At 28, Peter Scholze is uncovering deep connections between number theory and geometry.

# Articles tagged hyperbolic geometry

### Sphere Packing Solved in Higher Dimensions

The Ukrainian mathematician Maryna Viazovska has solved the centuries-old sphere-packing problem in dimensions eight and 24.

### A Tenacious Explorer of Abstract Surfaces

Maryam Mirzakhani has become the first woman Fields medalist for drawing deep connections between topology, geometry and dynamical systems.

### Getting Into Shapes: From Hyperbolic Geometry to Cube Complexes and Back

Thirty years after William Thurston articulated a grand mathematical vision, a proof by Ian Agol marks the end of an era in the study of three-dimensional shapes.