Applied math

Mathematicians think abstract tools from a field called symplectic geometry might help with planning missions to far-off moons and planets.

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

Landmark results in Ramsey theory and a remarkably simple aperiodic tile capped a year of mathematical delight and discovery.

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

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

Lek-Heng Lim uses tools from algebra, geometry and topology to answer questions in machine learning.

A comprehensive mathematical framework treats wrinkling patterns as elegant solutions to geometric problems.

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

Built upon the ubiquitous Fourier transform, the mathematical tools known as wavelets allow unprecedented analysis and understanding of continuous signals.