Mathematics

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

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

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

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

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

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

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

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

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