Fields Medal

The mathematician Alessio Figalli is rarely in one place for very long. But his work has established the stability of everything from crystals to weather fronts by using concepts derived from Napoleonic fortifications.

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

Subhash Khot’s bold conjecture is helping mathematicians explore the precise limits of computation.

Martin Hairer was named a 2014 Fields medalist for an epic masterpiece in stochastic analysis that colleagues say “created a whole world.”

Maryam Mirzakhani, who became the first woman Fields medalist for drawing deep connections between topology, geometry and dynamical systems, has died of cancer at the age of 40. This is our 2014 profile of her life and work.

Artur Avila’s solutions to ubiquitous problems in chaos theory have “changed the face of the field,” earning him Brazil’s first Fields Medal.

The search for artistic truth and beauty has led Manjul Bhargava to some of the most profound recent discoveries in number theory, which have helped earn him the Fields Medal.