## Latest Articles

### Mathematicians Find an Infinity of Possible Black Hole Shapes

In three-dimensional space, the surface of a black hole must be a sphere. But a new result shows that in higher dimensions, an infinite number of configurations are possible.

### The Computer Scientist Who’s Boosting Privacy on the Internet

Harry Halpin wants our internet conversations to be more private. He’s helped create a new kind of network that might make it possible.

### At Long Last, Mathematical Proof That Black Holes Are Stable

The solutions to Einstein’s equations that describe a spinning black hole won’t blow up, even when poked or prodded.

### Mass and Angular Momentum, Left Ambiguous by Einstein, Get Defined

Surprising as it may sound, 107 years after the introduction of general relativity, the meanings of basic concepts are still being worked out.

### An Ancient Geometry Problem Falls to New Mathematical Techniques

Three mathematicians show, for the first time, how to form a square with the same area as a circle by cutting them into interchangeable pieces that can be visualized.

### The Mathematician Who Delights in Building Bridges

Ana Caraiani seeks to unify mathematics through her work on the ambitious Langlands program.

### Mathematicians Solve Decades-Old Classification Problem

A pair of researchers has shown that trying to classify groups of numbers called “torsion-free abelian groups” is as hard as it can possibly be.

### A Number Theorist Who Connects Math to Other Creative Pursuits

Jordan Ellenberg enjoys studying — and writing about — the mathematics underlying everyday phenomena.

### New Black Hole Math Closes Cosmic Blind Spot

A mathematical shortcut for analyzing black hole collisions works even in cases where it shouldn’t. As astronomers use it to search for new classes of hidden black holes, others wonder: Why?