These achievements created a framework that mathematicians continue to build upon decades later.

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 ...

Why do we insist that our god be infinite? Why would being bound in a nutshell world give us bad dreams? Why do we fear the cloister more than the agora? Longing and love have always “the expansion of ...

It might sound strange to think about physics (which often involves a lot of theory and hypotheticals) helping people solve mathematics problems. However, physics follows many math patterns very ...

Mathematics is full of weird number systems that most people have never heard of and would have trouble even conceptualizing. But rational numbers are familiar. They’re the counting numbers and the ...

The Mathematical Physics group at CU Boulder has expertise in Hilbert space theory, quantization theory, random matrices, Poisson geometry, the mathematics of classical and quantum fields, and PDE's ...

The laws of physics imply that the passage of time is an illusion. To avoid this conclusion, we might have to rethink the reality of infinitely precise numbers. Strangely, although we feel as if we ...

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 ...