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# Mathematics

## Latest Articles

### Math’s ‘Bunkbed Conjecture’ Has Been Debunked

It was intuitive, even obvious. It was also wrong.

### Math Is Still Catching Up to the Mysterious Genius of Srinivasa Ramanujan

Born poor in colonial India and dead at 32, Ramanujan had fantastical, out-of-nowhere visions that continue to shape the field today.

### Big Advance on Simple-Sounding Math Problem Was a Century in the Making

A new proof about prime numbers illuminates the subtle relationship between addition and multiplication — and raises hopes for progress on the famous abc conjecture.

### When Data Is Missing, Scientists Guess. Then Guess Again.

Across the social and biological sciences, statisticians use a technique that leverages randomness to deal with the unknown.

### Mathematicians Discover New Shapes to Solve Decades-Old Geometry Problem

Mathematicians have long wondered how “shapes of constant width” behave in higher dimensions. A surprisingly simple construction has given them an answer.

### ‘Groups’ Underpin Modern Math. Here’s How They Work.

What do the integers have in common with the symmetries of a triangle? In the 19th century, mathematicians invented groups as an answer to this question.

### Perplexing the Web, One Probability Puzzle at a Time

The mathematician Daniel Litt has driven social media users to distraction with a series of simple-seeming but counterintuitive probability puzzles.

### Mathematicians Prove Hawking Wrong About the Most Extreme Black Holes

For decades, extremal black holes were considered mathematically impossible. A new proof reveals otherwise.

### The Geometric Tool That Solved Einstein’s Relativity Problem

Tensors are used all over math and science to reveal hidden geometric truths. What are they?