One of the first collaborations Xinyi Yuan and Wei Zhang ever undertook was a trip to the Social Security office. It was the fall of 2004 and the two of them were promising young graduate students in ...

The Fields Medal, the world’s highest honor for mathematical research, has gone to two mathematicians who forged new links between different branches of mathematics. The recipients–announced this week ...

Arithmetic geometry, at its core, investigates the rich interplay between number theory and geometry. In the context of unitary groups—algebraic groups defined as the symmetries of Hermitian forms—the ...

Six mathematicians from the United States, Europe and Canada have emerged as leading contenders for the 2026 Fields Medal, ...

The University of Colorado Center for Number Theory has interests spanning number theory, from analytic to algebraic. There is a focus on arithmetic geometry, including arithmetic dynamics, elliptic ...

“It was just so stunning for someone so young to have done something so revolutionary,” said Weinstein, a 34-year-old number theorist now at Boston University. “It was extremely humbling.” ...

Arithmetic geometry explores deep connections between number theory and geometry by investigating solutions to polynomial equations over various fields. The subject has expanded to include the study ...

A new magnum opus posits the existence of a hidden mathematical link akin to the connection between electricity and magnetism. In 2018, as he prepared to be awarded the Fields Medal, math’s highest ...

Jason Lotay explains how mathematicians studying special geometries are collaborating with physicists to explore M-theory, an 11-dimensional description of the world that unifies the various string ...