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# topology

## Latest Articles

### The Year in Math and Computer Science

Even as mathematicians and computer scientists proved big results in computational complexity, number theory and geometry, computers proved themselves increasingly indispensable in mathematics.

### 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.

### Building the Mathematical Library of the Future

A small community of mathematicians is using a software program called Lean to build a new digital repository. They hope it represents the future of their field.

### 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.

### 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.