Maximilian Merkert
Postdoc in the MathOpt research group
at the Faculty of Mathematics
at the Otto von Guericke University Magdeburg
Address
Universitätsplatz 2, 02-225
39106 Magdeburg, Germany
phone: +49 391 67 52155
fax: +49 391 67 41171
Teaching Summer 2021
- Reading Course Approximationsalgorithmen
Previous Courses
- Winter 2020/21: Lecture Einführung in die Mathematische Optimierung
- Summer 2020: Compact Course Polynomial Optimization
- Winter 2019/20: Lecture Concepts and Algorithms of Optimization
- Summer 2019: Seminar Kombinatorische Spieltheorie
- Winter 2018/19: Lecture Einführung in die Mathematische Optimierung (together with G. Averkov)
- Winter 2018/19: Lecture Concepts and Algorithms of Optimization
- Summer 2018: Seminar Optimierung und Machine Learning
- Summer 2018: Lecture Modellierung 1 (together with B. Rummler)
- Winter 2017/18: Lecture Nichtlineare Optimierung (together with S. Sager)
Short CV
A long version is available on request.
| Aug. 2017 – present: |
Otto-von-Guericke Universität Magdeburg Postdoc in the MathOpt research group |
| May 2012 – June 2017: |
Friedrich-Alexander-Universität Erlangen-Nürnberg PhD student and research assistant in the Economics, Discrete Optimization, and Mathematics (EDOM) research group |
| Apr. 2007 – Dec. 2011: |
TU Kaiserslautern Diploma in Mathematics with minor Comupter Science, specialized in Optimization |
March 2010 – June 2010: |
University of Auckland, New Zealand Exchange semester, supported by the DAAD |
Research interests
- Mixed Integer Nonlinear Programming
- Network Optimization & Applications
- Polyhedral Combinatorics
- Graph Theory
- Bilevel Optimization & Game Theory
Selected publications
14 / 14
2022
incollection
Mathematical Optimization and Machine Learning for Efficient Urban Traffic
KoMSO Success Stories on Mathematics in Industry
@incollection{Bethge2022,
author = {Bethge, J. and Findeisen, R. and Le, D.D. and Merkert, M. and H., Rewald and Sager, S. and Savchenko, A. and Sorgatz, S.},
title = {Mathematical Optimization and Machine Learning for Efficient Urban Traffic},
booktitle = {KoMSO Success Stories on Mathematics in Industry},
publisher = {Springer},
year = {2022},
editor = {K\"{u}fer, Karl-Heinz and Maass, Peter and Milde, Anja and Schulz, Volker},
pages = {113--120},
url = {https://mathopt.de/publications/Bethge2020.pdf}
}
2022
article
Autonomous traffic at intersections: an optimization-based analysis of possible time, energy, and CO2 savings
Networks
@article{Le2022,
author = {Le, D.D. and Merkert, M. and Sorgatz, S. and Hahn, M. and Sager, S.},
title = {Autonomous traffic at intersections: an optimization-based analysis of possible time, energy, and {CO2} savings},
journal = {Networks},
year = {2022},
volume = {79},
number = {3},
pages = {338--363},
url = {https://optimization-online.org/?p=16226},
doi = {10.1002/net.22078}
}
2021
article
Expert-Enhanced Machine Learning for Cardiac Arrhythmia Classification
PloS one
@article{Sager2021,
author = {Sager, Sebastian and Bernhardt, Felix and Kehrle, Florian and Merkert, Maximilian and Potschka, Andreas and Meder, Benjamin and Katus, Hugo and Scholz, Eberhard},
title = {Expert-Enhanced Machine Learning for Cardiac Arrhythmia Classification},
journal = {PloS one},
year = {2021},
volume = {16},
number = {12},
pages = {e0261571},
url = {https://optimization-online.org/?p=16046}
}
2020
article
The Clique Problem with Multiple-Choice Constraints under a Cycle-Free Dependency Graph
Discrete Applied Mathematics
@article{Baermann2020,
author = {B\"{a}rmann, A. and Gemander, P. and Merkert, M.},
title = {The Clique Problem with Multiple-Choice Constraints under a Cycle-Free Dependency Graph},
journal = {Discrete Applied Mathematics},
year = {2020},
volume = {283},
pages = {59--77},
url = {https://optimization-online.org/?p=14997},
doi = {10.1016/j.dam.2019.12.015}
}
2020
incollection
Energy-Efficient Timetabling in a German Underground System
KoMSO Success Stories on Mathematics in Industry
@incollection{Baermann2020a,
author = {B\"{a}rmann, Andreas and Gemander, Patrick and Martin, Alexander and Merkert, Maximilian and N\"{o}th, Frederik},
title = {Energy-Efficient Timetabling in a German Underground System},
booktitle = {KoMSO Success Stories on Mathematics in Industry},
publisher = {Springer},
year = {2020},
editor = {K\"{u}fer, Karl-Heinz and Maass, Peter and Milde, Anja and Schulz, Volker},
note = {accepted},
url = {https://optimization-online.org/?p=16369}
}
2020
article
On Recognizing Staircase Compatibility
Preprint (Optimization Online), submitted to SIAM Journal on Discrete Mathematics
@article{Baermann2021,
author = {B\"{a}rmann, Andreas and Gemander, Patrick and Martin, Alexander and Merkert, Maximilian},
title = {On Recognizing Staircase Compatibility},
