Sören von der Gracht

Sören von der Gracht
Universität Paderborn | UPB · Department of Mathematics

Dr. rer. nat.

About

8
Publications
363
Reads
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13
Citations
Citations since 2017
7 Research Items
13 Citations
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2017201820192020202120222023012345
Additional affiliations
October 2020 - September 2022
University of Hamburg
Position
  • PostDoc
January 2020 - December 2020
HafenCity University Hamburg
Position
  • Research Associate
Description
  • Project: Innovative Teaching - Linear Algebra driven by Data Science
October 2015 - December 2019
University of Hamburg
Position
  • PhD Student
Education
October 2015 - December 2019
University of Hamburg
Field of study
  • Mathematics
October 2013 - September 2015
University of Hamburg
Field of study
  • Mathematics
October 2010 - September 2013
University of Hamburg
Field of study
  • Mathematics

Publications

Publications (8)
Article
Full-text available
We prove that steady state bifurcations in finite-dimensional dynamical systems that are symmetric with respect to a monoid representation generically occur along an absolutely indecomposable subrepresentation. This is stated as a conjecture in B. Rink and J. Sanders, "Coupled cell networks and their hidden symmetries", SIAM J. Math. Anal., 46 (201...
Article
Full-text available
Dynamical systems often admit geometric properties that must be taken into account when studying their behaviour. We show that many such properties can be encoded by means of quiver representations. These properties include classical symmetry, hidden symmetry and feedforward structure, as well as subnetwork and quotient relations in network dynamic...
Article
Full-text available
We investigate bifurcations in feedforward coupled cell networks. Feedforward structure (the absence of feedback) can be defined by a partial order on the cells. We use this property to study generic one-parameter steady state bifurcations for such networks. Branching solutions and their asymptotics are described in terms of Taylor coefficients of...
Preprint
Full-text available
We investigate bifurcations in feedforward coupled cell networks. Feedforward structure (the absence of feedback loops) can be defined by a partial order on the cells. We use this property to study generic one-parameter steady state bifurcations for such networks. Branching solutions and their asymptotics are described in terms of Taylor coefficien...
Article
Full-text available
The authors of Berg et al. [J. Algebra 348 (2011) 446–461] provide an algorithm for finding a complete system of primitive orthogonal idempotents for CM, where M is any finite R-trivial monoid. Their method relies on a technical result stating that R-trivial monoids are equivalent to so-called weakly ordered monoids. We provide an alternative algor...
Preprint
Full-text available
Dynamical systems often admit geometric properties that must be taken into account when studying their behaviour. We show that many such properties can be encoded by means of quiver representations. These properties include classical symmetry, hidden symmetry and feedforward structure, as well as subnetwork and quotient relations in network dynamic...
Preprint
Full-text available
The authors of [Primitive orthogonal idempotents for R-trivial monoids, Journal of Algebra] provide an algorithm for finding a complete system of primitive orthogonal idempotents for CM, where M is any finite R-trivial monoid. Their method relies on a technical result stating that R-trivial monoids are equivalent to so-called weakly ordered monoids...
Article
Full-text available
In this paper we continue the study of group representations which are counterexamples to the Ize conjecture. As in the previous papers by Lauterbach [14] and Lauterbach & Matthews [15] we find new infinite series of finite groups leading to such counterexamples. These new series are quite different from the previous ones, for example the group ord...

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