My Blog

A Mirror Test For LLMs - [image: Generated Image March 17, 2026 - 8_52PM.jpg] *In **which we propose a new measure of LLM self-awareness, test an array of recent models, find intri...

Mathematical methods and human thought in the age of AI - Tanya Klowden and I have uploaded to the arXiv our preprint “Mathematical methods and human thought in the age of AI“. This is an unabridged version of a s...

Group and semigroup puzzles and a possible Polymath project - An Artin-Tits group is a group with a finite set of generators in which every relation is of the form or for some positive integer , where and are two of t...

The Golden Rational Tetrahedra in Zome - [image: The Golden Rational Tetrahedra in Zome preview image]

Blade of the Immortal Bakumatsu Arc 07 - Act 7

Ten Years of Polymath - Ten years ago on January 27, 2009, Polymath1 was proposed by Tim Gowers and was launched on February 1, 2009. The first project was successful and it foll...

Comsos : Review - [image: Cosmos]Cosmos by Carl Sagan My rating: 5 of 5 stars Carl Sagan's beautiful words transform you to outside the earth, into the cosmos and lets you ...

Irrationality Of E - Prove that e is irrational. Problem ID: 377 (17 Oct 2010) / Difficulty: 4 star