|Institut für Mathematik|
|der Technischen Universität Berlin|
|Sekretariat MA 6-2|
|Straße des 17. Juni 136|
|10623 Berlin, Germany|
|Phone:||+49 (30) 314 - 75904|
|Office:||+49 (30) 314 - 28643|
|Fax:||+49 (30) 314 - 25047|
|Email:||lastname at math.tu-berlin.de|
Office hours: Wednesday, 12-13
Research areas: geometric combinatorics, mathematical software
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Lattice polytopes are objects at a junction between combinatorics and algebraic geometry. The study of their triangulations, coarsest subdivisions, mixed subdivisions, and other decompositions is motivated by the mutual interaction between these fields as well as by applications in number theory, optimization, statistics, mathematical physics, and algorithmic biology.
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 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.
The ORMS is a web-interfaced collection of information and links on mathematical software. It presents carefully selected software, including general purpose software systems, teaching software, and more specialized packages up to specific implementations on particular mathematical research problems.