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arithmetic geometry

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2022 in Review

The Year in Math

By Konstantin Kakaes
December 22, 2022
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Four Fields Medals were awarded for major breakthroughs in geometry, combinatorics, statistical physics and number theory, even as mathematicians continued to wrestle with how computers are changing the discipline.

Q&A

A Mathematician Dancing Between Algebra and Geometry

By Rachel Crowell
November 22, 2022
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Wei Ho, the first director of the Women and Mathematics program at the Institute for Advanced Study, combines algebra and geometry in her work on an ancient class of curves.

Multimedia

The Map of Mathematics

By Kevin Hartnett
February 13, 2020
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Explore our surprisingly simple, absurdly ambitious and necessarily incomplete guide to the boundless mathematical universe.

Art for "The Subtle Art of the Mathematical Conjecture"
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The Subtle Art of the Mathematical Conjecture

By Robbert Dijkgraaf
May 7, 2019
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It’s an educated guess, not a proof. But a good conjecture will guide math forward, pointing the way into the mathematical unknown.

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

A Master of Numbers and Shapes Who Is Rewriting Arithmetic

By Erica Klarreich
August 1, 2018
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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.”

Abstractions blog

Handicapping the 2018 Fields Medal

By Jeanette Kazmierczak
June 28, 2016
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Peter Scholze is a favorite to win one of the highest honors in mathematics for his contributions in number theory and geometry.

profiles

The Oracle of Arithmetic

By Erica Klarreich
June 28, 2016
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At 28, Peter Scholze is uncovering deep connections between number theory and geometry.

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