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# polynomials

## Latest Articles

### 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.

### How Ancient War Trickery Is Alive in Math Today

Legend says the Chinese military once used a mathematical ruse to conceal its troop numbers. The technique relates to many deep areas of modern math research.