journal = {Preprint (Optimization Online), submitted to {SIAM Journal on Discrete Mathematics}},
year = {2020},
note = {submitted},
url = {https://optimization-online.org/?p=16833}
}
2020
article
Improved energy minimization of iron carbon systems: On the influence of positioning interstitial atoms
Modelling and Simulation in Materials Science and Engineering
@article{Gunkelmann2020,
author = {Gunkelmann, N. and Merkert, M.},
title = {Improved energy minimization of iron carbon systems: On the influence of positioning interstitial atoms},
journal = {Modelling and Simulation in Materials Science and Engineering},
publisher = {{IOP} Publishing},
year = {2020},
volume = {28},
number = {4},
pages = {045005},
url = {https://iopscience.iop.org/article/10.1088/1361-651X/ab6bb6},
doi = {10.1088/1361-651x/ab6bb6}
}
2020
article
Solving Mixed-Integer Nonlinear Optimization Problems using Simultaneous Convexification - a Case Study for Gas Networks
accepted in Journal of Global Optimization
@article{Liers2020,
author = {Liers, F. and Martin, A. and Merkert, M. and Mertens, N. and Michaels, D.},
title = {Solving Mixed-Integer Nonlinear Optimization Problems using Simultaneous Convexification - a Case Study for Gas Networks},
journal = {accepted in {Journal of Global Optimization}},
year = {2020},
note = {accepted},
url = {https://optimization-online.org/?p=16257}
}
2020
article
An Exact Projection-Based Algorithm for Bilevel Mixed-Integer Problems with Nonlinearities
Preprint (Optimization Online), submitted to Journal of Global Optimization
@article{Merkert2021,
author = {Merkert, Maximilian and Orlinskaya, Galina and Weninger, Dieter},
title = {An Exact Projection-Based Algorithm for Bilevel Mixed-Integer Problems with Nonlinearities},
journal = {Preprint (Optimization Online), submitted to {Journal of Global Optimization}},
year = {2020},
note = {submitted},
url = {https://optimization-online.org/?p=16847}
}
2018
article
Staircase compatibility and its applications in scheduling and piecewise linearization
Discrete Optimization
@article{Baermann2018a,
author = {B\"{a}rmann, Andreas and Gellermann, Thorsten and Merkert, Maximilian and Schneider, Oskar},
title = {Staircase compatibility and its applications in scheduling and piecewise linearization},
journal = {Discrete Optimization},
year = {2018},
volume = {29},
pages = {111--132},
url = {http://www.sciencedirect.com/science/article/pii/S1572528618300306},
doi = {10.1016/j.disopt.2018.04.001}
}
2017
phdthesis
Solving Mixed-Integer Linear and Nonlinear Network Optimization Problems by Local Reformulations and Relaxations
Friedrich-Alexander-Universität Erlangen-Nürnberg (FAU)
@phdthesis{Merkert2017,
author = {Merkert, Maximilian},
title = {Solving Mixed-Integer Linear and Nonlinear Network Optimization Problems by Local Reformulations and Relaxations},
school = {Friedrich-Alexander-Universit{\"a}t Erlangen-N{\"u}rnberg (FAU)},
year = {2017},
url = {https://opus4.kobv.de/opus4-fau/frontdoor/index/index/docId/9403}
}
2016
article
Structural Investigation of Piecewise Linearized Network Flow Problems
SIAM Journal on Optimization
@article{Liers2016,
author = {Liers, Frauke and Merkert, Maximilian},
title = {Structural Investigation of Piecewise Linearized Network Flow Problems},
journal = {SIAM Journal on Optimization},
year = {2016},
volume = {26},
number = {4},
pages = {2863-2886},
url = {https://www.mso.math.fau.de/fileadmin/wima/publications/Liers_Merkert_StructInvPWLFlow_PreprintFinal-1016.pdf},
doi = {10.1137/15M1006751}
}
2015
article
Solving Network Design Problems via Iterative Aggregation
Mathematical Programming Computations
@article{Baermann2015,
author = {B\"{a}rmann, Andreas and Liers, Frauke and Martin, Alexander and Merkert, Maximilian and Thurner, Christoph and Weninger, Dieter},
title = {Solving Network Design Problems via Iterative Aggregation},
journal = {Mathematical Programming Computations},
year = {2015},
volume = {7},
number = {2},
pages = {189-217},
organization = {FAU Erlangen N\"{u}rnberg},
url = {http://link.springer.com/article/10.1007/s12532-015-0079-1},
doi = {10.1007/s12532-015-0079-1}
}
2012
inbook
Approximating Infeasible 2VPI-Systems
Graph-Theoretic Concepts in Computer Science: 38th International Workshop, WG 2012, Jerusalem, Israel, June 26-28, 2012, Revised Selected Papers
@inbook{Leithaeuser2012,
author = {Leith{\"a}user, Neele and Krumke, Sven O. and Merkert, Maximilian},
title = {Approximating Infeasible 2VPI-Systems},
booktitle = {Graph-Theoretic Concepts in Computer Science: 38th International Workshop, WG 2012, Jerusalem, Israel, June 26-28, 2012, Revised Selected Papers},
publisher = {Springer Berlin Heidelberg},
year = {2012},
editor = {Golumbic, Martin Charles and Stern, Michal and Levy, Avivit and Morgenstern, Gila},
pages = {225--236},
address = {Berlin, Heidelberg}
}