What's up in

The p-adics form an infinite collection of number systems based on prime numbers. They’re at the heart of modern number theory.

Representation theory was initially dismissed. Today, it’s central to much of mathematics.

Mathematicians have figured out how to expand the reach of a mysterious bridge connecting two distant continents in the mathematical world.

Akshay Venkatesh, a former prodigy who struggled with the genius stereotype, has won a Fields Medal for his “profound contributions to an exceptionally broad range of subjects in mathematics.”

The 30-year-old math sensation Peter Scholze is now one of the youngest Fields medalists for “the revolution that he launched in arithmetic geometry.”

Generations of researchers have pursued his “Langlands program,” which seeks to create a grand unified theory of mathematics.

Peter Scholze is a favorite to win one of the highest honors in mathematics for his contributions in number theory and geometry.

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

A new breakthrough that bridges number theory and geometry is just the latest triumph for a close-knit group of mathematicians.