## Latest Articles

### ‘Sensational’ Proof Delivers New Insights Into Prime Numbers

The proof creates stricter limits on potential exceptions to the famous Riemann hypothesis.

### How America’s Fastest Swimmers Use Math to Win Gold

Number theorist Ken Ono is teaching Olympians to swim more efficiently.

### How the Square Root of 2 Became a Number

Useful mathematical concepts, like the number line, can linger for millennia before they are rigorously defined.

### How Failure Has Made Mathematics Stronger

The topologist Danny Calegari discusses the inevitability of disappointment in math, and how to learn from it.

### Strangely Curved Shapes Break 50-Year-Old Geometry Conjecture

Mathematicians have disproved a major conjecture about the relationship between curvature and shape.

### Mathematicians Marvel at ‘Crazy’ Cuts Through Four Dimensions

Topologists prove two new results that bring some order to the confoundingly difficult study of four-dimensional shapes.

### Michel Talagrand Wins Abel Prize for Work Wrangling Randomness

The French mathematician spent decades developing a set of tools now widely used for taming random processes.

### ‘The Rest of the World Disappears’: Claire Voisin on Mathematical Creativity

The recipient of the 2024 Crafoord Prize in Mathematics discusses math as art, math as language, and math as abstract thought.

### ‘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.