## Research

### Preprints

### Journal papers

Realizability and inscribability for simplicial polytopes via nonlinear optimization

Mathematical Programming

, 2017.
Computing Maximal Copies of Polyhedra Contained in a Polyhedron

Experimental Mathematics

, 2015.
Real equivariant bordism for elementary abelian 2-groups

Homology, Homotopy and Applications

, 2013.
### Theses

Optimization Methods in Discrete Geometry

Dissertation

, 2016.
Real equivariant bordism for products of $\mathbb{Z}/2$

Diplomarbeit

, 2011.
### Miscellaneous

- Classifications and realizations
- combinatorial spheres, polytopes and oriented matroids
- Equiareal Triangulations
- triangulations of the triangle with all equal areas
- More terms of a sequence defined by Cloitre
- this is A186253 in the OEIS
- Platonic inclusions
- a visualization of polyhedral containment
- Kissing cylinders
- a visualization of cylinders kissing a sphere
- Hypercube unfoldings
- 3d animations of all 261 unfodings of the 4-dimensional hypercube

## Teaching

- Lecture Topology I
- Wintersemester 2017/18
- Vorlesung Mathematisches Panorama
- Wintersemenster 2017/18
- Vorlesung Panorama der Mathematik
- Sommersemester 2017

## Other projects

- Felix Klein Protokolle
- an index of seminars 1872–1912
- Guessaday
- an android app to guess the day of the week of random dates