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# Mathematics

## Latest Articles

### Number of Distances Separating Points Has a New Bound

Mathematicians have struggled to prove Falconer’s Conjecture, a simple, but far-reaching, hypothesis about the distances between points. They’re finally getting close.

### Merging Fields, Mathematicians Go the Distance on Old Problem

Mathematicians have illuminated what sets of points can look like if the distances between them are all whole numbers.

### Topologists Tackle the Trouble With Poll Placement

Mathematicians are using topological abstractions to find places where it’s hard to vote.

### Math That Connects Where We’re Going to Where We’ve Been

Recursion builds bridges between ideas from across different math classes and illustrates the power of creative mathematical thinking.

### Michel Talagrand Wins Abel Prize for Work Wrangling Randomness

The French mathematician spent decades developing a set of tools now widely used for taming random processes.

### ‘The Rest of the World Disappears’: Claire Voisin on Mathematical Creativity

The recipient of the 2024 Crafoord Prize in Mathematics discusses math as art, math as language, and math as abstract thought.

### Elliptic Curve ‘Murmurations’ Found With AI Take Flight

Mathematicians are working to fully explain unusual behaviors uncovered using artificial intelligence.

### Complex Structures Like ‘Entropy Bagels’ Emerge From Simple Rules

Simple rules in simple settings continue to puzzle mathematicians, even as they devise intricate tools to analyze them.

### Never-Repeating Tiles Can Safeguard Quantum Information

Two researchers have proved that Penrose tilings, famous patterns that never repeat, are mathematically equivalent to a kind of quantum error correction.