A tetrahedron is the simplest Platonic solid. Mathematicians have now made one that’s stable only on one side, confirming a ...

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 ...

Joshua Zahl, the American mathematician who recently solved the century-old Kakeya conjecture, is leaving Canada's UBC for a ...

This hypothesis was dubbed the periodic tiling conjecture. In a preprint posted in November , Greenfeld, along with Terence Tao of UCLA, finally settled the conjecture—but not in the way ...

A Big Year in Graph Theory. If there is one area of math that was particularly fruitful in 2023, it’s graph theory. One of the biggest mathematical discoveries of the past year was the proof of a new, ...

Goldbach’s Conjecture. One of the greatest unsolved mysteries in math is also very easy to write. Goldbach’s Conjecture is, “Every even number (greater than two) is the sum of two primes ...

After German mathematician Gerd Faltings proved the Mordell conjecture in 1983, he was awarded the Fields Medal, often described as the “Nobel Prize of Mathematics.”The conjecture describes ...

Hong Wang, one of the paper co-authors, presents her work on the Kakeya conjecture. David Song / NYU. Mathematicians have finally solved a geometry problem that has puzzled the field for decades.

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 ...