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# applied math

## Latest Articles

### Geometers Engineer New Tools to Wrangle Spacecraft Orbits

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

### Topologists Tackle the Trouble With Poll Placement

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

### The Year in Math

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

### How Math Has Changed the Shape of Gerrymandering

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

### 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.

### An Applied Mathematician With an Unexpected Toolbox

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

### The New Math of Wrinkling

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

### 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.

### How Wavelets Allow Researchers to Transform, and Understand, Data

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