Geometry & topology1986
Smoothness changes what four-dimensional space permits
Gauge equations detect restrictions that continuous topology alone cannot see.
The storyAn award edition
1986
Different contributions. A shared moment in mathematics.
3 medalists — explore each contribution below.
Number theory1986
When a curve has only finitely many rational points
The geometry of a curve can force a finite answer to an arithmetic question about equations.
The storyGeometry & topology1986
Classify four-dimensional spaces by topological data
New disk techniques make four-dimensional topology accessible where ordinary surgery methods fail.
The story