Five years ago, mathematicians Dawei Chen and Quentin Gendron were trying to untangle a difficult area of algebraic geometry involving differentials, elements of calculus used to measure distance ...

Researchers have developed an artificially intelligent system that does the exact opposite of living in the moment. But it doesn’t just think a few steps ahead—it thinks millions of steps ahead. A ...

In the third century BCE, Apollonius of Perga asked how many circles one could draw that would touch three given circles at exactly one point each. It would take 1,800 years to prove the answer: eight ...