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DTSTART;TZID=America/New_York:20260930T163000
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SUMMARY:AI for the Working Mathematician
DESCRIPTION:AI for the Working Mathematician \nSpeaker: Harold Williams\, USC \nTitle: An Informal Introduction to Formal Proofs \nAbstract: In this talk we will give an introduction to Lean\, a programming language adapted to expressing and verifying proofs. Lean and its flagship library\, mathlib\, have been the focus of a dedicated user community for about a decade\, but their visibility has grown significantly in the last year. This is in large part because Lean makes validating large AI-generated proofs dramatically more practical: the human work is reduced from analyzing the logical correctness of an entire proof to analyzing the semantic correctness of a Lean statement. The main goal of the talk will be to build some example-based intuition for how this works in practice. Time permitting\, we will also discuss how Lean interacts with the way modern AI systems are trained\, and potential implications of formal theorem proving for the broader interaction between science and mathematics.
URL:https://cmsa.fas.harvard.edu/event/ai-93026/
LOCATION:CMSA Room G10\, CMSA\, 20 Garden Street\, Cambridge\, MA\, 02138\, United States
CATEGORIES:AI for the Working Mathematician,Colloquia & Seminar
ATTACH;FMTTYPE=image/png:https://cmsa.fas.harvard.edu/media/2026/07/CMSA-AI-for-Mathematicians-Seminar-9.30.2026.docx-scaled.png
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DTSTART;TZID=America/New_York:20260923T163000
DTEND;TZID=America/New_York:20260923T173000
DTSTAMP:20260924T151658Z
CREATED:20260729T160433Z
LAST-MODIFIED:20260924T151658Z
UID:10003962-1790181000-1790184600@cmsa.fas.harvard.edu
SUMMARY:Finite locally free group schemes
DESCRIPTION:AI for the Working Mathematician \nSpeaker: Akhil Mathew\, University of Chicago \nTitle: Finite locally free group schemes \nAbstract: The notion of a finite locally free group scheme is a natural generalization of the usual notion of a finite group. Lagrange’s theorem states that all nth powers vanish in a group of order n. However\, this need not hold for a group scheme. I will explain some history and motivation of this problem and describe a finite locally group scheme of order four (found by AI) where fourth powers are nonzero. \n 
URL:https://cmsa.fas.harvard.edu/event/ai_92326/
LOCATION:CMSA Room G10\, CMSA\, 20 Garden Street\, Cambridge\, MA\, 02138\, United States
CATEGORIES:AI for the Working Mathematician,Colloquia & Seminar
ATTACH;FMTTYPE=image/png:https://cmsa.fas.harvard.edu/media/2026/07/CMSA-AI-for-Mathematicians-Seminar-9.23.2026.docx-1-scaled.png
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20260909T163000
DTEND;TZID=America/New_York:20260909T173000
DTSTAMP:20260910T183205Z
CREATED:20260706T171637Z
LAST-MODIFIED:20260910T183205Z
UID:10003960-1788971400-1788975000@cmsa.fas.harvard.edu
SUMMARY:Working with LLMs to do high quality math
DESCRIPTION:AI for the Working Mathematician \nSpeaker: Daniel Litt\, University of Toronto \nTitle: Working with LLMs to do high quality math \nAbstract: Much hay has been made of the capabilities of LLMs to do math autonomously\, and indeed frontier models have resolved some long-standing\, interesting open questions. But our goal is not to produce papers\, but rather to do high quality mathematics. I’ll discuss some experiments over the past year in trying to get LLMs to help with producing high quality mathematics\, non-autonomously\, and speculate a bit about the future.
URL:https://cmsa.fas.harvard.edu/event/ai_9926/
LOCATION:CMSA Room G10\, CMSA\, 20 Garden Street\, Cambridge\, MA\, 02138\, United States
CATEGORIES:AI for the Working Mathematician,Colloquia & Seminar
ATTACH;FMTTYPE=image/png:https://cmsa.fas.harvard.edu/media/CMSA-AI-for-Mathematicians-Seminar-9.9.2026.docx-scaled.png
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