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# polynomials

## Latest Articles

### ‘Magical’ Error Correction Scheme Proved Inherently Inefficient

Locally correctable codes need barely any information to fix errors, but they’re extremely long. Now we know that the simplest versions can’t get any shorter.

### He Dropped Out to Become a Poet. Now He’s Won a Fields Medal.

June Huh wasn’t interested in mathematics until a chance encounter during his sixth year of college. Now his profound insights connecting combinatorics and geometry have led to math’s highest honor.

### The Sordid Past of the Cubic Formula

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

### New Proof Illuminates the Hidden Structure of Common Equations

Van der Waerden’s conjecture mystified mathematicians for 85 years. Its solution shows how polynomial roots relate to one another.

### Machine Learning Becomes a Mathematical Collaborator

Two recent collaborations between mathematicians and DeepMind demonstrate the potential of machine learning to help researchers generate new mathematical conjectures.

### Mathematicians Prove 30-Year-Old André-Oort Conjecture

A team of mathematicians has solved an important question about how solutions to polynomial equations relate to sophisticated geometric objects called Shimura varieties.

### Mathematicians Find Structure in Biased Polynomials

New work establishes a tighter connection between the rank of a polynomial and the extent to which it favors particular outputs.

### Surprising Limits Discovered in Quest for Optimal Solutions

Algorithms that zero in on solutions to optimization problems are the beating heart of machine reasoning. New results reveal surprising limits.

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

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.