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2018 Fields Medal and Nevanlinna Prize Winners

A Master of Numbers and Shapes Who Is Rewriting Arithmetic

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.”


The Oracle of Arithmetic

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

number theory

Mathematicians Chase Moonshine’s Shadow

Researchers are on the trail of a mysterious connection between number theory, algebra and string theory.