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Why the Brain’s Connections to the Body Are Crisscrossed

By R. Douglas Fields
April 19, 2023
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In all bilaterally symmetrical animals, from humans down to simple worms, nerves cross from one side of the body to the opposite side of the brain. Geometry may explain why.

mathematical physics

A New Symmetry Shakes Up Physics

By Kevin Hartnett
April 18, 2023
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So-called “higher symmetries” are illuminating everything from particle decays to the behavior of complex quantum systems.

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Emmy Murphy Is a Mathematician Who Finds Beauty in Flexibility

By Erica Klarreich
March 27, 2023
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The prize-winning geometer feels most fulfilled when exploring the fertile ground where constraint meets creation.

The Joy of Why

Is There Math Beyond the Equal Sign?

By Steven Strogatz
March 22, 2023
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Can mathematics handle things that are essentially the same without being exactly equal? Category theorist Eugenia Cheng and host Steven Strogatz discuss the power and pleasures of abstraction.

Mathematician Lek-Heng Lim standing near some columns at the University of Chicago.
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An Applied Mathematician With an Unexpected Toolbox

By Rachel Crowell
March 1, 2023
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Lek-Heng Lim uses tools from algebra, geometry and topology to answer questions in machine learning.

a small human figure stands on a golden geometric structure while the sky is full of curving pink and purple grids
graph theory

Quantum Field Theory Pries Open Mathematical Puzzle

By Leila Sloman
February 16, 2023
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Mathematicians have struggled to understand the moduli space of graphs. A new paper uses tools from physics to peek inside.

topology

Mathematicians Eliminate Long-Standing Threat to Knot Conjecture

By Leila Sloman
February 2, 2023
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A new proof shows that a knot some thought would contradict the famed slice-ribbon conjecture doesn’t.

2022 in Review

The Year in Math

By Konstantin Kakaes
December 22, 2022
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Four Fields Medals were awarded for major breakthroughs in geometry, combinatorics, statistical physics and number theory, even as mathematicians continued to wrestle with how computers are changing the discipline.

quantum computing

After a Quantum Clobbering, One Approach Survives Unscathed

By Allison Parshall
December 7, 2022
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A quantum approach to data analysis that relies on the study of shapes will likely remain an example of a quantum advantage — albeit for increasingly unlikely scenarios.


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