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Mathematics

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algorithms

New Algorithm Breaks Speed Limit for Solving Linear Equations

By Kevin Hartnett
March 8, 2021
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By harnessing randomness, a new algorithm achieves a fundamentally novel — and faster — way of performing one of the most basic computations in math and computer science.

Quantized Columns

Isadore Singer Transcended Mathematical Boundaries

By Daniel S. Freed
March 4, 2021
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A former graduate student reflects on how Isadore Singer, who died on February 11, brought together mathematicians, physicists and anyone else interested in the deeper connections between diverse fields.

A house of cards propped up by a letter i, the unit of imaginary numbers.
quantum physics

Imaginary Numbers May Be Essential for Describing Reality

By Charlie Wood
March 3, 2021
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A new thought experiment indicates that quantum mechanics doesn’t work without strange numbers that turn negative when squared.

An illustration showing Steven Strogatz at a microphone, surrounded by a swirl of icons representing different subjects.
The Joy of x

New Season of The Joy of x Podcast Explores Scientists’ Inner Lives

By Ellen Horne
March 2, 2021
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In a second season of enlightened conversations, Steven Strogatz and leading researchers nourish our pandemic-starved minds.

geometry

Statistics Postdoc Tames Decades-Old Geometry Problem

By Erica Klarreich
March 1, 2021
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To the surprise of experts in the field, a postdoctoral statistician has solved one of the most important problems in high-dimensional convex geometry.

An illustration of a doughnut-shaped elliptic curve intertwined with the Julia set.
number theory

Mathematicians Set Numbers in Motion to Unlock Their Secrets

By Kelsey Houston-Edwards
February 22, 2021
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A new proof demonstrates the power of arithmetic dynamics, an emerging discipline that combines insights from number theory and dynamical systems.

Po-Shen Loh standing on a stairway in front of a colored wall outside of his office in Pittsburgh.
Q&A

The Coach Who Led the U.S. Math Team Back to the Top

By Max G. Levy
February 16, 2021
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Po-Shen Loh has harnessed his competitive impulses and iconoclastic tendencies to reinvigorate the U.S. Math Olympiad program.

Insights puzzle

Zen and the Art of Puzzle Solving

By Pradeep Mutalik
February 10, 2021
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Sometimes the act of solving a puzzle can itself reveal hidden insights.

Abstractions blog

Undergraduates Hunt for Special Tetrahedra That Fit Together

By Kevin Hartnett
February 9, 2021
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A group of MIT undergraduates is searching for tetrahedra that tile space, the latest effort in a millennia-long inquiry. They’ve already made a new discovery.


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