Paul Lezeau
Researcher at Google DeepMind
London, England, United Kingdom
Summary
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Rockstar🎓
Top SchoolPaul Lezeau is a researcher and maths PhD candidate at the London School of Geometry and Number Theory, currently working at Google DeepMind where he bridges rigorous mathematics and AI research. His work spans algebraic geometry, number theory and the mathematics of AI, with applied projects on robustness of deep learning and formal verification for theorem proving. He has formalized nontrivial algebraic number theory results in Lean and contributed to mathlib3, helping OpenAI and the community test neural theorem provers with a curated database of formalized problems. Paul combines strong academic training from Imperial, Cambridge and Warwick with hands-on industry experience (AlphaProof, DeepMind), and a knack for translating deep theory into reproducible code and tutorials. An interesting quirk: alongside abstract algebraic work he has published practical adversarial-ML tutorials and exam-marking experience, reflecting a rare mix of formal, applied and educational contributions.
5 years of coding experience
Doctor of Philosophy - PhD Mathematics , Doctor of Philosophy - PhD Mathematics at Imperial College LondonMaster's degree Mathematics, Master's degree Mathematics at University of CambridgeBSc Mathematics, BSc Mathematics at University of WarwickVisiting Student Theoretical and Mathematical Physics, Visiting Student Theoretical and Mathematical Physics at Shanghai Jiao Tong University
English, French, Spanish
Github Skills (20)
mathematics10
proofs10
proof10
math10
maths10
automation10
automaton10
theorem-proving10
automations10
leanback10
automator10
test-automation10
r9
abstract-algebra9
ring9
Programming languages (4)
Github contributions (5)
leanprover-community/mathlib3
Aug 2021 - Jan 2023
Lean 3's obsolete mathematical components library: please use mathlib4
Role in this project:
Backend Developer
Backend DeveloperContributions:90 reviews, 310 commits, 32 PRs in 1 year 5 months
Contributions summary:Paul primarily contributed to the mathematical components library by adding new lemmas and theorems. They focused on extending the library's functionality, adding results on topics such as quotients, ideals, and unique factorization domains. Furthermore, they collaborated with others on adding and refining theorems within the ring theory and algebraic structures portions of the library. These contributions improved the formalization of mathematical concepts within the Lean 3 framework.
maththeorem-provingcomponents-librarymathematicsjavascript
Paul-Lez/pfr
Dec 2023 - Nov 2024
Repository for formalization of the Polynomial Freiman Ruzsa conjecture (and related results)
Contributions:30 pushes, 7 branches in 11 months
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