BIO

My background is in algebraic number theory. Currently I work in the area of formal proof verification. I believe that within my lifetime, computers will be able to help human mathematicians to create proofs, and I am actively trying to accelerate this process. Examples of things I do:

  • I help to maintain Mathlib, a formalized database of modern mathematical theorems and definitions;
  • I teach mathematics undergraduates how to use Lean, the software which can read the database;
  • I am leading a project to formalize a 21st century proof of Fermat's Last Theorem;
  • I am managing a project to formalize the statements of recent theorems published in the top mathematics journals.

    Some of my recent talks (see links on left):

 

  • Oxford Strachey Lecture 2025 - Will computers prove theorems?
  • Stanford MRC Public Lecture 2024 - Can AI do mathematics?
  • The 2023 Bernays Lectures, ETH Zurich.
  • The 2022 Plücker lectures, University of Bonn
  • My plenary lecture at the 2022 International Congress of Mathematics.
  • Will Computers Outsmart Mathematicians? (2021 talk for a general audience at Gresham College).

MEDIA

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FACULTY

  • Faculty of Natural Sciences

POSITION NAME

  • Professor of Pure Mathematics

FIELDS OF RESEARCH