Algebra & representation1990
Symmetry can be deformed
Quantum groups change the algebra of symmetry while retaining enough structure to combine representations.
The storyAn award edition
1990
Different contributions. A shared moment in mathematics.
4 medalists — explore each contribution below.
Geometry & topology1990
Give a knot an algebraic signature
A polynomial stays fixed as a knot is deformed, turning a spatial puzzle into an algebraic comparison.
The storyAlgebraic geometry1990
Simplify an algebraic shape without losing its core
Contractions and flips reorganise three-dimensional varieties into models suited to classification.
The storyGeometry & topology1990
A field theory can recognise a knot
Chern–Simons theory gives a physical interpretation of knot invariants that depend on topology rather than local distances.
The story