What's up in

Mathematics

geometry

Random Surfaces Hide an Intricate Order

Mathematicians have proved that a random process applied to a random surface will yield consistent patterns.

Art for "A 53-Year-Old Network Coloring Conjecture Is Disproved"
graph theory

A 53-Year-Old Network Coloring Conjecture Is Disproved

In just three pages, a Russian mathematician has presented a better way to color certain types of networks than many experts thought possible.

Q&A

A Mathematician Whose Only Constant Is Change

Amie Wilkinson searches for exotic examples of the mathematical structures that describe change.

Illustration of Fermat's Last Theorem
Quantized Columns

Why the Proof of Fermat’s Last Theorem Doesn’t Need to Be Enhanced

Decades after the landmark proof of Fermat’s Last Theorem, ideas abound for how to make it even more reliable. But such efforts reflect a deep misunderstanding of what makes the proof so important.

Art for "How Geometry, Data and Neighbors Predict Your Favorite Movies"
Quantized Academy

How Geometry, Data and Neighbors Predict Your Favorite Movies

A little high school geometry can help you understand the basic math behind movie recommendation engines.

Art for "How Feynman Diagrams Revolutionized Physics"
sphere packing

Out of a Magic Math Function, One Solution to Rule Them All

Mathematicians used “magic functions” to prove that two highly symmetric lattices solve a myriad of problems in eight- and 24-dimensional space.

Art for "The Subtle Art of the Mathematical Conjecture"
Quantized Columns

The Subtle Art of the Mathematical Conjecture

It’s an educated guess, not a proof. But a good conjecture will guide math forward, pointing the way into the mathematical unknown.

Art for "Universal Pattern Explains Why Materials Conduct"
mathematical physics

Universal Pattern Explains Why Materials Conduct

Mathematicians have found that materials conduct electricity when electrons follow a universal mathematical pattern.

Art for "A New Approach to Multiplication Opens the Door to Better Quantum Computers"
Abstractions blog

A New Approach to Multiplication Opens the Door to Better Quantum Computers

Quantum computers can’t selectively forget information. A new algorithm for multiplication shows a way around that problem.