Terence Tao, a Fields Medalist, presented an essay titled "Mathematics in the age of AI" at the 2026 International Congress of Mathematicians, discussing how the mathematical community might respond to AI tools capable of research-level mathematical tasks. The essay, submitted to the Proceedings of the ICM 2026, focuses on the goals and values of mathematical research amid AI advancements, rather than debating AI capabilities, according to arxiv.org.
Tao's essay conditions on the assumption that AI tools with advanced problem-solving abilities will arrive, and uses the problem-solving aspect of mathematics as a case study to examine the broader implications. He emphasizes understanding what mathematical research aims to achieve, rather than merely focusing on AI's technical potential. The paper spans 12 pages and includes four figures, reflecting a comprehensive analysis of AI's role in the field.
This discussion is significant as AI increasingly performs complex tasks traditionally done by humans, including in specialized domains like mathematics. Tao’s approach shifts the conversation from AI’s capabilities to the philosophical and practical objectives of mathematical research, highlighting the need for the community to reassess its values. The essay contributes to ongoing debates about AI's integration into academic disciplines and the future of research methodologies.
The essay was submitted on August 17, 2026, to arXiv under the identifier 2608.16753 and is publicly accessible. Tao’s insights offer a foundational perspective for mathematicians and AI researchers considering the evolving landscape of mathematical inquiry.