Raphael Appenzeller

Raphael Appenzeller

I am a postdoc at Uni Heidelberg 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:
rap­penzeller­@mathi.uni-heidelberg­.de

I like geometry. I like to create and look at models of mathematical objects. I like to imagine living in four-dimensional space and/or curved spaces. My research is about things with non-positive curvature. In my doctoral thesis I looked at connections between symmetric spaces and combinatorial objects called buildings.

Publications and Preprints:
- Semialgebraic groups and generalized affine buildings, doctoral thesis, [arXiv:2407.20406].
- An incomplete real tree with complete segments, Innov. Incidence Geom. 21 (2024) 35-44, [arXiv:2212.09640], joint with Luca De Rosa, Xenia Flamm, Victor Jaeck.
- (In)dependence of the axioms of Λ-trees, Analysis and Geometry in Metric Spaces, vol. 12, no. 1, 2024, pp. 20230106, [arXiv:2112.02704].

Here you can find my Bachelor Thesis on non-Archimedean hyperbolic planes and trees.

Do you like geometry, topology and groups? Check out the Geomtetry Graduate Colloquium at ETH.

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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.

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Sometimes I like to create silly things. Here are some of them (very unpolished):