Probability & dynamics2022
When local randomness becomes collective order
Random connections or microscopic spins can suddenly organize at a critical threshold, creating large-scale behavior invisible in any single component.
The storyAn award edition
2022
Different contributions. A shared moment in mathematics.
4 medalists — explore each contribution below.
Combinatorics2022
Geometry hidden inside counting sequences
Numbers obtained by counting finite configurations often rise and fall regularly; geometric ideas explain why certain patterns cannot fluctuate arbitrarily.
The storyNumber theory2022
Finding clusters in the sparse prime numbers
Primes become rarer as numbers grow, yet carefully designed sieve weights reveal infinitely many intervals containing several of them together.
The storyGeometry & topology2022
A perfect certificate for eight-dimensional sphere packing
The E8 lattice looks extraordinarily efficient, but proving optimality requires ruling out every competing arrangement, including irregular and nonperiodic packings.
The story