Dr. Raphael Gerlach
Academic Councillor for a Limited Period
- E-Mail:
- raphael.gerlach@uni-paderborn.de
- Phone:
- +49 5251 60-5022
- ORCID:
- 0009-0002-4750-2051
-
- Office Address:
-
Technologiepark 21
33100 Paderborn - Room:
- TP21.1.25
- Office hours:
By appointment
About Raphael Gerlach
Curriculum Vitae
Since 01.04.2022: Managing Director
Institute of Industrial Mathematics (IFIM), Paderborn University
13.01.2017 - 31.03.2022: Research Assistant
Chair of Applied Mathematics, Paderborn University
03.12.2021: PhD-Thesis
Title: "The Computation and Analysis of Invariant Sets in Infinite-Dimensional Systems",
Supervision: Prof. Dr. Michael Dellnitz, Paderborn University
Research
Research Interests
- Computational Dynamics: Attractor & Manifold Approximation, Set-Oriented Numerics, Numerical Analysis
- Distributed Dynamical Systems: Distributed Computing, Swarm Algorithms and Robots, Multi-Agent Systems
- Data Science: Manifold Learning Techniques, Dimensionality Reduction, Intrinsic Coordinates, Harmonic Analysis
- Embedding Theory: Delay Embeddings, Embeddings of Finite-Dimensional Sets of Banach Spaces, Genericity
Publications
Latest Publications
Symmetry Preservation in Swarms of Oblivious Robots with Limited Visibility
R. Gerlach, S. von der Gracht, C. Hahn, J. Harbig, P. Kling, in: S. Bonomi, L. Galletta, Etienne Rivière, Valerio Schiavoni (Eds.), 28th International Conference on Principles of Distributed Systems (OPODIS 2024), Schloss Dagstuhl -- Leibniz-Zentrum für Informatik, 2025.
Analyzing Symmetries of Swarms of Mobile Robots Using Equivariant Dynamical Systems
R. Gerlach, S. von der Gracht, ArXiv:2503.07576 (2025).
On the Dynamical Hierarchy in Gathering Protocols with Circulant Topologies
R. Gerlach, S. von der Gracht, M. Dellnitz, ArXiv:2305.06632 (n.d.).
The Computation and Analysis of Invariant Sets of Infinite-Dimensional Systems
R. Gerlach, The Computation and Analysis of Invariant Sets of Infinite-Dimensional Systems, 2021.
The Approximation of Invariant Sets in Infinite Dimensional Dynamical Systems
R. Gerlach, A. Ziessler, in: O. Junge, O. Schütze, S. Ober-Blöbaum, K. Padberg-Gehle (Eds.), Advances in Dynamics, Optimization and Computation, Springer International Publishing, Cham, 2020, pp. 66–85.
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