معرفی
Floris van Doorn is a Professor at the University of Bonn's mathematical institute, where he leads the Formalized Mathematics workgroup. His research focuses on making it viable to formalize research mathematics in proof assistants that can check the correctness of such proofs.
His main research interests include:
- Formalized Mathematics
- Proof Assistants (particularly the Lean Theorem Prover)
- Homotopy Type Theory
- Automated Theorem Proving
- Mathematical Logic
- Formal Verification
Van Doorn's recent publications demonstrate significant trends in formalizing advanced mathematical concepts. His work consistently bridges foundational theoretical development with substantial applications across mathematical disciplines. Notably, he has led formalizations of deep results like Carleson's theorem in analysis, the sphere eversion theorem in topology, and the independence of the continuum hypothesis in set theory. These projects reveal an evolution from foundational work on type theory toward increasingly sophisticated formalizations of mainstream mathematical research, demonstrating that proof assistants can handle complex geometric and topological reasoning beyond purely algebraic domains.
His notable recognition includes:
- Skolem award (2025) for "The Lean Theorem Prover (System Description)"
As an educator and mentor, van Doorn has supervised multiple researchers who have joined his formalization group in Bonn, including Maria, Michael, and Arend as of October 2024. He has developed significant educational resources for the community, including the Natural Number Game and the book "Mathematics in Lean." His leadership in developing and maintaining the mathlib library has been instrumental in establishing Lean as a leading platform for formalized mathematics.
Van Doorn leads the Formalized Mathematics group at the University of Bonn, which focuses on ambitious collaborative projects. Recent initiatives include the Carleson project (formalizing Carleson's theorem), the Polynomial Freiman-Ruzsa Conjecture formalization completed in November 2023, and the sphere eversion project that formalized Gromov's h-principle. These projects involve large-scale international collaborations and demonstrate how formal verification can contribute to mathematical understanding while pushing the boundaries of what's possible with proof assistants.
