What's up in
Geometry
Latest Articles
A Proof About Where Symmetries Can’t Exist
In a major mathematical achievement, a small team of researchers has proven Zimmer’s conjecture.
Why Mathematicians Can’t Find the Hay in a Haystack
In math, sometimes the most common things are the hardest to find.
Tinkertoy Models Produce New Geometric Insights
An upstart field that simplifies complex shapes is letting mathematicians understand how those shapes depend on the space in which you visualize them.
A Master of Numbers and Shapes Who Is Rewriting Arithmetic
The 30-year-old math sensation Peter Scholze is now one of the youngest Fields medalists for “the revolution that he launched in arithmetic geometry.”
Three Decades Later, Mystery Numbers Explained
Zeta values seem to connect distant geometric worlds. In a new proof, mathematicians finally explain why.
Mathematicians Explore Mirror Link Between Two Geometric Worlds
Decades after physicists happened upon a stunning mathematical coincidence, researchers are getting close to understanding the link between two seemingly unrelated geometric universes.
The (Math) Problem With Pentagons
Triangles fit effortlessly together, as do squares. When it comes to pentagons, what gives?
The Atomic Theory of Origami
By reimagining the kinks and folds of origami as atoms in a lattice, researchers are uncovering strange behavior hiding in simple structures.
Why Mathematicians Like to Classify Things
It’s “a definitive study for all time, like writing the final book,” says one researcher who’s mapping out new classes of geometric structures.