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

Artificial intelligence has formally verified the prizewinning proof that solved the sphere packing problem in eight dimensions, a result closely tied to Maryna Viazovska’s Fields Medal. The ...

Since the start of the 20th century, the heart of mathematics has been the proof — a rigorous, logical argument for whether a given statement is true or false. Mathematicians’ careers are measured by ...

Gerd Faltings, Director Emeritus at the Max Planck Institute for Mathematics in Germany, has been named the 2026 Abel Prize ...

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

All equals are not created equal—mathematicians sometimes play fast and loose. In programming, equal signs mean different things, and variables have different types. Turning intuitive math expertise ...