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Abstractions blog

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An illustration of a knot that mathematicians might study using tools called invariants.
Abstractions blog

In a Single Measure, Invariants Capture the Essence of Math Objects

By Erica Klarreich
June 2, 2020
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To distinguish between fundamentally different objects, mathematicians turn to invariants that encode the objects’ essential features.

Photo of various colorful maps
Abstractions blog

In Mathematics, It Often Takes a Good Map to Find Answers

By Kevin Hartnett
June 1, 2020
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Mathematicians try to figure out when problems can be solved using current knowledge — and when they have to chart a new path instead.

Lines representing paths of particles fan out from a point and pass through a series of detectors.
Abstractions blog

Growing Anomalies at the Large Hadron Collider Raise Hopes

By Charlie Wood
May 26, 2020
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Collider physicists report that several measurements of particles called B mesons deviate from predictions. Alone, each oddity looks like a fluke, but their collective drift is more suggestive.

Stalks and spore bodies of a slime mold rise above a smooth surface.
Abstractions blog

Out-of-Sync ‘Loners’ May Secretly Protect Orderly Swarms

By Jordana Cepelewicz
May 21, 2020
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Studies of collective behavior usually focus on how crowds of organisms coordinate their actions. But what if the individuals that don’t participate have just as much to tell us?

A baby lizard emerging from a transparent egg membrane.
Abstractions blog

Egg Laying or Live Birth: How Evolution Chooses

By Dana Najjar
May 18, 2020
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A lizard that both lays eggs and gives birth to live young is helping scientists understand how and why these forms of reproduction evolved.

A quantum knot.
Abstractions blog

‘Milestone’ Evidence for Anyons, a Third Kingdom of Particles

By Dana Najjar
May 12, 2020
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Anyons don’t fit into either of the two known particle kingdoms. To find them, physicists had to erase the third dimension.

Three particles moving closer together then farther apart. The region between them appears in green.
Abstractions blog

What Goes On in a Proton? Quark Math Still Conflicts With Experiments.

By Charlie Wood
May 6, 2020
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Two ways of approximating the ultra-complicated math that governs quark particles have recently come into conflict, leaving physicists unsure what their decades-old theory predicts.

Computer model of SARS-CoV-2 spike protein.
Abstractions blog

Sugary Camouflage on Coronavirus Offers Vaccine Clues

By Jordana Cepelewicz
May 5, 2020
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In the fight against viruses and other pathogens, scientists are looking beyond genes and proteins to the complex sugars, or glycans, on cell surfaces.

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.


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