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# Mathematics

## Latest Articles

### A Number Theorist Who Solves the Hardest Easy Problems

In his rapid ascent to the top of his field, James Maynard has cut a path through simple-sounding questions about prime numbers that have stumped mathematicians for centuries.

### The Tricky Math of Herd Immunity for COVID-19

Herd immunity differs from place to place, and many factors influence how it’s calculated.

### New Geometric Perspective Cracks Old Problem About Rectangles

While locked down due to COVID-19, Joshua Greene and Andrew Lobb figured out how to prove a version of the “rectangular peg problem.”

### The Two Forms of Mathematical Beauty

Mathematicians typically appreciate either generic or exceptional beauty in their work, but one type is more useful in describing the universe.

### The ‘Useless’ Perspective That Transformed Mathematics

Representation theory was initially dismissed. Today, it’s central to much of mathematics.

### In a Single Measure, Invariants Capture the Essence of Math Objects

To distinguish between fundamentally different objects, mathematicians turn to invariants that encode the objects’ essential features.

### In Mathematics, It Often Takes a Good Map to Find Answers

Mathematicians try to figure out when problems can be solved using current knowledge — and when they have to chart a new path instead.

### Symbolic Mathematics Finally Yields to Neural Networks

After translating some of math’s complicated equations, researchers have created an AI system that they hope will answer even bigger questions.

### Graduate Student Solves Decades-Old Conway Knot Problem

It took Lisa Piccirillo less than a week to answer a long-standing question about a strange knot discovered over half a century ago by the legendary John Conway.