Research interests

• 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 participate(d):

• 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

Undergraduate mathematics (including large-scale service courses); including student supervision and academic course organization

• Winter 2024/2025: Mathematik 1 (lecture + tutorial), Hochschule Bremen, School of Nature and Engineering
• Spring 2022: Finite Mathematics (lecture + tutorial), Jacobs University Bremen, Mathematical Sciences
• Spring 2022: Introduction to dynamical systems (pro-seminar), Jacobs University Bremen, Mathematical Sciences

Short CV

• since May 2025: Tutoring first-year students in Mathematics and related areas
• Feb 2025 - May 2025: Research assistant at Hochschule Bremen
• Oct 2024 - Mar 2025: Lecturer in Mathematics at Hochschule Bremen
• Jun 2023 - Jun 2024: Postdoctoral researcher at University of Münster (Institute for Analysis and Numerics); supervision: M. Pirner
• Sep 2022 - Feb 2023: Internship (IT sector)
• Jan 2022 - Jun 2022: Lecturer in Mathematics at Jacobs University Bremen (now: Constructor University Bremen)
• Apr 2017 - Sep 2021: PhD (Dr. rer. nat.) in Mathematics at University of Bremen, cf. MGP; supervision: J. Rademacher, M. Keßeböhmer

For more information, see CV (pdf).