Raphael Appenzeller
Geometry · Geometric group theory · Affine buildings
I am a mathematician working in Geometry and Geometric Group Theory.
I am a postdoc at
Heidelberg University
in the working group of
Petra Schwer.
I used to be at
ETH Zürich,
where I completed my doctorate under the supervision of
Marc Burger.
Contact me:
I like geometry. I like to create and look at models of mathematical objects.
My research is about symmetric things with non-positive curvature.
In my doctoral thesis
I looked at connections between symmetric spaces and combinatorial objects
called buildings.
Publications and preprints:
- Preprint with Xenia Flamm, Victor Jaeck. Morphisms of generalized affine buildings, (2026). arXiv:2601.04130.
- Generalized affine buildings for semisimple algebraic groups over real closed fields, accepted for publication in Münster Journal of Mathematics (2026) 🔓 arXiv:2601.03226.
- Preprint. Semisimple algebraic groups over real closed fields, (2026). arXiv:2601.07732.
- with Kevin Klinge. Cops and robbers for hyperbolic and virtually free groups, accepted for publication in Groups, Geometry and Dynamics (2026) 🔓 arXiv:2502.04540,
- Preprint with Auguste Hébert, Alexander Lytchak. Flat subsets of Euclidean buildings, (2025). arXiv:2512.11658.
- Preprint with Schmitt, Bérczi, Dekoninck, Feusi, Gehrunger et al. IMProofBench: Benchmarking AI on Research-Level Mathematical Proof generation, (2025). arXiv:2509.26076.
- with Luca De Rosa, Xenia Flamm, Victor Jaeck. An incomplete real tree with complete segments, Innov. Incidence Geom. 21 (2024), 35–44. doi:10.2140/iig.2024.21.35i, arXiv:2212.09640.
- (In)dependence of the axioms of Λ-trees, Analysis and Geometry in Metric Spaces 12(1) (2024). doi:10.1515/agms-2023-0106 🔓.
Here you can find my Doctoral Thesis and my
Bachelor Thesis
on non-Archimedean hyperbolic planes and trees.
I like to 3D-print objects, some of which can be found on my
thingiverse page.
If you want to get a copy of the triangle shirt, you can buy one on
spreadshirt.com.
Sometimes I like to create silly things. Here are some of them
(very unpolished):
·
ORCID ·
thingiverse.com