Dr. Sören von der Gracht, (geb. Schwenker)

Numerics of partial differential equations

Member - Academic Senior Councillor

Working in research and teaching

E-Mail:
soeren.von.der.gracht@uni-paderborn.de
Phone:
+49 5251 60-3229
ORCID:
0000-0002-8054-2058
Web:
Homepage
Office Address:
Warburger Str. 100
33098 Paderborn
Room:
J2.238

About Sören von der Gracht

Curriculum Vitae

Since 09/2025: Academic Senior Councillor - Paderborn University

05.09.2022 - 31.08.2025: Postdoc - Paderborn University

Project: "Algorithms for Swarm Robotics: Distributed Computing meets Dynamical Systems"

01.10.2019 - 04.09.2022: Postdoc - Universität Hamburg

01.01.2020 - 31.12.2020: Postdoc - HafenCity University Hamburg

Project: "Linear Algebra Driven by Data Science"

01.10.2015 - 30.09.2019: PhD - Universität Hamburg - Mathematics

Thesis: "Genericity in network dynamics"

Supervisor: Prof. Reiner Lauterbach

01.10.2013 - 01.10.2015: Master of Science - Universität Hamburg - Mathematics

Thesis: "Equivariant Bifurcations in R8 and the Ize Conjecture"

Supervisor: Prof. Reiner Lauterbach

01.10.2010 - 30.09.2013: Bachelor of Science - Universität Hamburg - Mathematik

Abschlussarbeit: "Instabilität der 'logrolling' Lösung in Flüssigkristallen unter Scherströmung" ("Instability of the 'logrolling' solution in liquid crystals under shear flow")

Betreuer: Prof. Reiner Lauterbach

Dynamical Systems and applications: Network dynamical systems with diadic and higher-order interactions. Structural investigations via algebraic symmetry methods and their generalizations.

Research

Research Interests

  • Network Dynamical Systems
    • Genericity
    • Bifurcation Theory
    • Application of Representation Theory
    • Connections to Equivariant Dynamics
    • Heteroclinic Dynamics
    • Higher-Order Interactions
    • Applications to Real-World Systems
  • Equivariant DynamicsEquivariant Dynamics
    • Genericity
    • Bifurcation Theory
  • Representation Theory
    • Decomposition of Representations
    • Monoid Representations
    • Quiver Representations
    • Connections to Networks

Selected Projects

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Publications

Latest Publications

Design of Hierarchical Excitable Networks

S. von der Gracht, A. Lohse, ArXiv:2603.06157 (2026).

https://s-vdg.github.io/publication/design-of-hierarchical-excitable-networks/design-of-hierarchical-excitable-networks.pdf arXiv

Homogeneous coupled cell systems with high-dimensional internal dynamics

S. von der Gracht, E. Nijholt, B. Rink, Chaos, Solitons & Fractals 208 (2026).

DOI arXiv

On the Dynamical Hierarchy in Gathering Protocols with Circulant Topologies

R. Gerlach, S. von der Gracht, M. Dellnitz, in: Lecture Notes in Computer Science, Springer Nature Switzerland, Cham, 2025.

DOI arXiv

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.

DOI arXiv

Analyzing Symmetries of Swarms of Mobile Robots Using Equivariant Dynamical Systems

R. Gerlach, S. von der Gracht, ArXiv:2503.07576 (2025).

PDF arXiv

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Teaching


Current Courses

  • Diskrete dynamische Systeme (Master Lehramt GyGe/BK)

Scientific Engagement

Since 2025  |  German Mathematical Society (Deutsche Mathematiker-Vereinigung (DMV))


Since 2019  |  Society for Industrial and Applied Mathematics (SIAM)