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The Journey to Define Dimension

By David S. Richeson
September 13, 2021
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The concept of dimension seems simple enough, but mathematicians struggled for centuries to precisely define and understand it.

topology

New Math Book Rescues Landmark Topology Proof

By Kevin Hartnett
September 9, 2021
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Michael Freedman’s momentous 1981 proof of the four-dimensional Poincaré conjecture was on the verge of being lost. The editors of a new book are trying to save it.

Photo of Karen Miga of the University of California, Santa Cruz, with a representation of chromosomes in the background.
Q&A

Karen Miga Fills In the Missing Pieces of Our Genome

By Carrie Arnold
September 8, 2021
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Driven by her fascination with highly repetitive, hard-to-read parts of our DNA, Karen Miga led a coalition of researchers to finish sequencing the human genome after almost two decades.

quantum gravity

One Lab’s Quest to Build Space-Time Out of Quantum Particles

By Adam Becker
September 7, 2021
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For over two decades, physicists have pondered how the fabric of space-time may emerge from some kind of quantum entanglement. In Monika Schleier-Smith’s lab at Stanford University, the thought experiment is becoming real.

Illustration of a neuron lit up with electrical signals.
neurons

How Computationally Complex Is a Single Neuron?

By Allison Whitten
September 2, 2021
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Computational neuroscientists taught an artificial neural network to imitate a biological neuron. The result offers a new way to think about the complexity of single brain cells.

Illustration of DNA that represents how only a small part of the genome encodes proteins.
explainers

The Complex Truth About ‘Junk DNA’

By Jake Buehler
September 1, 2021
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Genomes hold immense quantities of noncoding DNA. Some of it is essential for life, some seems useless, and some has its own agenda.

Illustration of various kinds of clocks floating against a pink background.
quantum information theory

The New Thermodynamic Understanding of Clocks

By Natalie Wolchover
August 31, 2021
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Investigations of the simplest possible clocks have revealed their fundamental limitations — as well as insights into the nature of time itself.

Artist’s conception of DNA breaking.
neuroscience

To Learn More Quickly, Brain Cells Break Their DNA

By Jordana Cepelewicz
August 30, 2021
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New work shows that neurons and other brain cells use DNA double-strand breaks, often associated with cancer, neurodegeneration and aging, to quickly express genes related to learning and memory.

An orange ball decomposing into points and rematerializing as two balls, each the same size as the first.
explainers

Banach-Tarski and the Paradox of Infinite Cloning

By Max G. Levy
August 26, 2021
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One of the strangest results in mathematics explains how it’s possible to turn one sphere into two identical copies, simply by rearranging its pieces.


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