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Teaching

Current semester: Winter 2017/2018

Courses previously taught

  • Sept. 2010:  Preparatory Course "Mathematics for Math and Physics Students," Technische Universität München, Germany.
    Freshman course: This is a 2-weeks preparatory course for mathematics and physics students (Vorkurs Mathematik für Mathematiker und Physiker) consisting of 19 lectures. Participation is optional. Course notes are available here [PDF], because I am using a Tablet PC instead of the traditional blackboard. Visit the following link for the course webpage.

  • Spring 2010:  Discrete Ill-Posed Problems (together with Per Christian Hansen and Kim Knudsen), Technical University of Denmark.
    Ph.D. course: The aim of the course is to give a practical introduction to the numerical treatment of inverse problems (also known as ill-posed problems) in various forms, such as first-kind Fredholm integral equations or their discrete counterparts. The emphasis of the course is on practical and computational/numerical aspects. The theory is illustrated by Matlab exercises, in such a way that the student gets hands-on experience with some common techniques and paradigms.

  • Spring 2008:  Discrete Ill-Posed Problems (together with Per Christian Hansen), Technical University of Denmark.
    Ph.D. course: The aim of the course is to give a practical introduction to the numerical treatment of inverse problems (also known as ill-posed problems) in various forms, such as first-kind Fredholm integral equations or their discrete counterparts. The emphasis of the course is on practical and computational/numerical aspects. The theory is illustrated by Matlab exercises, in such a way that the student gets hands-on experience with some common techniques and paradigms. The table of content of the lecture notes covering my part of the course can be found here [PDF].

  • Fall 2007:  ENGRI 115: Engineering Applications of Operations Research, Cornell University, USA. 
    Freshman course: Introduction to the problems and methods of operations research and industrial engineering focusing on problem areas (including inventory, network design, and resource allocation), the situations in which these problems arise, and several standard solution techniques. In the computational laboratory, students encounter problem simulations and use some standard commercial software packages.

  • Spring 2007:  ORIE 437: Computational Discrete Optimization, Cornell University, USA.
    Senior-level undergraduate course: Covers computational implementation and related methodology for solving large-scale, real-world integer programming problems. Primary emphasis is on branch-and-cut technology: pre-processing, cut strength, exact and heuristic separation techniques, branching strategies, multi-processing. Hands-on experience with state-of-the-art software for various discrete optimization models, including the traveling salesman, capacitated vehicle routing, air crew scheduling, and largest feasible subsystem problems.

Previous Seminars

Previous Tutorial Management (Übungsleitung)

Previous Tutorials

  • Summer 2017: Grundlagen der konvexen Optimierung (Michael Ulbrich), Technische Universität München, Germany.
  • Winter 2001/2002: Linear Algebra I (Peter Gritzmann), Technische Universität München, Germany.
  • Summer 2001:  Höhere Mathematik für Informatiker II (Peter Vachenauer), Technische Universität München, Germany.
  • Winter 2001:  Höhere Mathematik für Informatiker I (Peter Vachenauer), Technische Universität München, Germany.

Thesis/Project Supervision

Completed Theses and Projects

Completed Master's Theses / Diploma Theses

Authors Title Year
Heptner, Michael Discrete Tomography under Block Constraints 2017
Angermeier, Andrea Reconstrucing the Movement of Table Tennis Balls with Discrete Tomography 2016
Schwenk, Martin Discrete and Continous Tomography Methods and their Application in Plasma Physics 2014
Ritter, Marius Particle Tracking Using Network-flow-based Discrete Tomography 2014
Nedelec, Katia Mathematische Grundlagen des Phase-Unwrappings 2013
Schüßler, Maximilian Inverse Routing: Estimation of an Origin-Destination Trip Table from Traffic Counts 2012
Schmöller, Stefan Das Maximum-Feasible-Subsystem Problem: Heuristiken und Anwendungen 2012
Behrla, Valentin Polyedrische Kombinatorik des Feasible-Subsystem Polytops 2012
Billing, Dominik Geometric Reconstruction of InAs-Nanowires 2011
Eisgruber, Anna-Marie Tomographische Rekonstruktion von 3D Liniensegmenten 2011

Completed Bachelor's Theses

Authors Title Year
Burkhart, Andreas Crystal Growth Modeling via Generalized Power Diagrams 2016
Lachenmaier, Michael Matchings under Preferences with Special Focus on the Stable Marriage Problem 2015
Garnelo Abellanas, Irene Solvability and Stability of Nonograms 2015
Hammerschick, Andreas Invertierung von Power Diagrammen 2015
Eberle, Franziska Dynamische Diskrete Tomographie: Vergleich verschiedener Modellierungen 2014
Bosse, Ruth Über Rysers Vermutung zu Matchings in Hypergraphen 2014

Completed Projects / Interdisciplinary Projects

Authors Title Year
Kohler, Matthias Michael Determination of Ellipsoids for Constructing Generalized Balanced Power Diagrams 2016
Friedrich, Tobias Dreidimensionale Refraktionsvisualisierung 2014
Turchetta, Stefano Discrete Optimization Methods for Particle Tracking Velocimetry 2014
Kiermaier, Michael Geometric Solutions of the Prouhet-Tarry-Escott Problem 2004
Weiser, Stefan Reduktion von Gitterbasen und das Prouhet-Tarry-Escott Problem 2004
Iacobet, Cristian An Experimental Approach to the Stability Question of Greedy Algorithms in 2-Dimensional Discrete Tomography 2003

External

Type Student Topic Research Institution Year
Student Project Dhairya Malhotra A Monte-Carlo Algorithm for Grain Reconstruction Risoe-DTU 2008

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)

News

March 2017
February 2017
Case Studies 2017 registration deadline: March 5th, 2017
January 2017
Case Studies 2017 pre-meeting and registration information
January 2017
preliminary Summer 2017 course program is available