Even if we mapped every genome, mathematics would still confront us with unending questions Dr Reyaz Ahmad “Mathematics is the only infinite human activity,” the legendary problem-poser Paul Erdős ...

Mathematician Per Enflo, who solved a huge chunk of the 'invariant subspaces problem' decades ago, may have just finished his work. When you purchase through links on our site, we may earn an ...

Friedmann accepted this new term but pointed out a radical alternative: the universe did not have to be frozen. He argued that Einstein’s static universe was merely a special case and that the cosmos ...

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 ...

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 ...

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 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 ...