Michael Rothgang
Michael Rothgang is a mathematician whose work formalises mathematics with Lean and Mathlib. He coauthored a 2018 paper on Homotopy Hubbard Trees and completed a 2024 PhD on equivariant transversality at Humboldt-Universität zu Berlin. In a 2025 machine-learning-for-theorem-proving discussion, he described how scripts handle much of Mathlib’s upgrade work and coauthored Growing Mathlib, a paper about maintaining the library as it grows. He also coauthored a Lean formalisation of Carleson’s theorem in 2026. As of October 2026, he is a postdoctoral researcher in formalised mathematics at Bonn and a Mathlib maintainer.
- Now at
- University of Bonn
Timeline
-
2018
Homotopy Hubbard trees
In 2018, he coauthors a paper that introduces Homotopy Hubbard Trees for exponential maps and uses them to classify post-singularly finite maps.
-
Since 2023
Formalising mathematics with Lean
Since 2023, he formalises mathematics with Lean and works in the Mathlib community.
-
By 2024
A PhD in symplectic geometry
Before coming to Berlin, he earns an undergraduate degree at Jacobs University Bremen and a master’s degree through the Berlin Mathematical School. At Humboldt-Universität zu Berlin, he completes a 2024 PhD with Chris Wendl on equivariant transversality for closed holomorphic curves.
-
October 2024
Postdoc with Floris van Doorn
In October 2024, he is due to join Floris van Doorn’s research group as a postdoc, focusing on formalisation of analysis and symplectic geometry.
-
May 2025
Mathlib upgrades and machine learning
At a May 2025 discussion on machine learning for theorem proving, he says simple scripts can handle 80% of Mathlib version-upgrade work through deprecations and import updates.
-
2025
Growing Mathlib
In 2025, he coauthors Growing Mathlib, a paper about maintaining the expanding Lean mathematical library through deprecations, linters, faster compilation and review tools.
-
September 2026
Carleson’s theorem in Lean
In September 2026, he coauthors a paper presenting a formalisation of Carleson’s theorem in the proof assistant Lean.
-
As of October 2026
Bonn postdoc and Mathlib maintainer
As of October 2026, he is a postdoctoral researcher in formalisation of mathematics at the University of Bonn and a Mathlib maintainer.
Career
- NowUniversity of BonnPostdoctoral researcher in formalised mathematics
Education
- 2024Humboldt-Universität zu BerlinPhD
- Jacobs University BremenUndergraduate degree
- Berlin Mathematical SchoolMaster's degree
Sources and credits
Photo: We have no published photo of Michael Rothgang yet. Send us a free-licensed photo.
- Homotopy Hubbard Trees for post-singularly finite exponential maps
- Mathlib maintainers
- Growing Mathlib: maintenance of a large scale mathematical library
- Michael Rothgang’s homepage
- Chris Wendl: Abschlussarbeiten / Theses supervised
- How close are we to semi-automated Mathlib bumping?
- Floris van Doorn’s Home Page
- Formalizing Carleson’s Theorem in Lean
