Mathematicians explore ideas by proposing conjectures and proving them with theorems. For centuries, they built these proofs line by careful line, and most math researchers still work like that today.

When Carrie Diaz Eaton trained as a mathematician, they didn’t expect their career to involve social-justice research. Growing up in Providence, Rhode Island, Diaz Eaton first saw social justice in ...

athematics is, at its core, an art. Like painters, musicians or writers, mathematicians create and explore new worlds. They ...

Somewhere at the edge of mathematics lurks a number so large that it breaks the very foundations of our understanding - and ...

Talia Ringer is in the Siebel School of Computing and Data Science, University of Illinois at Urbana–Champaign, Urbana, Illinois, 61801, USA. Read the paper: Olympiad-level formal mathematical ...

It took 125 years, but in 2025 a team of mathematicians discovered the solution to a long-puzzling problem about the ...

When you buy through links on our articles, Future and its syndication partners may earn a commission. Hilbert's sixth problem was one of the loftiest. He called for "axiomatizing" physics, or ...

Mathematicians present the Nopertedro: a Rupert property solid that broke an old myth by preventing one copy from passing through another.

Mathematicians have finally solved a geometry problem that has puzzled the field for decades. The question was proposed by Japanese mathematician Sōichi Kakeya in 1917. It sounds simple: How can you ...

The original version of this story appeared in Quanta Magazine. A new proof has brought mathematicians one step closer to understanding the hidden order of those “atoms of arithmetic,” the prime ...

A new proof has brought mathematicians one step closer to understanding the hidden order of those “atoms of arithmetic,” the prime numbers. The primes — numbers that are only divisible by themselves ...