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Ben Brubaker

Staff Writer

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A New Complexity Theory for the Quantum Age

February 17, 2026

Henry Yuen is developing a new mathematical language to describe problems whose inputs and outputs aren’t ordinary numbers.

Why There’s No Single Best Way To Store Information

January 16, 2026

The math of data structures helps us understand how different storage systems come with different trade-offs between resources such as time and memory.

Distinct AI Models Seem To Converge On How They Encode Reality

January 7, 2026

Is the inside of a vision model at all like a language model? Researchers argue that as the models grow more powerful, they may be converging toward a singular “Platonic” way to represent the world.

‘Reverse Mathematics’ Illuminates Why Hard Problems Are Hard

December 1, 2025

Researchers have used metamathematical techniques to show that certain theorems that look superficially distinct are in fact logically equivalent.

The Game Theory of How Algorithms Can Drive Up Prices

October 22, 2025

Recent findings reveal that even simple pricing algorithms can make things more expensive.

To Understand AI, Watch How It Evolves

September 24, 2025

Naomi Saphra thinks that most research into language models focuses too much on the finished product. She’s mining the history of their training for insights into why these systems work the way they do.

Busy Beaver Hunters Reach Numbers That Overwhelm Ordinary Math

August 22, 2025

The quest to find the longest-running simple computer program has identified a new champion. It’s physically impossible to write out the numbers involved using standard mathematical notation.

New Method Is the Fastest Way To Find the Best Routes

August 6, 2025

A canonical problem in computer science is to find the shortest route to every point in a network. A new approach beats the classic algorithm taught in textbooks.

Quantum Scientists Have Built a New Math of Cryptography

July 25, 2025

In theory, quantum physics can bypass the hard mathematical problems at the root of modern encryption. A new proof shows how.