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# Algebra

## Latest Articles

### How Isaac Newton Discovered the Binomial Power Series

August 31, 2022

Rethinking questions and chasing patterns led Newton to find the connection between curves and infinite sums.

### Old Problem About Mathematical Curves Falls to Young Couple

August 25, 2022

Eric Larson and Isabel Vogt have solved the interpolation problem — a centuries-old question about some of the most basic objects in geometry. Some credit goes to the chalkboard in their living room.

### The Sordid Past of the Cubic Formula

June 30, 2022

The quest to solve cubic equations led to duels, betrayals — and modern mathematics.

### What Is the Langlands Program?

June 1, 2022

The Langlands program provides a beautifully intricate set of connections between various areas of mathematics, pointing the way toward novel solutions for old problems.

### How Infinite Series Reveal the Unity of Mathematics

January 24, 2022

Infinite sums are among the most underrated yet powerful concepts in mathematics, capable of linking concepts across math’s vast web.

### The Simple Math Behind the Mighty Roots of Unity

September 23, 2021

Solutions to the simplest polynomial equations — called “roots of unity” — have an elegant structure that mathematicians still use to study some of math’s greatest open questions.

### How to Find Rational Points Like Your Job Depends on It

July 22, 2021

Using high school algebra and geometry, and knowing just one rational point on a circle or elliptic curve, we can locate infinitely many others.

### Mathematician Disproves 80-Year-Old Algebra Conjecture

April 12, 2021

Inside the symmetries of a crystal shape, a postdoctoral researcher has unearthed a counterexample to a basic conjecture about multiplicative inverses.

### Mathematicians Resurrect Hilbert’s 13th Problem

January 14, 2021

Long considered solved, David Hilbert’s question about seventh-degree polynomials is leading researchers to a new web of mathematical connections.

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