The Yang–Mills Millennium Prize problem is one of the great challenges of mathematical physics. In the quarter century since it was set, what progress has been made? This Review outlines the problem ...

In a recent study, mathematicians from Freie Universität Berlin have demonstrated that planar tiling, or tessellation, is much more than a way to create a pretty pattern. Consisting of a surface ...

The cosmological constant is the mathematical description of the energy that drives the ever-accelerating expansion of the cosmos. It's also the source of one of the most enduring and confounding ...

The original version of this story appeared in Quanta Magazine. At the turn of the 20th century, the renowned mathematician David Hilbert had a grand ambition to bring a more rigorous, mathematical ...

Mathematics, long a bastion of purely human reasoning, is now beginning to feel the influence of artificial intelligence (AI). AI has already transformed other disciplines, from mastering chess and Go ...