We’re releasing a broad range of new mathematical results produced by an internal frontier model.
We’ve been consulting with the independent Advisory Group on Mathematics and Artificial Intelligence at the Institute for Advanced Study, and we have drawn on their advice and public recommendations to inform how we release these results.
https://t.co/7N6TPlft1P
Congratulations to David Kazhdan and Joseph Bernstein for receiving the 2026 Wolf Prize in Mathematics “for foundational work on representation theory, automorphic forms and algebraic geometry, and their role in creating geometric representation theory.”
Pavel Etingof is one of my favorite mathematician who does a lot of work in mathematical physics, and recently has published ''Mathematical Ideas and Notions of Quantum Mechanics'' (AMS), a book which presents quantum field theory ''in a mathematically motivated manner, highlighting its connections with various fields of mathematics''.
What's even better, is that there is available on arXiv, a set of extended lecture notes by Mr. Etingof based on text that you should definitely check out.
As the author states, this book is not an introduction to QFT, and the reader should also read the introductions by Schwartz and Peskin-Schroeder.
🔗👇👇
Very nice!! GPT 5.6 has broken the record on large gaps between primes.
The new bound saves a factor of ≈ log_3(n) over the prior record by Ford-Green-Konyagin-Maynard-Tao from 2018. The result is also now formalized by Alexeev in Lean.