Michael Joswig: Software

Specialized software is the key tool to help the mind doing research in mathematics. At the same time mathematical software bridges the gap between the diverse fields of mathematics and their application areas.


polymake is a software system for convex polytopes, simplicial complexes, and more. Co-authored with Ewgenij Gawrilow (now TomTom) and actively supported by many people [BibTeX-Entry]. If you are interested to see how polymake can be used, see the documentation or this extra page with references. This is a long term project first released in 1997.



This is a brandnew parallel implementation of the down-flip reverse search algorithm for enumerating the (regular) triangulations of a point set. Co-authored with Skip Jordan and Lars Kastner. Our arXiv preprint explains the method and reports on experimental results. Release of version 1.0 on March 28, 2018.


This small polymake side project is an educational game, which lets you play with 3-dimensional polytopes and their unfoldings. Co-authored with Georg Loho, Benjamin Lorenz and Rico Raber in 2016 and presented at SoCG 2017. MatchTheNet is part of Imaginary.


We are currently developing a new computer algebra system, called "OSCAR". It is written in Julia, and it combines GAP, Singular, polymake and Antic.

Thanks to Benjamin Lorenz and Sebastian Gutsche we already have a first tech preview (from April/May 2018):

If you want to try it yourself startup the system, e.g., on Linux via sudo docker run --net=host -it oscarsystem/oscardocker. If you are using Windows or MacOS instead please find out how to start a docker container there. Afterwards, in the docker container: jupyter notebook --no-browser Finally, open the local link displayed in your web browser; start new Julia kernel.

Project II.1 in SFB/TRR 195, with Mohamed Barakat, Wolfram Decker, Claus Fieker and Frank Lübeck. Researchers: Reimer Behrend, Sebastian Gutsche, William Hart



This is a small program which computes real representations of quasi-simple Lie groups. It is quite old but still functional and occasionally useful. Joint work with Richard Bödi.

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Last modified: Fre Jul 13 16:47:36 UTC 2018 by joswig