In mathematics, proofs can be written down and shared. In cryptography, when people are trying to avoid revealing their ...

A marriage of formal methods and LLMs seeks to harness the strengths of both.

Since the start of the 20th century, the heart of mathematics has been the proof — a rigorous, logical argument for whether a given statement is true or false. Mathematicians’ careers are measured by ...

In a digital era plagued by growing privacy concerns and eroding institutional trust, the power to prove something without disclosing sensitive data is not merely an academic exercise—it's a ...

Number theorist Andrew Granville on what mathematics really is — and why objectivity is never quite within reach. In 2012, the mathematician Shinichi Mochizuki claimed he had solved the abc conjecture ...

All equals are not created equal—mathematicians sometimes play fast and loose. In programming, equal signs mean different things, and variables have different types. Turning intuitive math expertise ...

Every day, dozens of like-minded mathematicians gather on an online forum called Zulip to build what they believe is the future of their field. They’re all devotees of a software program called Lean.