Analysis & PDEs1982
A space can be studied through its algebra
When multiplication remembers order, operator algebras describe structures beyond ordinary coordinate spaces.
The storyAn award edition
1982
Different contributions. A shared moment in mathematics.
3 medalists — explore each contribution below.
Geometry & topology1982
Cut a three-dimensional space into geometric pieces
A manifold can become understandable when each suitable piece is given one of a small set of model geometries.
The storyGeometry & topology1982
Find a metric with the curvature you prescribe
A nonlinear equation turns a geometric compatibility condition into the existence of a special Kähler metric.
The story