Modular forms

A type of symmetry so unusual that it was called a “pariah” turns out to have deep connections to number theory.

At 28, Peter Scholze is uncovering deep connections between number theory and geometry.

The Ukrainian mathematician Maryna Viazovska has solved the centuries-old sphere-packing problem in dimensions eight and 24.

Researchers are on the trail of a mysterious connection between number theory, algebra and string theory.