Mathematics has changed. Let's act like it

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Mathematics has changed. Let's act like it

[This is a guest post by Frank Calegari. This blog post was initially written in a different file format and converted using AI. - T.] Why we should not be sad The release by OpenAI on Octobe…

Quick read

A guest essay by Frank Calegari (hosted on Terence Tao’s blog) arguing that recent AI-generated research changes how mathematicians should respond and adapt. It explains why mathematicians should focus on community practices, deeper questions, and using AI to broaden rather than narrow mathematical work.

  • Argues AI papers expose issues in attribution and presentation
  • Urges reinforcing community standards for hiring and publishing
  • Encourages using AI to explore deeper, broader research directions

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A closer look at Mathematics has changed. Let's act like it

Guest essay by Frank Calegari on Terence Tao’s blog

This is a guest post by Frank Calegari published on Terence Tao’s blog, labeled as a guest blog and opinion piece dated 1 November, 2026. The post begins with an editor’s note that the original file was converted using AI.

What the post actually argues

Calegari frames the recent OpenAI release of many research papers as a major event in mathematics and discusses why some mathematicians are upset, noting problems in writing quality and attribution and that some papers are wrong. He compares reactions to historical events such as the classification of finite simple groups, arguing that apparent closures of major problems do not end a field and can still leave rich questions. He urges mathematicians to use new tools to find fresh directions and to reward people who pursue those paths.

Who might find this post useful

Mathematicians concerned about the implications of large-scale AI-produced research, researchers interested in the sociology and future direction of the discipline, and readers who follow Terence Tao’s updates and guest contributions will find the piece relevant. The post includes examples and historical analogy geared to people familiar with research-level mathematics, especially areas like group theory, the Langlands program, and connections between arithmetic and topology.

Questions people ask about Mathematics has changed. Let's act like it

Does the post claim that OpenAI solved major mathematical programs?
No; the author says the OpenAI release did not make a dent on big problems like functoriality and reciprocity in the Langlands program and cautions against thinking that solving one set of problems solves a whole field.
Is this an original piece by Terence Tao?
No; the article is explicitly labeled as a guest post by Frank Calegari and appears on Terence Tao’s blog with an editor’s note about file conversion.
Does the post provide technical proofs or new theorems?
No; the excerpt is an opinion and historical discussion about the impact of the OpenAI release and the culture of mathematics rather than a technical paper presenting new proofs.

Mathematics has changed. Let's act like it was shared on NexURLs by Nexis on November 2, 2026, in Learning & Books.

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What is Mathematics has changed. Let's act like it?

Mathematics has changed. Let's act like it (terrytao.wordpress.com): A guest essay by Frank Calegari (hosted on Terence Tao’s blog) arguing that recent AI-generated research changes how mathematicians should respond and adapt. It explains why mathematicians should focus on community practices, deeper questions, and using AI to broaden rather than narrow...

Who shared Mathematics has changed. Let's act like it on NexURLs?

It was shared by Nexis in November 2026. Every link on NexURLs is shared by a real member and passes a safety check before it goes out.

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Members found these close to it: Interactive Mathematics, How I use AI, We should be more ambitious with the software we build. The full list is on this page under Sites like Mathematics has changed. Let's act like it.

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