Publications

• Optimal Realisations of Two-Dimensional, Totally-Decomposable Metrics (with Jack Koolen, Alice Lesser, Vincent Moulton and Taoyang Wu), Discrete Mathematics, 388 (2015), no. 8, 1289-1299, arXiv.
• Dressians, Tropical Grassmannians, and Their Rays (with Michael Joswig and David Speyer), Forum Mathematicum, 26 (2014), no. 6, 1853-1881, arXiv, complementing webpage.
• Computing the Blocks of a Quasi-Median Graph (with Vincent Moulton), Discrete Applied Mathematics, 179 (2014), 129-138, arXiv.
• Searching for Realizations of Finite Metric Spaces in Tight Spans (with Vincent Moulton and Andreas Spillner), Discrete Optimization 10 (2013), no. 4, 310-319, arXiv.
• Recognizing Treelike k-Dissimilarities (with Katharina Huber, Vincent Moulton and Andreas Spillner), Journal of Classification, 29 (2012), no. 3, 321-340, arXiv.
• Trees, Tight-Spans and Point Configurations (with Vincent Moulton), Discrete Mathematics, 312 (2012), 2506-2521, arXiv.
• The Split Decomposition of a k-Dissimilarity Map (with Vincent Moulton), Advances in Applied Mathematics, 49 (2012), no. 1, 39-56, arXiv.
• Computing the Bounded Subcomplex of an Unbounded Polyhedron (with Michael Joswig and Marc Pfetsch), Computational Geometry: Theory and Applications, 46 (2013), no. 5, 541–551, arXiv.
• On the Facets of the Secondary Polytope,  Journal of Combinatorial Theory, Series A, 118 (2011), no.2, 425-447, arXiv.
• Totally Splittable Polytopes (with Michael Joswig), Discrete & Computational Geometry, 44 (2010), no.1, 149-166, arXiv.
• How to Draw Tropical Planes (with Anders Jensen, Michael Joswig and Bernd Sturmfels), Electronic Journal of Combinatorics, 16 (2009),  no.2  (Björner Festschrift volume), #R6, arXiv, complementing webpage.
• Tight Spans and Coarsest Subdivisions of Convex Polytopes, Proceedings of the 25th European Workshop on Computational Geometry (2009), 259-262.
• Splitting Polytopes (with Michael Joswig), Münster Journal of Mathematics, 1 (2008), 109-142, arXiv.
• Genocchi Numbers and f-Vectors of Simplicial Balls, European Journal of Combinatorics, 29 (2008), no. 5, 1087-1091, arXiv.
• Bounds on the f-Vectors of Tight Spans (with Michael Joswig), Contributions to Discrete Mathematics, 2 (2007), no. 2, 161-184, arXiv.

PhD thesis

• Splits and Tight Spans of Convex Polytopes (download), TU Darmstadt, 2009, Verlag Dr. Hut. Supervisor: Michael Joswig