For close to 40 years, a simple little hypothesis has been quietly sitting in a corner of graph theory, minding its own business. Known as the “bunkbed conjecture”, it always seemed kind of ...

Mathematicians predicted that if they imposed enough restrictions on how a shape might tile space, they could force a periodic pattern to emerge. They were wrong.

Despite the greatest strides in mathematics, these hard math problems remain unsolved. Take a crack at them yourself.

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.

Hannah Cairo has solved the so-called Mizohata-Takeuchi conjecture, a problem in harmonic analysis closely linked to other ...

Mathematicians prove Pólya's conjecture for the eigenvalues of a disk, a 70-year-old math problem by Béatrice St-Cyr-Leroux, University of Montreal ...

Mathematicians have made lots of recent progress on a question called the Mordell conjecture, which was posed a century ago ...

Proving the “discrete” periodic tiling conjecture for high-dimensional lattices is a slightly different problem than proving the continuous version of the conjecture, as there are tilings that ...

geometry ‘Nasty’ Geometry Breaks Decades-Old Tiling Conjecture Mathematicians predicted that if they imposed enough restrictions on how a shape might tile space, they could force a periodic pattern to ...