Raphael Appenzeller

I am a PhD-student at ETH Zürich under the supervision of Marc Burger.

Contact me:
raphael.ap­penzeller­@math.et­hz.ch

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 the hyperbolic plane. My research is about things with negative curvature. In particular I look at connections between symmetric spaces and combinatorial objects called buildings.

Preprints:
- An incomplete real tree with complete segments [arXiv:2212.09640], joint with Luca De Rosa, Xenia Flamm, Victor Jaeck.
- (In)dependence of the axioms of Λ-trees [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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Sometimes I like to create silly things. Here are some of them (very unpolished):

• Group sudoku
• Compound word spelling using ngram
• 3D-Battleship (requires Java-Script, and sometimes Internet Explorer)
  Controls: ASDW Q E Space
• 3D-Minesweeper (requires Java-Script)
  Controls: ASDW Q E Space F
• Chemical names (requires Java-Script)
  Did you ever want to build your names from the chemical elements?
• Fp Ploter (requires Java-Script)
  Plot your geometrical figures modulo p.
• Fractal Fern (requires Java-Script)
  Includes FFF (Funky Fractal Fern).
• academia-Tagesrätsel (requires Java-Script)