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Why Mathematicians Study Knots

October 31, 2022

Far from being an abstract mathematical curiosity, knot theory has driven many findings in math and beyond.

The New Math of Wrinkling

September 22, 2022

A comprehensive mathematical framework treats wrinkling patterns as elegant solutions to geometric problems.

Surfaces So Different Even a Fourth Dimension Can’t Make Them the Same

June 16, 2022

For decades mathematicians have searched for a specific pair of surfaces that can’t be transformed into each other in four-dimensional space. Now they’ve found them.

Surfaces Beyond Imagination Are Discovered After Decades-Long Search

June 2, 2022

Using ideas borrowed from graph theory, two mathematicians have shown that extremely complex surfaces are easy to traverse.

How Complex Is a Knot? New Proof Reveals Ranking System That Works.

May 18, 2022

“Ribbon concordance” will let mathematicians compare knots by linking them across four-dimensional space.

Untangling Why Knots Are Important

April 6, 2022

Steven Strogatz explores the mysteries of knots with the mathematicians Colin Adams and Lisa Piccirillo.

Dennis Sullivan, Uniter of Topology and Chaos, Wins the Abel Prize

March 23, 2022

The American mathematician invented entire new ways to understand shapes and spaces.

The Year in Math and Computer Science

December 23, 2021

Mathematicians and computer scientists answered major questions in topology, set theory and even physics, even as computers continued to grow more capable.

Mathematicians Transcend Geometric Theory of Motion

December 9, 2021

More than 30 years ago, Andreas Floer changed geometry. Now, two mathematicians have finally figured out how to extend his revolutionary perspective.

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