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hyperbolic geometry

Photo of Dr. Peter Scholze
2018 Fields Medal and Nevanlinna Prize

A Master of Numbers and Shapes Who Is Rewriting Arithmetic

August 1, 2018

The 30-year-old math sensation Peter Scholze is now one of the youngest Fields medalists for “the revolution that he launched in arithmetic geometry.”

Maryam Mirzakhani
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The Beautiful Mathematical Explorations of Maryam Mirzakhani

July 24, 2017

After her untimely death, Maryam Mirzakhani’s life is best remembered through her work.

profile

The Oracle of Arithmetic

June 28, 2016

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

geometry

Sphere Packing Solved in Higher Dimensions

March 30, 2016

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

2014 Fields Medal and Nevanlinna Prize

A Tenacious Explorer of Abstract Surfaces

August 12, 2014

Maryam Mirzakhani, who became the first woman Fields medalist for drawing deep connections between topology, geometry and dynamical systems, has died of cancer at the age of 40. This is our 2014 profile of her life and work.

Mathematics

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

October 2, 2012

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.