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hyperbolic geometry

<p>At 28, Peter Scholze is uncovering deep connections between number theory and geometry.</p>
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The Oracle of Arithmetic

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

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

<p>Maryam Mirzakhani has become the first woman Fields medalist for drawing deep connections between topology, geometry and dynamical systems.</p>
2014 Fields Medal and Nevanlinna Prize Winners

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.

<p>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.</p>
Mathematics

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.