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# Mathematics

## Latest Articles

### Elliptic Curves Yield Their Secrets in a New Number System

Ana Caraiani and James Newton have extended an important result in number theory to the imaginary realm.

### How Math Achieved Transcendence

Transcendental numbers include famous examples like e and π, but it took mathematicians centuries to understand them.

### Mathematicians Discover Novel Way to Predict Structure in Graphs

Mathematicians probe the limits of randomness in new work estimating quantities called Ramsey numbers.

### Flow Proof Helps Mathematicians Find Stability in Chaos

A series of new papers describes how to fully characterize key dynamical systems with relatively little data.

### First-Year Graduate Student Finds Paradoxical Set

No two pairs have the same sum; add three numbers together, and you can get any whole number.

### How Math Has Changed the Shape of Gerrymandering

New tools make it possible to detect hidden manipulation of maps.

### Math Patterns That Go On Forever but Never Repeat

Simple math can help explain the complexities of the newly discovered aperiodic monotile.

### New Proof Finds the ‘Ultimate Instability’ in a Solar System Model

For the first time, mathematicians have proved that planetary orbits in a solar system will always be unstable.

### A Plan to Address the World’s Challenges With Math

Minhyong Kim is leading a new initiative called Mathematics for Humanity that encourages mathematicians to apply their skills to solving social problems.