## Latest Articles

### ‘Monumental’ Math Proof Solves Triple Bubble Problem and More

The decades-old Sullivan’s conjecture, about the best way to minimize the surface area of a bubble cluster, was thought to be out of reach for three bubbles and up — until a new breakthrough result.

### The Math Evangelist Who Preaches Problem-Solving

Richard Rusczyk, founder of Art of Problem Solving, has a vision for bringing “joyous, beautiful math” — and problem-solving — to classrooms everywhere.

### A Solver of the Hardest Easy Problems About Prime Numbers

On his way to winning a Fields Medal, James Maynard has cut a path through simple-sounding questions about prime numbers that have stumped mathematicians for centuries.

### In Times of Scarcity, War and Peace, a Ukrainian Finds the Magic in Math

With her homeland mired in war, the sphere-packing number theorist Maryna Viazovska has become the second woman to win a Fields Medal in the award’s 86-year history.

### Researchers Achieve ‘Absurdly Fast’ Algorithm for Network Flow

Computer scientists can now solve a decades-old problem in practically the time it takes to write it down.

### Which Computational Universe Do We Live In?

Cryptographers want to know which of five possible worlds we inhabit, which will reveal whether truly secure cryptography is even possible.

### Researchers Identify ‘Master Problem’ Underlying All Cryptography

The existence of secure cryptography depends on one of the oldest questions in computational complexity.

### Mathematician Hurls Structure and Disorder Into Century-Old Problem

A new paper shows how to create longer disordered strings than mathematicians had thought possible, proving that a well-known recent conjecture is “spectacularly wrong.”

### Mathematician Disproves 80-Year-Old Algebra Conjecture

Inside the symmetries of a crystal shape, a postdoctoral researcher has unearthed a counterexample to a basic conjecture about multiplicative inverses.