The ALOP RTG Team
Overview over the ALOP RTG members and associates.
Copositive Optimization in Infinite Dimensional Spaces, Generalization of the Copositive and Completely Positive Cone, Combination of Conic Convex Optimization and Functional Analysis, Application: Optimization Problems on Infinite Graphs
Computational Statistics, Optimization in Statistics, Data Science/Data Analysis, Small Area Estimation, Statistical Modeling
Prinicpal Investigator, Vice Speaker
Mirjam Dür was born in Vienna, Austria, where she received a M.Sc. degree in Mathematics from the University of Vienna in 1996. She received a PhD in applied mathematics from University of Trier in 1999. After that, she worked as an assistant professor at Vienna University of Economics and Business Administration, as a junior professor at TU Darmstadt, and as an Universitair Docent at the University of Groningen, The Netherlands. From October 2011 unti October 2017, she was a professor of Nonlinear Optimization in Trier. Prof. Dür recently accepted a call to the University of Augsburg. However, she will continue to serve as a Principal Investigator with the Research Training Group ALOP.
Prof. Dür is a member of the editorial boards of the journals Mathematical Methods of Operations Research, Journal of Global Optimization, and Optimization Methods and Software, and of the book series Springer Briefs in Optimization. In 2010, she was awarded a VICI-grant by the Dutch Organisation for Scientific Research (NWO), and in 2012 a GIF Research grant by the German-Israeli Foundation for Scientific Research and Development.
Leonhard Frerick was born in Dorsten, Germany. He received his Diploma degree 1991 as well as his Phd 1994 from Trier University.
From 1995 till 2006 he worked as an assistant at the Bergische Universität Wuppertal, where he received his Habitation 2001. He has been a full professor for Analysis at Trier University since October 2006.
He is ordinary member of the Institute of Pure and Applied Mathematics (IUMPA) at the technical University of Valencia (UPV).
Since 2010 he responsible for the Ada-Lovelace-Projekt Trier.
Mixed-integer programming, operations research, combinatorial optimization for statistics, complex-analytic methods for IP
PhD Student, ALOP Associate
Completely Positive Matrix Factorizations, Nonnegative Matrix Factorizations and Alternating Projection. These topics are especially connected to matrix theory, combinatorial optimization, quadratic optimization, completely positive optimization and second order cone programming.
low-rank tensor techniques.
Stochastic Representation of Solutions of PDEs related to (Jump) Diffusions, Applications thereof in Stochastic Control and Mathematical Finance (e.g. Portfolio Optimization), Monte Carlo Simulation
Sparse Regression, Coefficient Subset Selection, Mixed Integer Optimization, Robust Regression, Survey Statistics
Christina Müller studied Business Mathematics at Ulm University and Trier University. After receiving her M.Sc. in 2014 she started working as a scientific assistant at the Department of Biogeography at Trier University. Her Phd project is a joint work between the research group of Prof. Dr. Sachs (Numerics) and the research group of Prof. Dr. Veith (Biogeography). In 2016 she joined the RTG on Algorithmic Optimization as an Associate Member.
She successfully defended her thesis in January 2018.
Survey Statistics, Robust Formulation of Uncertain Optimization Problems, Multiobjective Optimization, Multi-Criteria Decision Making, Benders Decomposition Method, Fuzzy Optimization
Ph.D. Student, ALOP Associate
Combinatorial optimization, mixed-integer programming, extended formulations, graph algorithms
Ph.D. Student, ALOP Associate
Multivariate Optimal Allocation in Survey Statistics, Calibration in Survey Statistics, Balanced Sampling, Multi-Criteria Optimization, Numerical Optimization.
Ekkehard Sachs was born in Frankfurt (Main), where he also started his studies in Mathematics. He obtained in 1972 a Diploma from the RWTH Aachen and in 1975 a doctoral degree from the Technical University Darmstadt, where he also finished his habilitation in 1980. He served as an assistant professor at the Technische Universität Berlin from 1979 until 1982 and as assistant and associate professor from 1982 until 1986 at the North Carolina State University. He held full professor positions at the Universität Trier from 1982 until 2015 and at Virginia Tech from 2000 until 2008. Since 2015 he is a senior research professor at the Universität Trier.
PhD Student, ALOP Associate
Christina Schenk received her B.Sc. and M.Sc degrees in Applied Mathematics in 2011 and 2013 from Trier University. Since 2013, she has worked as a scientific assistant in the research group of Prof. Dr. Volker Schulz on PDE-Constrained Optimization at Trier University. Ms. Schenk became an associate member of the research training group on Algorithmic Optimization in April 2016.
Principal Investigator, Speaker
Volker Schulz received his diploma (M.Sc.) in mathematics from the University of Augsburg in 1990 and his PhD in 1996 form the University of Heidelberg, where he also finished his habilitation in 2000. From 1999 to 2001, he served as head of the research group on nonlinear optimization and inverse problems at WIAS, Berlin. Since 2001, he is full professor at Trier University.
He is a member of the editorial boards of the journals SIAM Journal on Scientific Computing, Computing and Visualization in Science, Acta Applicandae Mathematica and Mathematical Modeling and Applied Computing. He is the speaker of the DFG-funded research training group on Algorithmic Optimization.
Frank Seifried holds a PhD from University of Kaiserslautern, where he was an assistant professor for mathematical finance from 2011 to 2015. In 2015 he joined Trier University as a professor for probability theory. He is a scientific advisor of Fraunhofer ITWM Research Institute and serves on the editorial board of Mathematical Methods of Operations Research.
Martina Shaw was born in Burbach (Siegerland). After emigrating to the U.S. in 1983, she returned to Germany in 2015 and joined the RTG ALOP in April 2016. Her education and professional background is in legal administration.
Optimal Control Theory, Partial Integro Differential Equations on Bounded and Unbounded Spatial Domains, Neoclassical Growth Theory, Spatial Economics
Data Smoothing, High Performance Computing, Numerical Optimization, Small Area Estimation.
Post-doctoral Researcher, Associate Member
– Shape optimization
– Constrained optimization problems, in particular, constraints in the form of partial differential equations or variational inequalities
– Shape spaces as Riemannian manifolds and diffeological spaces
– Numerical methods
Graph theory, greedy strategy and submodularity,
online optimization, bandit problem, scheduling problem.