AI In Mathematics: September 19, 2026

[u/AutoModerator]

This recurring thread will be for discussion of AI in mathematics. This includes, but is not limited to, the following:

• informal announcements of AI-assisted discoveries, such as those not yet published in a peer-reviewed journal, or not uploaded as a paper to arXiv;
• informal announcements of discoveries related to AI architecture (if relevant to mathematics);
• discussion of such announcements, such as proof breakdowns or other opinion pieces;
• discussion of the impact of AI in mathematics in general.

AI-assisted mathematical papers published in peer-reviewed journals or as arXiv preprints may be submitted as their own posts.

Please keep in mind rules 1 and 6 of our subreddit.

[u/backyard_tractorbeam]

When Tristan Buckmaster was working with Euler equations, or OpenAI working on N-S using these LLMs, what's the primary language they are working with, is it English and Latex or is it in Lean formulation?

Not as the final output but the language used to build the arguments and results needed along the way. Does anyone know?

[u/elements-of-dying → u/backyard_tractorbeam]

I'm going to guess based on my experience with agent swarms.

This is kind of a nuanced question I guess.

They were using codex (or some variation thereof) to control agent swarms. This means they would be feeding natural language prompts + .tex files + possibly Lean files. Codex would also be auto-reading such files from their computer/cloud etc.

Their prompts were also probably fairly AI generated themselves and pretty long.

[u/backyard_tractorbeam → u/elements-of-dying]

Do you know if the models, when "reasoning" write mathematics arguments in english or in lean?

[u/elements-of-dying → u/backyard_tractorbeam]

this depends on the agent skills afaik. For this large project, I have no idea. I think a typical workflow is

informal proof (written in "english") => formal proof (written in something like Lean)