Education
Dr. rer. nat. – Mathematics
University of Bremen, Department of Mathematics 4.2017 — 9.2021
- PhD thesis: Ergodic theory of nonlinear waves in discrete and continuous excitable media
- Advisors: Prof. J. Rademacher, Prof. M. Keßeböhmer
- Referees: Prof. J. Rademacher (University of Bremen), Prof. I. Melbourne (Warwick University)
- cf. MGP
Brückenstipendium of the University of Bremen
University of Bremen, Department of Mathematics 4.2016 — 4.2017
- Further studies
- Extensions of the results of my Master’s thesis
- Successful acquisition of third-party funding (DFG) for my PhD project
M.Sc. and B.Sc. in Mathematics
University of Bremen until 4.2016
- M.Sc. thesis: Dynamics of the three-state 1D Greenberg-Hastings cellular automaton
- Referees: Prof. J. Rademacher, Dr. T. Samuel (University of Exeter)
- B.Sc. thesis: Unerwartete Fehler bei bedingten Erwartungswerten und Wahrscheinlichkeiten
- Referees: Prof. W. Brannath (University of Bremen), Dr. K. Falk (University of Kiel)
Employment
Postdoctoral researcher
Hochschule Bremen, School of Electrical Engineering and Computer Science 2.2025 — 5.2025
- Project work: AI-based transmission, analysis and verification of handwritten documents
Lecturer in Mathematics
Hochschule Bremen, School of Nature and Engineering 10.2024 — 3.2025
- Mathematik 1
Postdoctoral Researcher
University of Münster, Department of Mathematics, Institute for Analysis and Numerics 6.2023 — 6.2024
- Research on discrete hypocoercivity within DFG project 456849348
- Keywords:
- Hypocoercivity
- Kinetic equations
- BGK-type approximations
- Chemical reactions
- Entropy methods
- Supervision: Prof. M. Pirner
Non-academic professional activities
Bremen, Köln 9.2022 — 2.2023
Lecturer in Mathematics
Jacobs University Bremen, Mathematical Sciences 1.2022 — 6.2022
- Finite Mathematics
- Introduction to Dynamical Systems
Research assistant (PhD student)
University of Bremen, Department of Mathematics 4.2017 — 9.2021
Research groups: Nonlinear Analysis and Applied Analysis, Stochastics and Dynamical Systems
- Research within DFG project number 384027439
- PhD thesis: Ergodic theory of nonlinear waves in discrete and continuous excitable media:
- Advisors: Prof. J. Rademacher, Prof. M. Keßeböhmer
- Referees: Prof. J. Rademacher (University of Bremen), Prof. I. Melbourne (Warwick University)
- Keywords:
- Nonlinear analysis
- Ergodic Theory
- PDE
- Excitable media
- Cellular automata
- Dynamical Systems
Publications
In progress
Refereed journal articles
- A. Pauthier, J.D.M. Rademacher, D. Ulbrich.
Weak and strong interaction of excitation kinks in scalar parabolic equations.
J Dyn Diff Equat. Published 30 July 2021; Volume 35, pages 2199-2235, (2023) [DOI] [arXiv] - M. Keßeböhmer, J.D.M. Rademacher, D. Ulbrich.
Dynamics and topological entropy of 1D Greenberg-Hastings cellular automata.
Ergodic Theory and Dynamical Systems. 2021;41(5):1397-1430 [DOI] [arXiv]
Theses
- D. Ulbrich.
Ergodic theory of nonlinear waves in discrete and continuous excitable media.
Dissertation, 2021 [DOI]
Other
Grants
Brückenstipendium
University of Bremen, Department of Mathematics 4.2016 — 4.2017
Supervision
Student Research Project
University of Bremen, Department of Mathematics 2021 — 2022
- Wave patterns in cellular automata for excitable media, see here
Organisation
Administrational tasks
University of Bremen, Department of Mathematics 2016 – 2021
- Supporting several summer and winter schools
- Maintaining the Mathematical Collection of the University of Bremen and creating its website
IT skills
- LaTeX: advanced
- Matlab, Mathematica, Java, C++, Python, HTML, CSS, GitHub, Oracle PL/SQL: basic
- Oracle PL/SQL Fundamentals vol. I & II (Udemy, 2022)
Languages
- German: mother tongue
- English: C1
References
On request