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Research Unit Applied Geometry and Discrete Mathematics (M9)

Welcome the the research unit Applied Geometry and Discrete Mathematics. Our work is focussed on geometric representations of optimization problems and their solution. Using descriptions of feasible solutions as points in a very large, high-dimensional search space, combinatorial constraints can be translated into geometric characteristics. A better understanding of these characteristics, as is often possible by looking at the problems from a combined geometric, combinatorial and discrete mathematics viewpoint (e.g., using results from graph theory, matroid theory, polyhedral geometry and combinatorics) enables us to devise powerful algorithmic approaches to solve very complex optimization problems. Such problems occur in a variety of applied projects, for example in routing, logistics, scheduling, microchip layout, discrete tomography or data analysis. If you want to know more about applications of our work, have look at the projects page.

Research Unit M9


Department of Mathematics
Boltzmannstraße 3
85748 Garching b. München
Germany
phone:+49 89 289-16858
fax:+49 089 289-16859
sekretariat-m9ma.tum.de

Professors

Prof. Dr. Peter Gritzmann
Applied Geometry and Discrete Mathematics

Prof. Dr. Andreas S. Schulz
Mathematics of Operations Research
(affiliated member of M9)

Prof. Dr. Stefan Weltge
Discrete Mathematics

News

April 2018
Case Studies 2018: Save the date: Case Studies poster presentation on May 25th, 2018, final workshop on July 7th, 2018.