AI’s greatest mathematical successes have come from answers to problems posed by a mid-20th century iconoclast. By examining ...

OpenAI Group PBC revealed Saturday that an internal version of Astra, the model family it calls its next major release, ...

OpenAI's unreleased Astra model has produced what its October 2025 announcement only pretended to: genuine solutions to ten long-standing open problems in mathematics and theoretical computer science, ...

But from the perspective of research mathematicians, and especially young people who are pursuing a Ph.D. in mathematics, ...

Lilian Weng, co-founder of Thinking Machines, announced this week that she would step down from her role, citing health ...

Attackers are increasingly abandoning loud, disruptive attacks in favor of long-term, undetected infiltration. To support this shift toward stealth, malware developers are aggressively advancing their ...

The world of mathematics is full of unreachable corners, where unsolvable problems live. Now, yet another has been exposed. In 1900, the eminent mathematician David Hilbert announced a list of 23 key ...

This will run on Python 3.x. This fan-made program is dedicated to the Turing Machine boardgame, released by Le Scorpion Masqué in 2022. It will generate new, unofficial, Problems for the game (either ...

It is a well-known story that theoretical computer science and biology have been drawing inspiration from each other for decades. While computer science has tried to mimic the functioning of living ...

An exclusive conversation with Ilya Sutskever on his fears for the future of AI and why they’ve made him change the focus of his life’s work. Ilya Sutskever, head bowed, is deep in thought. His arms ...

Quaternionic quantum theory is an extension of the standard complex quantum theory. Inspired by this, we study the quaternionic quantum computation using quaternions. We first develop a theory of ...