My research deals with different topics of pure and applied mathematics, touching the broad fields of analysis, ergodic theory and dynamical systems. Moreover, I enjoy teaching and have taught some Math courses for undergraduates.
I was a postdoc at the Institute for Analysis and Numerics of the University of Münster supervised by Prof. Dr. Marlies Pirner and obtained my PhD (Dr. rer. nat.) in Mathematics at the University of Bremen under the supervison of Prof. Dr. Jens Rademacher and Prof. Dr. Marc Keßeböhmer. Most recently, I worked as a lecturer and research assistant at HS Bremen.
Further details and additional information can be found in my CV.
Research
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
Publications
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 35:2199–2235, (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]
In progress
- Discrete hypocoercivity for a nonlinear kinetic reaction model without initial close-to-equilibrium assumption. (working title)
joint work with L. Liu and M. Pirner
Theses
- D. Ulbrich.
Ergodic theory of nonlinear waves in discrete and continuous excitable media.
Diss., 2021 [DOI]
Projects
I participate(d) the following projects:
-
DFG 456849348, University of Münster, Department of Mathematics, 2021–2026
Title: Modeling and mathematical description of concrete physical applications in the context of kinetic theory using the Bathnagar-Gross-Krook equation
-
DFG 384027439, University of Bremen, Department of Mathematics, 2017–2021
Title: Ergodic theory of nonlinear waves in discrete and continuous excitable media
Teaching
Winter 2024/2025
Spring 2022
