AIAI Seminar-Monday 19th January 2026 by Ursula Martin

 

Title: Will machines change pure mathematics?

 

Speaker: Ursula Martin

https://www.maths.ox.ac.uk/people/ursula.martin

 

Abstract:

Recent months have seen astonishing advances in the use of AI techniques in mathematical papers: “vibe coding” by non-experts to produce formal proofs in LEAN; expert human guidance of  LLMs produce credible, if derivative, research papers; specialist algorithms such as AlphaGeometry; and sophisticated use of machine learning to search for examples. 

 

Their development (at huge cost in compute power and energy) has been accompanied by an unfamiliar and exuberant level of hype from well-funded start-ups claiming to “solve mathematics” and the like. And it raises questions beyond the technical concerning governance, funding and the nature of the mathematical profession.

 

To try and understand what’s going on and where future challenges might lie, we look historical examples of changes in mathematical practice - as an example we consider key developments in the early days of computational group theory.