Exact geometry emerging from random surfaces
Counting discrete configurations can uncover smooth limit shapes and shared probability laws, linking random growth with representation theory and algebraic geometry.
The storyAn award edition
Different contributions. A shared moment in mathematics.
4 medalists — explore each contribution below.
Counting discrete configurations can uncover smooth limit shapes and shared probability laws, linking random growth with representation theory and algebraic geometry.
The storyRicci flow changes a space’s geometry; controlling its singularities turned a powerful evolution equation into a solution of a century-old topological problem.
Awarded the 2006 Fields Medal; declined the medal.
The storyPrimes thin out along the number line, yet they contain equally spaced finite patterns of every possible length, as Green and Tao proved.
The storyA Brownian path is wildly irregular, yet its outer boundary has a precise fractal dimension that conformal probability methods can determine.
The story