Conjecture, is an intriguing map of the mind, a journey into the “divine madness” that compels a human to spend a decade ...

When the mathematicians Jeff Kahn and Gil Kalai first posed their “expectation threshold” conjecture in 2006, they didn’t believe it themselves. Their claim — a broad assertion about mathematical ...

After German mathematician Gerd Faltings proved the Mordell conjecture in 1983, he was awarded the Fields Medal, often described as the “Nobel Prize of Mathematics.” The conjecture describes the set ...

A landmark proof in computer science has also solved an important problem called the Connes embedding conjecture. Mathematicians are working to understand it. Imagine aliens landed on Earth and handed ...

Prime Number Patterns Prime numbers, divisible only by themselves and 1, have long fascinated mathematicians. Discovering new ...

Imagine knowing that the stock market will likely crash in three years, that extreme weather will destroy your home in eight or that you will have a debilitating disease in 15—but that you can take ...