A Topological Representation Theorem for Tropical Oriented Matroids

In April my paper “A Topological Representation Theorem for Tropical Oriented Matroids” with the main result from my PhD thesis has finally been published by JCTA (Journal of Combinatorial Theory Series A) :-).

AMS Math Subject Classification

Tropical geometry in the MSC2010:

14Txx Tropical geometry [See also 12K10, 14M25, 14N10, 52B20]
14T05 Tropical geometry [See also 12K10, 14M25, 14N10, 52B20]
14T99 None of the above, but in this section

Diss-Cover

Das Cover meiner Dissertation!

FPSAC 2012

The slides for my talk at FPSAC 2012 in Nagoya, Japan

FPSAC

Here is my extended abstract.

Tropical Oriented Matroids in 3d

I can now present the mixed subdivisions and tropical pseudohyperplane arrangements from my thesis interactively in 3d.

My Thesis in acrylic paint

Over the last two years a spent a lot of time looking at a certain configuration, a tropical oriented matroid visualized as an arrangement of tropical pseudohyperplanes and its dual mixed subdivision. So I decided to interpret the topic in different way for once…

Tropical Oriented Matroid

ADM-Logo

Das Logo der AG “Algorithmic Discrete Mathematics”.

Am Anfang war nur ein Logo für die ganze AG Optimierung. Da allerdings Maschinenbauer keine Professoren unterscheiden können, die dasselbe Logo haben, schuf der Herr ein zweites.
Da eine Webseite, auf der nur zwei von drei Teil-AGs ein Logo haben, doof aussieht, brauchte die Diskrete Mathe auch eins. Und da der Herr von jeder Art immer nur zwei erschafft, mussten wir selbst ran. Hier ist es!