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 ...

This is where Emmy Noether, a groundbreaking German mathematician, comes into the picture. She found a breathtakingly simple ...

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 ...

Mathematicians are working to bring quantum field theory (QFT) into mainstream mathematics. In this illustration, three exotic particles called “anyons” circle around each other in a process called ...

Tessellations aren’t just eye-catching patterns—they can be used to crack complex mathematical problems. By repeatedly ...

Classical physics is characterized by the equations describing the world. Yet our day-to-day experience is struck by this deterministic vision of the world. A physicist has been analyzing the ...

For every popular list of unsolved problems, there are scholars and students dreaming of -- and working towards -- solving the puzzles they contain. Many search for creative solutions, only to reach ...

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 ...

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 ...

Breakthroughs in physics sometimes require an assist from the field of mathematics—and vice versa. In 1912, Albert Einstein, then a 33-year-old theoretical physicist at the Eidgenössische Technische ...

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 ...