FOR IMMEDIATE RELEASE: October 6th, 2026 OpenAI Releases the Final Ten Minutes of 500 Previously Unreleased Films, Ushering in a New Era of Movie Watching

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A public registry of Lean-verified mathematical results.

Read discoveries for Inverse Galois Problem (IGP24). IGP24, the Inverse Galois Problem in Degree 24. This is a mathematical discovery challenge: we are asking...

The Modular Arithmetic Challenge asks a deceptively simple question — can a neural network learn to compute (a × b) mod p for integers hundreds of digits long...

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The “Mozart of mathematics” invites readers on a brief tour of six core ideas—numbers, algebra, geometry, probability, analysis, and dynamics—that ca...

Climbing the cosmic distance ladder Tanya Klowden and Terence Tao in preparation This project is based on a public lecture on the cosmic distance ladder that I have given on occasion. Working with …

AlphaEvolve is a generic evolutionary coding agent that combines the generative capabilities of LLMs with automated evaluation in an iterative evolutionary framework that proposes, tests, and refines ...

I believe that with the advent of modern online collaboration platforms (such as Github), proof assistant languages (such as Lean), and (potentially) AI tools, there are many emerging opportunities...

Here is a first proof-of-concept demonstration of an actual outcome for the erdosproblems/OEIS linkage project. There are a number of Erdos problems relating to irrationality of specific series. I ask...

The “Mozart of Math” tried to stay out of politics. Then it came for his research.

The current administration in the US has, through various funding agencies such as the NSF and NIH, has recently suspended virtually all federal grants to my home university, UCLA (including my own p...

It is tempting to view the capability of current AI technology as a singular quantity: either a given task X is within the ability of current tools, or it is not. However, there is in fact a very wid...

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YouTube video by Terence Tao

YouTube video by Terence Tao

YouTube video by Terence Tao

YouTube video by Terence Tao

Today, the President’s Council of Advisors on Science and Technology (PCAST) released recommendations to promote the development of public policies that are informed by scientific understandings and c...

We study sets of $δ$ tubes in $\mathbb{R}^3$, with the property that not too many tubes can be contained inside a common convex set $V$. We show that the union of tubes from such a set must have almos...

This paper introduces a novel method to account for quantum disorder effects into the classical drift-diffusion model of semiconductor transport through the localization landscape theory. Quantum conf...

I recently returned from the 2025 Annual Meeting of the “Localization of Waves” collaboration (supported by the Simons Foundation, with additional related support from the NSF), where I…

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As researchers representing universities across the country, the last few weeks have been filled with uncertainty. As you are aware, the Trump administration’s National Institutes of Health (NIH) prop...