“If you are a mathematician,” one of the world’s leading mathematicians recently wrote, “you may want to make sure you are sitting down before reading further.” And you’ll definitely need to sit down ...

Last week, OpenAI shocked the mathematical community by revealing that one of its internal artificial intelligence (AI) models had found a counterexample to a famous conjecture made by legendary ...

OpenAI claims its new reasoning model has produced an original mathematical proof disproving a famous unsolved conjecture in geometry, which was first posed by Paul Erdős in 1946. If this sounds ...

We’ve been discussing simplifying protocol designs for decades. And yet, a phase III protocol today collects nearly 6 million data points on average; a figure that’s been climbing by roughly 11% ...

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In this episode of our abandoned watermill renovation in Portugal, we make a significant design change to our turret bathroom by adding a bold splash of color. Initially planning to tile the entire ...

Terraform scales beautifully — until it doesn't. Explore the real challenges engineering teams face with Terraform at scale and the AI-assisted solutions reshaping IaC management. Terraform promised ...

Executives are increasingly enamored with the promise of an AI-driven transformation and have invested accordingly. Most large-scale companies have initiated hundreds of pilots and provided widespread ...

Computer science, at its most fundamental, is all about inputs and outputs. Consider the simple case of multiplying two numbers on a pocket calculator. You punch in some inputs — the specific numbers ...

What are the most pressing global crises in 2026? Each year, the International Rescue Committee’s (IRC) Emergency Watchlist identifies the countries at greatest risk of new or worsening humanitarian ...

Five years ago, mathematicians Dawei Chen and Quentin Gendron were trying to untangle a difficult area of algebraic geometry involving differentials, elements of calculus used to measure distance ...