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# Mathematics

## Latest Articles

### The Simple Math Problem We Still Can’t Solve

Despite recent progress on the notorious Collatz conjecture, we still don’t know whether a number can escape its infinite loop.

### At the Math Olympiad, Computers Prepare to Go for the Gold

Computer scientists are trying to build an AI system that can win a gold medal at the world’s premier math competition.

### A New Algorithm for Graph Crossings, Hiding in Plain Sight

Two computer scientists found — in the unlikeliest of places — just the idea they needed to make a big leap in graph theory.

### When Math Gets Impossibly Hard

Mathematicians have long grappled with the reality that some problems just don’t have solutions.

### Mathematicians Open a New Front on an Ancient Number Problem

For millennia, mathematicians have wondered whether odd perfect numbers exist, establishing an extraordinary list of restrictions for the hypothetical objects in the process. Insight on this question could come from studying the next best things.

### Conducting the Mathematical Orchestra From the Middle

Emily Riehl is rewriting the foundations of higher category theory while also working to make mathematics more inclusive.

### Mathematicians Report New Discovery About the Dodecahedron

Three mathematicians have resolved a fundamental question about straight paths on the 12-sided Platonic solid.

### How Close Are Computers to Automating Mathematical Reasoning?

AI tools are shaping next-generation theorem provers, and with them the relationship between math and machine.

### Computer Scientists Attempt to Corner the Collatz Conjecture

A powerful technique called SAT solving could work on the notorious Collatz conjecture. But it’s a long shot.