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# topology

## Latest Articles

### 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.

### Color-Changing Material Unites the Math and Physics of Knots

Mathematicians have studied knots for centuries, but a new material is showing why some knots are better than others.

### Mathematicians Cut Apart Shapes to Find Pieces of Equations

New work on the problem of “scissors congruence” explains when it’s possible to slice up one shape and reassemble it as another.

### With Category Theory, Mathematics Escapes From Equality

Two monumental works have led many mathematicians to avoid the equal sign. The process has not always gone smoothly.

### Möbius Strips Defy a Link With Infinity

A new proof shows why an uncountably infinite number of Möbius strips will never fit into a three-dimensional space.

### Scientists Learn the Ropes on Tying Molecular Knots

As chemists tie the most complicated molecular knot yet, biophysicists create a “periodic table” that describes what kinds of knots are possible.

### A Master of Numbers and Shapes Who Is Rewriting Arithmetic

The 30-year-old math sensation Peter Scholze is now one of the youngest Fields medalists for “the revolution that he launched in arithmetic geometry.”