Mathematicians predicted that if they imposed enough restrictions on how a shape might tile space, they could force a periodic pattern to emerge. But they were wrong. One of the oldest and simplest ...

Arithmetic geometry is a vibrant field at the intersection of number theory and algebraic geometry, focussing on the study of polynomial equations and the distribution of their rational solutions.

Mathematicians from New York University and the University of British Columbia have resolved a decades-old geometric problem, ...

Summer Haag and Clyde Kertzer made major news in the math world while working on a summer research project Prior to the end of the 2022-2023 academic year, graduate student Summer Haag and junior ...

Hidden Fibonacci numbers, a new shape and the search for a grand unified theory of mathematics are among our choices for most ...

The Collatz Conjecture is a deceptively simple math problem. It has only two rules. First, pick any number. If it's even, divide it by two. If it's odd, multiply it by three and add one. This will ...

One of the oldest and simplest problems in geometry has caught mathematicians off guard—and not for the first time. Since antiquity, artists and geometers have wondered how shapes can tile the entire ...