Oliver Nash
Oliver Nash is a mathematician who formalizes mathematics in Mathlib and co-authored a Nature paper on formal mathematical reasoning with reinforcement learning. He completed a DPhil in differential geometry at Oxford in 2006, with a dissertation on monopole moduli spaces. He began formalizing mathematics in 2019, and he posted Formalising Lie algebras in 2021, Formalising the h-principle and sphere eversion in 2022, and Engel's theorem in Mathlib in 2023. In September 2025, he interviewed Kevin Buzzard and Alex Kontorovich about Mathlib. As of October 2026, he is a senior manager at the Mathlib Initiative.
- Now at
- Mathlib Initiative
- Works
- 15
- Citations
- 94
- h-index
- 6
Publication numbers from OpenAlex, as of 15 October 2026.
Timeline
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2006
A DPhil on monopole moduli spaces
He completes a DPhil in differential geometry at Oxford in 2006, with a dissertation on monopole moduli spaces.
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Since 2019
Formalizing mathematics
He starts formalizing mathematics in 2019.
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December 2021
Formalising Lie algebras
He submits Formalising Lie algebras to arXiv in December 2021, a report on Lie algebras in Mathlib.
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October 2022
Formalising sphere eversion
In October 2022, he and two co-authors post Formalising the h-principle and sphere eversion, which describes a Lean formalisation of the local h-principle.
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April 2023
Engel's theorem in Mathlib
In April 2023, he posts Engel's theorem in Mathlib, where all arguments work with coefficients in any commutative ring.
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September 2025
Interviews about Mathlib
In September 2025, he separately interviews Kevin Buzzard and Alex Kontorovich about Mathlib and the Mathlib Initiative.
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November 2025
A Nature paper on formal reasoning
In November 2025, Nature publishes Olympiad-level formal mathematical reasoning with reinforcement learning, which lists him among its authors.
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As of October 2026
Senior manager at the Mathlib Initiative
As of October 2026, he is a senior manager at the Mathlib Initiative.
Sources and credits
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- Mathlib maintainers
- Oliver Nash - The Mathematics Genealogy Project
- [math/0610295] Differential geometry of monopole moduli spaces
- [2112.04570] Formalising Lie algebras
- [2210.07746] Formalising the $h$-principle and sphere eversion
- [2304.10424] Engel's theorem in Mathlib
- Kevin Buzzard and Alex Kontorovich on the Future of Formal Mathematics: A Mathlib Initiative Interview
- Olympiad-level formal mathematical reasoning with reinforcement learning