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symplectic geometry

Latest Articles

geometry

Mathematicians Discover the Fibonacci Numbers Hiding in Strange Spaces

By Leila Sloman
October 17, 2022
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Recent explorations of unique geometric worlds reveal perplexing patterns, including the Fibonacci sequence and the golden ratio.

geometry

Mathematicians Transcend Geometric Theory of Motion

By Kelsey Houston-Edwards
December 9, 2021
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More than 30 years ago, Andreas Floer changed geometry. Now, two mathematicians have finally figured out how to extend his revolutionary perspective.

Abstractions blog

How Physics Found a Geometric Structure for Math to Play With

By Kevin Hartnett
July 29, 2020
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Symplectic geometry is a relatively new field with implications for much of modern mathematics. Here’s what it’s all about.

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 "Three Decades Later, Mystery Numbers Explained"
Abstractions blog

Three Decades Later, Mystery Numbers Explained

By Kevin Hartnett
May 3, 2018
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Zeta values seem to connect distant geometric worlds. In a new proof, mathematicians finally explain why.

Illustration for "Mathematicians Explore Mirror Link Between Two Geometric Worlds"
geometry

Mathematicians Explore Mirror Link Between Two Geometric Worlds

By Kevin Hartnett
April 9, 2018
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Decades after physicists happened upon a stunning mathematical coincidence, researchers are getting close to understanding the link between two seemingly unrelated geometric universes.

Mobius strip illustration
Abstractions blog

The Hidden Twist to Making a Möbius Strip

By Kevin Hartnett
February 9, 2017
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The simple Möbius strip illustrates a deep mathematical challenge that has long tormented the field of symplectic geometry.

geometry

A Fight to Fix Geometry’s Foundations

By Kevin Hartnett
February 9, 2017
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When two mathematicians raised pointed questions about a classic proof that no one really understood, they ignited a years-long debate about how much could be trusted in a new kind of geometry.

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