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Emmy Murphy Is a Mathematician Who Finds Beauty in Flexibility
The prize-winning geometer feels most fulfilled when exploring the fertile ground where constraint meets creation.
Mathematicians Discover the Fibonacci Numbers Hiding in Strange Spaces
Recent explorations of unique geometric worlds reveal perplexing patterns, including the Fibonacci sequence and the golden ratio.
Mathematicians Transcend Geometric Theory of Motion
More than 30 years ago, Andreas Floer changed geometry. Now, two mathematicians have finally figured out how to extend his revolutionary perspective.
How Physics Found a Geometric Structure for Math to Play With
Symplectic geometry is a relatively new field with implications for much of modern mathematics. Here’s what it’s all about.
The Map of Mathematics
Explore our surprisingly simple, absurdly ambitious and necessarily incomplete guide to the boundless mathematical universe.
Three Decades Later, Mystery Numbers Explained
Zeta values seem to connect distant geometric worlds. In a new proof, mathematicians finally explain why.
Mathematicians Explore Mirror Link Between Two Geometric Worlds
Decades after physicists happened upon a stunning mathematical coincidence, researchers are getting close to understanding the link between two seemingly unrelated geometric universes.
The Hidden Twist to Making a Möbius Strip
The simple Möbius strip illustrates a deep mathematical challenge that has long tormented the field of symplectic geometry.
A Fight to Fix Geometry’s Foundations
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.