AI BriefingMathematics in the AI Era
Key point
Terence Tao proposed that the mathematical community redefine its goals and values as AI performs research-level mathematical tasks at ICM 2026.
Details
Fields Medalist Terence Tao published an essay on arXiv, which he delivered as a keynote address at the 2026 International Congress of Mathematicians (ICM).
Instead of debating the capabilities of AI tools themselves, this piece explores the fundamental goals and values of mathematical research under the premise that AI tools capable of performing research-level mathematical tasks will emerge.
Using the problem-solving aspect of mathematics as a case study, it discusses the direction the mathematical community should pursue when AI replaces or assists such tasks. This 12-page paper, submitted to the ICM 2026 Proceedings, offers significant insights into the paradigm shift in mathematical research in the AI era.
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