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PD Dr. Steffen Borgwardt

foto steffen.png Zentrum Mathematik
Technische Universität München
D-85747 Garching bei München

Further details on postal address

Office: 02.04.061
Phone: +49 +89 289-16876
EMail: borgwardtma.tum.de
Office hours: by appointment


  • Since September 2015 I work as a Privatdozent.
  • My habilitation on "Data Analysis through Polyhedral Theory" was completed in early 2015.
  • I was a visiting assistant professor at UC Davis from September 2014 to August 2015. Here  is a link to my old homepage at UC Davis. Thank you to the Humboldt Foundation and the Feodor-Lynen program for this opportunity.
  • We won the EEPA 2013 (European Excellence in Practice Award) with our work on "Geometric clustering for the consolidation of farmland and woodland"! "We" means a joint work with Prof. Gritzmann and Prof. Brieden.
  • In the winter term 2013/14, I worked as an acting professor at the Institut für Mathematische Optimierung of the TU Braunschweig.

Research Projects and Interests

My scientific work is based on the study of high-dimensional objects, which are derived from geometric modeling techniques for practical optimization problems arising in clustering or logistics. The geometric properties of these objects contain information about the combinatorial structure of the problem, and therefore show approaches for practical algorithmic solutions. The various diameters of polyhedra are important here and one of my current fields of research. A second focus lies in application-driven work on optimization methods for the analysis of big data. It covers topics such as clustering under constraints, multiclass classification, and optimal transportation plans.


See my CV for an uptodate list.

Habilitation Thesis

Ph.D. Thesis


See my CV for an uptodate list.

Student Mentoring

Student Topic Type Year
Alexander Kampmeier On the computation of local and global optima for soft power diagrams master thesis 2014
Michael Heptner l_p-norm Voronoi diagrams bachelor thesis 2014
Philipp Fröhlich Support Vector Machines and the Kernel trick bachelor thesis 2013
Gabriel Anzer On the best number of clusters bachelor thesis 2013
Andrej Winokurow Norm maximization over gravity polytopes master thesis 2012
Philipp Krenz Hierarchical Clustering bachelor thesis 2012
Christoph Bolkart Clustering with Instance-level Constraints bachelor thesis 2011
Martin Zach Zellzerlegungen und Least-Squares Assignments für die aquatische Ökologie diploma thesis 2011
Gabriel Guckenbiehl Hierarchische Clustering-Verfahren scientific internship 2010
Jakob Engel Cluster-Kategorisierung von Sedimentproben in der aquatischen Ökologie interdisciplinary project 2010
Felix Schmiedl Packing und Covering von skalierten polytopalen Einheitskugeln diploma thesis 2009
Andreas Lechner Shaped Partitioning diploma thesis 2009
Martin Meinel Clusterings, Voronoi Diagrams and Separability interdisciplinary project 2008

Curriculum Vitae

Research Unit M9

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


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


Jan 25th, 2019
Case Studies 2019: Preliminary Meeting on Wed, Feb 6th, at 16:00 in room MI 03.06.011.