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 ...

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.

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 ...

The playful side of math. But what Haag and Kertzer found even more gratifying than disproving a major outstanding conjecture was experiencing first-hand the creative side of mathematics research. It ...

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 ...

And so, Iosevich said, they didn’t just disprove the periodic tiling conjecture: “They did this in the most humiliating fashion possible.” Foray Into Incompleteness. The work marks a new way to ...