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Scientists Uncover the Universal Geometry of Geology
An exercise in pure mathematics has led to a wide-ranging theory of how the world comes together.
Some Math Problems Seem Impossible. That Can Be a Good Thing.
Struggling with math problems that can’t be solved helps us better understand the ones we can.
A Scientist Who Delights in the Mundane
From crumpled paper to termite mounds to three-sided coins, L. Mahadevan has turned the whole world into his laboratory.
When Math Gets Impossibly Hard
Mathematicians have long grappled with the reality that some problems just don’t have solutions.
Conducting the Mathematical Orchestra From the Middle
Emily Riehl is rewriting the foundations of higher category theory while also working to make mathematics more inclusive.
Mathematicians Report New Discovery About the Dodecahedron
Three mathematicians have resolved a fundamental question about straight paths on the 12-sided Platonic solid.
Computer Scientists Attempt to Corner the Collatz Conjecture
A powerful technique called SAT solving could work on the notorious Collatz conjecture. But it’s a long shot.
Computer Search Settles 90-Year-Old Math Problem
By translating Keller’s conjecture into a computer-friendly search for a type of graph, researchers have finally resolved a problem about covering spaces with tiles.
How Physics Found a Geometric Structure for Math to Play With
Symplectic geometry is a relatively new field with implications for much of modern mathematics. Here’s what it’s all about.