About
Currently, I am a postdoctoral researcher at Faculty 4 (ZIMT) of the Bremen University of Applied Sciences.
Beforehand, I was a postdoctoral researcher at the Institute for Analysis and Numerics at the University of Münster.
I earned my PhD degree in Mathematics (Dr. rer. nat. in Mathematics) at the University of Bremen, cf. MGP.
Some more details and further information, including my teaching activities, can be found below.
Research interests
- Ordinary and partial differential equations and their dynamics
- Dynamical Systems and Ergodic Theory
- Kinetic Theory and Entropy methods
- Boltzmann equation and its BGK-type approximations
- Long-time behavior of solutions (Hypocoercivity)
- Models of chemical reactions
- Physical applications
Project participation
Modeling and mathematical description of concrete physical applications in the context of
kinetic theory using the Bathnagar-Gross-Krook equation
- Term 2021 - 2025
- Participation since 6.2023
AI-based transfer, analysis and review of handwritten documents to relieve teachers
- Term 12.2024 - 5.2026
- Participation since 2.2025
Ergodic theory of nonlinear waves in discrete and continuous excitable media
- Term 2017 - 2021
- Participation 2017 - 2021
Publications
In progress
- Discrete hypocoercivity for a nonlinear generation-recombination model.
joint work with L. Liu and M. Pirner
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]
Short CV
Hochschule Bremen
Postdoctoral researcher
from 2.2025
Faculty 4: School of Electrical Engineering and Computer Science
- Conception and development of deep learning approaches to text recognition and extraction
- Development of a modern application for the usage of the developed deep learning approaches
- Supervision: Prof. P. Draheim
University of Münster
Postdoctoral researcher
6.2023 - 6.2024
Faculty of Mathematics and Computer Science
Institute for Analysis and Numerics
- Research on discrete hypocoercivity within DFG project 456849348:
- Supervision: Prof. M. Pirner
- Keywords:
- Hypocoercivity
- Kinetic equations
- BGK-type approximations
- Chemical reactions
- Entropy methods
University of Bremen
PhD student and research assistant
PhD degree (Dr. rer. nat.) in 8.2021
4.2016 - 9.2021
Department of Mathematics
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
University of Bremen
Study of Mathematics
Master and Bachelor degree (M.Sc. and B.Sc.)
until 4.2016
Department of Mathematics
- 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)
Teaching
Hochschule Bremen
Lecturer
Winter semester 2024/25
Faculty 5: School of Nature and Engineering
- Mathematik 1 (MATH1)
- Undergraduate lecture
Jacobs University Bremen
Lecturer
Spring term 2022
School of Science
- Finite Mathematics
- Undergraduate lecture
- Introduction to Dynamical Systems
- proseminar
Other
Grants
- Brückenstipendium, Universität Bremen, 2016 – 2017
Supervision
- University of Bremen, 2020 – 2021
Student Research Project
Wave patterns in cellular automata for excitable media
Organisation etc.
- University of Bremen, 2016 – 2021
Supporting several summer and winter schools - University of Bremen, 2017 – 2021
Maintaining the Mathematical Collection and creating its website
Contact
Hochschule Bremen
Fakultät 4
Flughafenallee 10
28199 Bremen
ZIMT, Office 236
