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Algebraic geometry

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A Mathematician Dancing Between Algebra and Geometry

November 22, 2022

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.

How Mathematical Curves Enable Advanced Communication

September 19, 2022

A simple geometric idea has been used to power advances in information theory, cryptography and even blockchain technology.

Old Problem About Mathematical Curves Falls to Young Couple

August 25, 2022

Eric Larson and Isabel Vogt have solved the interpolation problem — a centuries-old question about some of the most basic objects in geometry. Some credit goes to the chalkboard in their living room.

He Dropped Out to Become a Poet. Now He’s Won a Fields Medal.

July 5, 2022

June Huh wasn’t interested in mathematics until a chance encounter during his sixth year of college. Now his profound insights connecting combinatorics and geometry have led to math’s highest honor.

New Shape Opens ‘Wormhole’ Between Numbers and Geometry

July 19, 2021

Laurent Fargues and Peter Scholze have found a new, more powerful way of connecting number theory and geometry as part of the sweeping Langlands program.

A Mathematician’s Unanticipated Journey Through the Physical World

December 16, 2020

Lauren Williams has charted an adventurous mathematical career out of the pieces of a fundamental object called the positive Grassmannian.

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Conducting the Mathematical Orchestra From the Middle

September 2, 2020

Emily Riehl is rewriting the foundations of higher category theory while also working to make mathematics more inclusive.

The Map of Mathematics

February 13, 2020

Explore our surprisingly simple, absurdly ambitious and necessarily incomplete guide to the boundless mathematical universe.

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