Working in secret for more than two years, a group of mathematicians has set out to resolve of the longest and most bitter ...

Gerd Faltings shocked mathematicians around the world for his 1983 proof of the Mordell conjecture, which brought together seemingly disparate mathematical fields ...

Descriptive set theorists study the niche mathematics of infinity. Now, they’ve shown that their problems can be rewritten in the concrete language of algorithms. All of modern mathematics is built on ...

The Axiom of Choice became one of the most unsettling concepts in modern mathematics, and the man who championed it paid a high personal price. His theories shattered long-held assumptions, creating ...