Number theory1970
Turning an equation into a finite search
Lower bounds for nonzero combinations of logarithms can place explicit limits on certain integer solutions.
The storyAn award edition
1970
Different contributions. A shared moment in mathematics.
4 medalists — explore each contribution below.
Algebraic geometry1970
Replacing a singular space with a smooth model
Carefully chosen modifications can separate geometric behaviour that has become tangled at singular points.
The storyGeometry & topology1970
What survives a change of smooth structure
Some invariants built using tangent bundles turn out to depend only on the underlying topological manifold.
The storyAlgebra & representation1970
A powerful restriction on finite symmetry
The odd-order theorem rules out nonabelian simple groups with an odd number of elements.
The story