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Mathematics

Latest Articles

Mathematician Lauren Williams standing in front of a whiteboard that has mathematics written on it.
combinatorics

A Mathematician’s Unanticipated Journey Through the Physical World

By Kevin Hartnett
December 16, 2020
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Lauren Williams has charted an adventurous mathematical career out of the pieces of a fundamental object called the positive Grassmannian.

Abstractions blog

How the Slowest Computer Programs Illuminate Math’s Fundamental Limits

By John Pavlus
December 10, 2020
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The goal of the “busy beaver” game is to find the longest-running computer program. Its pursuit has surprising connections to some of the most profound questions and concepts in mathematics.

Illustration of a black goat with a red leash, grazing at the intersection of two circles
geometry

After Centuries, a Seemingly Simple Math Problem Gets an Exact Solution

By Steve Nadis
December 9, 2020
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Mathematicians have long pondered the reach of a grazing goat tied to a fence, only finding approximate answers until now.

Q&A

The Computer Scientist Who Shrinks Big Data

By Allison Whitten
December 7, 2020
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Jelani Nelson designs clever algorithms that only have to remember slivers of massive data sets. He also teaches kids in Ethiopia how to code.

Photo of Ashwin Sah standing in front of a sculpture in a park
Abstractions blog

Undergraduate Math Student Pushes Frontier of Graph Theory

By Kevin Hartnett
November 30, 2020
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At 21, Ashwin Sah has produced a body of work that senior mathematicians say is nearly unprecedented for a college student.

Insights puzzle

How to Solve Our Three John Conway-Inspired Puzzles

By Pradeep Mutalik
November 20, 2020
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A numerical puzzle, a geometric puzzle and a game of random patterns — all with connections to the legendary mathematician — elicited an enthusiastic response from readers.

Quantized Academy

Some Math Problems Seem Impossible. That Can Be a Good Thing.

By Patrick Honner
November 18, 2020
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Struggling with math problems that can’t be solved helps us better understand the ones we can.

Q&A

Searching Symbols for the Rules of Change

By Rachel Crowell
November 17, 2020
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Bryna Kra searches for the patterns in sequences of numbers that explain how complicated dynamical systems evolve over time.

Black and white historical photo of eight men in front of a building, including Henri Cartan, André Weil and Szolem Mandelbrojt.
Abstractions blog

Inside the Secret Math Society Known Simply as Nicolas Bourbaki

By Kevin Hartnett
November 9, 2020
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For almost a century, the anonymous members of Nicolas Bourbaki have written books intended as pure expressions of mathematical thought.


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