Dr. Dennis Ulbrich
About
Mathematician with research experience in nonlinear analysis, dynamical systems, ergodic theory, and kinetic theory, with several years of proficiency and strong commitment to undergraduate teaching, student supervision, and academic course organization.
News
Open to academic positions, including postdoctoral roles and teaching-focused positions. Strong interest in combining research with high-quality undergraduate teaching and curriculum development.
Research interests
My research interests include, but are not limited to:
- Ordinary and partial differential equations and their dynamics
- Nonlinear wave solutions and their ergodic properties
- Kinetic theory, in particular entropy methods
- Boltzmann equation and its BGK-type approximations
- Long-time behavior of solutions (hypocoercivity)
- Physical applications
- Models of chemical reactions
Publications
Peer-reviewed journal articles
- A. Pauthier, J.D.M. Rademacher, D. Ulbrich
Weak and strong interaction of excitation kinks in scalar parabolic equations
J Dyn Diff Equat35, 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, 41 (2020), no. 5, 1397–1430. [DOI | arXiv]
Ongoing work
- Discrete hypocoercivity for a nonlinear kinetic reaction model without initial close-to-equilibrium assumption
L. Liu, M. Pirner, D. Ulbrich
Thesis
- D. Ulbrich
Ergodic theory of nonlinear waves in discrete and continuous excitable media
Diss., 2021. [DOI]
Projects
Projects in which I participated:
- DFG 456849348
Modeling and mathematical description of concrete physical applications in the context of kinetic theory using the Bathnagar-Gross-Krook equation - DFG 384027439
Ergodic theory of nonlinear waves in discrete and continuous excitable media
Teaching
Independent execution of university courses (lectures, tutorials and exams), particularly in the service area for engineering degree programs:
- Winter 2024/2025: Mathematik 1, Hochschule Bremen, School of Nature and Engineering
- Spring 2022: Finite Mathematics, Jacobs University Bremen, Mathematical Sciences
- Spring 2022: Introduction to dynamical systems (pro-seminar), Jacobs University Bremen, Mathematical Sciences
Short CV
Academic Positions
- since May 2025: Tutoring mathematics students
- Feb 2025 – May 2025: Research assistant, Hochschule Bremen
- Oct 2024 – Mar 2025: Lecturer in Mathematics, Hochschule Bremen
- Jun 2023 – Jun 2024: Postdoctoral researcher
- Jan 2022 – Jun 2022: Lecturer, Jacobs University Bremen
Education
- Oct 2017 – Sep 2021: PhD (Dr. rer. nat.) in Mathematics, University of Bremen
- Oct 2016 – Oct 2017: Brückenstipendium in Mathematics, University of Bremen
- Oct 2011 – Sep 2016: B.Sc. and M.Sc. in Mathematics, University of Bremen
Additional Experience
- Sep 2022 – Feb 2023: Internship (IT sector)