What's up in

# topology

## Latest Articles

### 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.

### 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.

### New Geometric Perspective Cracks Old Problem About Rectangles

While locked down due to COVID-19, Joshua Greene and Andrew Lobb figured out how to prove a version of the “rectangular peg problem.”

### In a Single Measure, Invariants Capture the Essence of Math Objects

To distinguish between fundamentally different objects, mathematicians turn to invariants that encode the objects’ essential features.

### Graduate Student Solves Decades-Old Conway Knot Problem

It took Lisa Piccirillo less than a week to answer a long-standing question about a strange knot discovered over half a century ago by the legendary John Conway.

### Math After COVID-19

Modern mathematics relies on collaboration and travel. COVID-19 is making it increasingly difficult.

### John Conway Solved Mathematical Problems With His Bare Hands

The legendary mathematician, who died on April 11, was curious, colorful and one of the greatest problem-solvers of his generation.

### Mathematics as a Team Sport

When 50 mathematicians spend a week in the woods, there’s no telling what will happen. And that’s the point.

### The Map of Mathematics

Explore our surprisingly simple, absurdly ambitious and necessarily incomplete guide to the boundless mathematical universe.