This year’s Fields Medal honors four mathematicians in their 30s who have made their mark in geometry and physics.

Debates over how geometry is understood and learned date back at least to the days of Plato, with more recent scholars concluding that only humans possess the foundations of this understanding.

The study provides the first evidence that baboons and macaques share the same geometric intuitions present in young humans.

Geometric group theory and discrete mathematics intersect in the study of groups through the lens of geometric and combinatorial structures. At its core, geometric group theory probes how algebraic ...

In 1867, French mathematician Pierre Ossian Bonnet proved something that seemed like common sense: if you know how far apart any two points on a surface are, and how the surface curves at every point, ...

More than 30 years ago, Andreas Floer changed geometry. Now, two mathematicians have finally figured out how to extend his revolutionary perspective. Arnold’s work was in an area of mathematics that ...

Google has quietly upgraded their search calculator to not just answer your basic math questions or graphical or 3D math questions; now, it can do your geometry homework. You can ask Google geometry ...

John Pardon sees connections between different areas of math that others don’t. For that vision, he’s now been awarded a ...

We readily distinguish regular geometric shapes with features like parallel sides, symmetry, and right angles from irregular ...

On a mild autumn day in 2016, the Hungarian mathematician Gábor Domokos arrived on the geophysicist Douglas Jerolmack’s doorstep in Philadelphia. Domokos carried with him his suitcases, a bad cold, ...