Landmark results in geometry and number theory marked an exciting year for mathematics, at a time when advances in artificial intelligence are starting to transform the subject’s future. In May, a ...

Forbes contributors publish independent expert analyses and insights. Linda Darling-Hammond is an expert on education research and policy. PISA scores reveal deep problems in how the United States ...

The original version of this story appeared in Quanta Magazine. In 1876, Peter Guthrie Tait set out to measure what he called the “beknottedness” of knots. The Scottish mathematician, whose research ...