“Why look for a counterexample if the conjecture is so obviously true?” wrote Igor Pak, a math professor at UCLA and one of the authors of the new paper, in a blog post on the breakthrough.

Shinichi Mochizuki’s controversial mathematical proof of abc conjecture divides math experts amid cultural conflicts and ...

And to do so, he first encoded all the relevant information from Szpiro’s conjecture in terms of a new class of mathematical ... fell apart is not meant as a reflection of anything with Mochizuk ...

A joke was made that this problem was part of a conspiracy to slow down mathematical research in the U.S.” The Collatz conjecture—the vexing puzzle Kakutani described—is one of those ...

A year ago a trio of mathematicians solved what’s called Zimmer’s conjecture ... Their proof stands as one of the biggest mathematical achievements in recent years. It settles a question ...

They consider rigid symmetries, such as rotations and reflections ... Watanabe’s result closed one front of mathematical research. It also opened another. After his work, mathematicians knew the Smale ...

But progress can come from internal reflection, Tiep said ... Brauer's Height Zero Conjecture, Annals of Mathematics (2024). DOI: 10.4007/annals.2024.200.2.4 Robert M. Guralnick et al, Character ...

not just in number theory but in almost all areas of mathematics. There are now numerous theorems based on the Riemann conjecture. Proof of this conjecture would prove many other theorems as well ...

I want that one!’” CU Boulder students Clyde Kertzer and Summer Haag disproved a longstanding conjecture in mathematical number theory during their summer research experience. “I’ve taken a bunch of ...