Gerd Faltings, a number theorist at the Max Planck Institute for Mathematics in Bonn, Germany, has won the 2026 Abel Prize, one of the most prestigious awards in mathematics, the Norwegian Academy of ...

Gerd Faltings shocked mathematicians around the world for his 1983 proof of the Mordell conjecture, which brought together ...

Researchers at Stanford and Caltech have found some critical reasoning failures in advanced AI models. LLMs are great at recognizing patterns, but they have trouble with basic logic, social reasoning, ...

Global semiconductor sales surged to a new high in 2025, underscoring the scale and speed of the industry’s rebound. According to the European Semiconductors Industry Association (ESIA), worldwide ...

The San Francisco 49ers have been tied to a viral conspiracy in recent months, claiming their rash of injuries stems from practicing next to an electrical substation. The theory suggests ...

Again we have an ICE killing in which the Department of Homeland Security gets a story out first which, on its face, appears to describe an armed civilian in the process of committing a massacre of ...

You’ve locked in on your weight loss goals, consistently cut back on calories, and made time for daily workouts. Yet after initially losing a couple of pounds, you just can’t get that number on the ...

Mr. Berset is the secretary general of the Council of Europe. When I took my post as secretary general of the Council of Europe just over a year ago, I did not think that I would ever have to write ...

Apple has announced Apple Creator Studio, which it describes as a “groundbreaking collection of powerful creative apps designed to put studio-grade power into the hands of everyone.” Apple Creator ...

The original version of this story appeared in Quanta Magazine. All of modern mathematics is built on the foundation of set theory, the study of how to organize abstract collections of objects. But in ...