information
Two researchers have proved that Penrose tilings, famous patterns that never repeat, are mathematically equivalent to a kind of quantum error correction.
A New Agenda for Low-Dimensional Topology
This past October, dozens of mathematicians gathered in Pasadena to create the third version of “Kirby’s list” — a compendium of the most important unsolved problems in the field.
Quanta Relaunches Hyperjumps Math Game
Explore a universe of numbers and arithmetic in our new and improved interactive math game, Hyperjumps!
Unfolding the Mysteries of Polygonal Billiards
The surprisingly subtle geometry of a familiar game shows how quickly math gets complicated.
Maze Proof Establishes a ‘Backbone’ for Statistical Mechanics
Four mathematicians have estimated the chances that there’s a clear path through a random maze.
What Makes for ‘Good’ Mathematics?
Terence Tao, who has been called the “Mozart of Mathematics,” wrote an essay in 2007 about the common ingredients in “good” mathematical research. In this episode, the Fields Medalist joins Steven Strogatz to revisit the topic.