[2608.16753] Mathematics in the age of AI

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arXiv:2608.16753 (math)

[Submitted on 17 Aug 2026]

Title:Mathematics in the age of AI

Authors:Terence Tao<br>View a PDF of the paper titled Mathematics in the age of AI, by Terence Tao

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Abstract:An essay, based on a public lecture delivered at the 2026 International Congress of Mathematicians, on how the mathematical community might respond to the arrival of artificial intelligence tools that are capable of performing research-level mathematical tasks. Rather than debating the capabilities of such tools, we condition on the hypothesis that these capabilities will arrive, and examine instead a question that is orthogonal to it: what the goals and values of mathematical research actually are. The problem-solving component of mathematics is used as a case study.

Comments:<br>12 pages, four figures. Submitted to the Proceedings of the ICM 2026

Subjects:

History and Overview (math.HO)

MSC classes:<br>Primary 00A30, Secondary 01A80, 68T01, 68V20, 68V35

Cite as:<br>arXiv:2608.16753 [math.HO]

(or<br>arXiv:2608.16753v1 [math.HO] for this version)

https://doi.org/10.48550/arXiv.2608.16753

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arXiv-issued DOI via DataCite (pending registration)

Submission history<br>From: Terence C. Tao [view email]<br>[v1]<br>Mon, 17 Aug 2026 15:59:47 UTC (3,396 KB)

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