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
Carina was born in Nova Prata do Iguacu, State of Parana, Brazil. She studied Mathematics at the State University of the West of Parana, receiving her diploma in 2017. She received her MSc degree in February 2019 from the Federal University of Parana. Since April 2019, she is working as a PhD student in the research training group (RTG) “Algorithmic Optimization” (ALOP) at Trier University.
Carina completed her PhD in May 2022.
Robust optimization in big data statistics.
Alumna, ALOP Associate
Applied statistics, especially survey statistics and estimation problems therein under complex survey designs
He successfully defended his thesis and now holds a Post-Doctoral position at the University of Augsburg.
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, tensor completion, Riemannian optimization, optimal control
Mathematical Finance, Mean Field Games, Stochastic Control
Sparse Regression, Coefficient Subset Selection, Mixed Integer Optimization, Robust Regression, Survey Statistics
Marina studied Mathematics at the University of Alicante and obtained a Master in Statistics and Operations Research at the University of Murcia. She received her PhD in May 2019 from the University of Sevilla. Her PhD thesis is titled “Contributions to Robust and Bilevel Optimization Models for Decision-making”. From September 2019, until February 2020 she served as a postdoctoral researcher in the research training group (RTG) “Algorithmic Optimization” (ALOP) at Trier University. Subsequently, she has accepted a Professor position at the University of Valencia.
Mixed-integer linear and nonlinear programming in different fields as bilevel optimization, robust optimization, or mathematical programs with complementarity constraints
Structure-preserving discretization and model reduction, Simulation of network systems
Daniel Luft received his BSc in Mathematics at the Albert-Ludwigs University of Freiburg in 2016. He successfully completed his MSc in Applied Mathematics at the University of Trier in 2018, and since then is Associated Member of ALOP and working on his doctoral thesis under supervision of Prof. Volker Schulz.
Shape Optimization, PDE Theory and high performance numerical optimization, as well as differential geometric and non-smooth aspects of these areas
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
Combinatorial optimization, mixed-integer programming, extended formulations, graph algorithms
Alumni, ALOP Associate
Multivariate Optimal Allocation in Survey Statistics, Calibration in Survey Statistics, Balanced Sampling, Multi-Criteria Optimization, Numerical Optimization.
Christina Schenk received her Doctorate in Natural Sciences in 2018. Having served as a scientific assistant in the research group of Prof. Dr. Volker Schulz on PDE-Constrained Optimization at Trier University since 2013, Ms. Schenk became an associate member of the research training group on Algorithmic Optimization in April 2016. After two years as a a Postdoctoral Fellow at Carnegie Mellon University in Pittsburgh, Pennsylvania, USA, she recently accepted a position at Basque Center for Applied Mathematics in Bilbao, Spain.
Jan Sokolowski studied Business Mathematics at Trier University from October 2013 to September 2018. He received his BSc in February 2017 and his MSc in September 2018. From October 2018 to March 2022 he worked as a PhD student in the course of a collaboration between the research group of Prof. Volker Schulz and the Basics & Mathematical Models department of IEE S.A. and became associate member of ALOP in 2020. He submitted his thesis with the title “Hybrid Modelling of Dynamical Systems in Mechanics” in January 2022 and received his Doctoral degree in March 2022.
Parameter Estimation for Dynamical Systems, System Identification, Mathematical Modelling of Physical Systems, Optimization for (Deep) Neural Networks, Signal Processing, Hybrid Modelling
Laura received her Master of Science in Business Mathematics at Trier University in 2014. She started my PhD in the working group of Prof. Dr. Ekkehard Sachs and in 2016, became a researcher at ALOP.
Optimal Control Theory, Partial Integro Differential Equations on Bounded and Unbounded Spatial Domains, Neoclassical Growth Theory, Spatial Economics
Surrogate Optimization via Space-Mapping, Nonlinear Model Order Reduction, Finite Element Method
Mean-Field Modeling, Suspension Modeling, Asymptotic Analysis, Stochastic Elastic Beam Models
In July 2016, Christian Vollmann received his M.Sc. in Applied Mathematics from the University of Trier and subsequently joined the Research Training Group ALOP to finish his Phd in July 2019. Since that time he serves in the position of a postdoctoral associate.
- Nonlocal models
- Finite element methods
- Shape optimization
Alumni, Scientific Researcher
- Numerical Optimization and Modelling
- Large Scale Optimization Algorithms
- Small Area Estimation.
Alumni, 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
Yida Zhu was born in Shanghai, China.
He studied Mathematics at the University Hamburg, receiving his B.Sc. in March 2013 and M.Sc. in May 2016.
Beginning in June 2016, he was working as a PhD student in the research training group (RTG) “Algorithmic Optimization” (ALOP) at Trier University.
In October 2019, he successfully defended his thesis on a competitive analysis of scheduling problems and list accessing problems.
Graph theory, greedy strategy and submodularity, online optimization, bandit problem, scheduling problem.