Mathematician Grigori Perelman solved the Poincaré conjecture, and then rejected the $1 million prize that came with it.

Despite multiple conferences dedicated to explicating Mochizuki’s proof, number theorists have struggled to come to grips with its underlying ideas. His series of papers, which total more than 500 ...

A pair of mathematicians has solved the first chunk of one of the most famous conjectures about the additive properties of whole numbers. Proposed more than 60 years ago by the legendary Hungarian ...

DeepMind’s AlphaEvolve helps solve a math puzzle with Terence Tao, showing how AI can now invent new ideas—and prove old ones ...

Now affiliated with Hunan University, the award-winning professor solved a major part of Furstenberg’s conjecture dating to ...

Landmark results in geometry and number theory marked an exciting year for mathematics, at a time when advances in artificial intelligence are starting to transform the subject’s future. In May, a ...

A new approach has chipped away at a famously unsolved math problem. The Erdos-Turan conjecture in additive combinatorics is one of the longest lasting unsolved problems. The two mathematicians used ...

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 set ...

It's all about the polynomials, baby. When you purchase through links on our site, we may earn an affiliate commission. Here’s how it works. Mathematicians have uncovered a big new piece of evidence ...

Whenever a major leap is made in pure mathematics, the question always leads to "Cool, but what does this mean for me?" Here's what you want to know. Shinichi Mochizuki is a number theorist at Kyoto ...

This is a preview. Log in through your library . Abstract We prove the ionization conjecture within the Hartree-Fock theory of atoms. More precisely, we prove that, if the nuclear charge is allowed to ...