The quest to make mathematics rigorous has a long and spotty history — one mathematicians can learn from as they push to ...

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

The difference between a smooth project and a frustrating one often comes down to your tools. These are the ones people trust to get it done.

Gerd Faltings proved a conjecture that had been unsolved for six decades, using connections between numbers and geometry.

Decades of data have suggested the universe is flat, much like an infinite plane. But a new analysis reveals deep flaws in ...

From White Sands and the Great Sand Dunes to Bryce, Bisti, Bonneville, and Petrified Forest, these 10 U.S. landscapes feel almost extraterrestrial, shaped not by lava but by gypsum, salt, sandstone, ...

A recipient of his profession’s prestigious Fields Medal, he devised an algorithm that helps solve mathematical ...

Evidence of alien life or cosmic pyramid scheme? A documentary filmmaker sparked a discussion of advanced Martian ...

This year’s Abel Prize, an annual lifetime achievement award for mathematics that is bestowed by the Norwegian Academy of ...

What are the main differences between chemical etching and other metal shaping methods? Researchers at the Karlsruhe ...

Jumping from high school to college-level statistics and geometry can feel like learning a new language. The concepts get ...