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# Mathematics

## Latest Articles

### Mathematicians Marvel at ‘Crazy’ Cuts Through Four Dimensions

Topologists prove two new results that bring some order to the confoundingly difficult study of four-dimensional shapes.

### 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.

### 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.

### New Breakthrough Brings Matrix Multiplication Closer to Ideal

By eliminating a hidden inefficiency, computer scientists have come up with a new way to multiply large matrices that’s faster than ever.