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Researchers say large language models reached new math milestones in Perimeter Institute lecture
Summary
A Perimeter Institute lecture excerpt played on Megatrends described how modern LLMs have advanced from language tasks to producing original mathematical arguments, including high scores on International Mathematical Olympiad problems and a reported LLM-assisted proof of a longstanding problem.
A recorded Perimeter Institute lecture excerpt played on the July 23 Megatrends episode outlined rapid advances in large language models and their application to mathematics. The unnamed lecturer described how modern LLMs are "grown, not programmed," trained first by pretraining on massive text corpora and then refined in a post-training stage. On the lecture excerpt, the presenter said models once measured in billions of parameters are now "up to a few trillion," and that scale plus new methods has enabled capabilities far beyond earlier benchmarks.
The presenter said those advances have already produced notable results. He described how an LLM scored highly on the International Mathematical Olympiad, reporting it solved five of six problems and earned what he called a "gold medal"–level performance. He also said teams pairing mathematicians with LLMs produced novel arguments in a coauthored paper and that a recent model autonomously produced a proof approach to a long-studied unit-distance problem, calling it "a milestone in AI mathematics." "We got 5 of the 6 problems exactly correct," the lecturer said when summarizing the Olympiad run. The presenter emphasized the human--model collaboration in the research, saying experts "studied those proofs, tried to discern good from bad, and tried to encourage the large language models to focus on what was good."
The lecture excerpt did not include peer-reviewed publication details for every claim; the presenter named collaborators and institutions in broad terms (one co-author was described as a Stanford professor and president of the American Mathematical Society) but the broadcast excerpt itself did not present journal citations. The episode framed the developments as both remarkable for research productivity and consequential for the future of scientific work, while the presenter repeatedly highlighted that human oversight and verification remained part of the research pipeline.
