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topology

Latest Articles

Abstractions blog

Math After COVID-19

By Kevin Hartnett
April 28, 2020
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Modern mathematics relies on collaboration and travel. COVID-19 is making it increasingly difficult.

Black and white photo of John Conway against a black background
Abstractions blog

John Conway Solved Mathematical Problems With His Bare Hands

By Kevin Hartnett
April 20, 2020
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The legendary mathematician, who died on April 11, was curious, colorful and one of the greatest problem-solvers of his generation.

Photo of two mathematicians drawing on a chalkboard
topology

Mathematics as a Team Sport

By Kevin Hartnett
March 31, 2020
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When 50 mathematicians spend a week in the woods, there’s no telling what will happen. And that’s the point.

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.

Photo of a complicated knot.
Abstractions blog

Color-Changing Material Unites the Math and Physics of Knots

By Devin Powell
February 10, 2020
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Mathematicians have studied knots for centuries, but a new material is showing why some knots are better than others.

Animation showing two sets of tangrams cycling between identical squares and different shapes.
geometry

Mathematicians Cut Apart Shapes to Find Pieces of Equations

By Kevin Hartnett
October 31, 2019
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New work on the problem of “scissors congruence” explains when it’s possible to slice up one shape and reassemble it as another.

foundations of mathematics

With Category Theory, Mathematics Escapes From Equality

By Kevin Hartnett
October 10, 2019
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Two monumental works have led many mathematicians to avoid the equal sign. The process has not always gone smoothly.

Art for "Möbius Strips Defy a Link With Infinity"
topology

Möbius Strips Defy a Link With Infinity

By Evelyn Lamb
February 20, 2019
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A new proof shows why an uncountably infinite number of Möbius strips will never fit into a three-dimensional space.

Art for "Scientists Learn the Ropes on Tying Molecular Knots"
chemistry

Scientists Learn the Ropes on Tying Molecular Knots

By Jordana Cepelewicz
October 29, 2018
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As chemists tie the most complicated molecular knot yet, biophysicists create a “periodic table” that describes what kinds of knots are possible.


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