Mathematical logic and set theory provide the foundational language for modern mathematics, articulating precise notions of proof, computability and the hierarchy of infinities. Central themes include ...

By replacing the most fundamental concept in topology, Peter Scholze and Dustin Clausen are taking the first step in a far ...

A graduate student recently harnessed the complexity of mathematical proofs to create a powerful new tool in cryptography.

Then it’s kind of a mystery to try to figure out why and how they’re related.” The Riemann hypothesis has proved to be a font ...

Thanks to some surprising advances, mathematicians are starting to realize that artificial intelligence could radically alter ...

AI is now embedded in critical digital infrastructure and that brings serious risk. Machine learning models perform well, but their opacity and ...