Analysis & PDEs2026
From colliding particles to a gas equation
How can reversible collisions of countless tiny particles produce the statistical equation used to describe the evolution of a gas?
The storyAn award edition
2026
Different contributions. A shared moment in mathematics.
4 medalists — explore each contribution below.
Geometry & topology2026
Counting curves when the counting space is singular
Symplectic geometry extracts information from families of curves, but those families can be too singular for ordinary counting to work.
The storyNumber theory2026
Tame geometry reveals hidden arithmetic structure
An idea from mathematical logic helps distinguish exceptional arithmetic patterns from the ordinary points of complicated geometric parameter spaces.
The storyAnalysis & PDEs2026
How much space do all directions require?
A collection containing a unit line segment in every direction can have zero volume, yet its fractal dimension remains constrained.
The story