How Emmy Noether's theorem uses the Lagrangian to provide a formula for calculating the quantity of symmetries in a system—like the orbit of planets.

An international team of quantum researchers has shown how machine learning can be used to filter a practically infinite ...

Decades ago, Paul Erdős used randomness to illuminate the vast and weird world of networks. Now mathematicians are making his ...

When the Leiden Declaration on Artificial Intelligence and Mathematics went live on 2 June 2026, things moved quickly. The ...

Large language models can write essays, summarize legal clauses, explain ancient history, draft emails, and produce code that looks impressively official. Then you ask one to multiply two awkward ...

Noether discovered that for every continuous symmetry of a system, there is a conserved quantity—that is, a quantity that ...

The Department of Mathematical Sciences invites applications for a two or three-year Postdoctoral Teaching Fellow beginning August 2026. This twelve-month appointment has a teaching responsibility of ...

Artificial intelligence is mastering the kinds of projects that have long helped to build the careers of young mathematicians. What does that mean for their future? Credit...Illustrations by Yoshi ...

In mid-May, OpenAI announced that an internal AI model had disproved the Erdős unit distance conjecture, a famous problem in discrete geometry that had stumped human mathematicians for the last 80 ...

Abstract: As quantum computing technology continues to advance, the development of post-quantum cryptography (PQC) methods capable of resisting quantum computing attacks has emerged as a key research ...

Three mathematicians have laid out proof that solves a long-standing problem in mathematics. Even the mathematician—an Abel prize winner—that first posed the problem didn't believe it would ever be ...