Latest Articles
Origami Patterns Solve a Major Physics Riddle
The amplituhedron, a shape at the heart of particle physics, appears to be deeply connected to the mathematics of paper folding.
At 17, Hannah Cairo Solved a Major Math Mystery
After finding the homeschooling life confining, the teen petitioned her way into a graduate class at Berkeley, where she ended up disproving a 40-year-old conjecture.
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.
A Rosetta Stone for Mathematics
In 1940 André Weil wrote a letter to his sister, Simone, outlining his vision for translating between three distinct areas of mathematics. Eighty years later, it still animates many of the most exciting developments in the field.
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.
Mathematicians Identify the Best Versions of Iconic Shapes
Researchers are discovering the shortest knots and fattest Möbius strips, among other “optimal shapes.”
Echoes of Electromagnetism Found in Number Theory
A new magnum opus posits the existence of a hidden mathematical link akin to the connection between electricity and magnetism.
An Old Conjecture Falls, Making Spheres a Lot More Complicated
The telescope conjecture gave mathematicians a handle on ways to map one sphere to another. Now that it has been disproved, the universe of shapes has exploded.
Elliptic Curves Yield Their Secrets in a New Number System
Ana Caraiani and James Newton have extended an important result in number theory to the imaginary realm.