Katie has a PhD in maths, specializing in the intersection of dynamical systems and number theory. She reports on topics from maths and history to society and animals. Katie has a PhD in maths, ...

You may not have heard of knot theory. But take it from Bill Menasco, a knot theorist of 35 years: This field of mathematics, rich in aesthetic beauty and intellectual challenges, has come a long way ...

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 ...

Knot theory, a branch of topology, examines the intricate properties of closed curves embedded in three-dimensional space. At its core is the study of knot invariants—quantitative measures that remain ...

The artificial intelligence (AI) program DeepMind has gotten closer to proving a math conjecture that's bedeviled mathematicians for decades and revealed another new conjecture that may unravel how ...