Mathematical physics occupies the fertile borderland between pure mathematics and theoretical physics, developing precise frameworks to formulate and solve the laws governing nature. It embraces the ...

AI could soon spew out hundreds of mathematical proofs that look "right" but contain hidden flaws, or proofs so complex we ...

Illustration of a set of real zeros of a graph polynomial (middle) and two Feynman diagrams. Credit: Max Planck Institute for Mathematics in the Sciences How can the behavior of elementary particles ...

Alexander Polyakov, a theoretical physicist now at Princeton University, caught a glimpse of the future of quantum theory in 1981. A range of mysteries, from the wiggling of strings to the binding of ...

This article is the first part of a series about quantum field theory published by Quanta Magazine. Other stories in the series can be found here. Over the past century, quantum field theory has ...

At the frontiers of theoretical physics, many of the most popular ideas have one thing in common: they begin from a mathematical framework that seeks to explain more things than our currently ...

A former graduate student reflects on how Isadore Singer, who died on February 11, brought together mathematicians, physicists and anyone else interested in the deeper connections between diverse ...

His unifying disparate theoretical realms helped revolutionize our understanding of the most basic structure of the universe. By Julie Rehmeyer Isadore Singer, who unified large areas of mathematics ...

Mathematical physics is an interdisciplinary field that employs rigorous mathematical methodologies to elucidate and model physical phenomena. It draws upon diverse areas such as differential geometry ...