Mathematician with research experience in nonlinear analysis, dynamical systems, ergodic theory, and kinetic theory, with several years of expertise 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 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

Teaching Profile

I am strongly committed to high-quality undergraduate teaching and to long-term teaching-oriented academic roles. My teaching combines mathematical rigor with accessibility and aims to support diverse student backgrounds in both large introductory courses and more advanced formats.

Teaching Experience

• 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

Teaching Approach

• Clear structuring of complex material with emphasis on intuition and examples
• Integration of exercises and active participation in lectures
• Bridging theory and applications to increase student motivation
• Experience with large and heterogeneous student groups

Student Support

• Supervision of undergraduate students
• One-on-one mentoring and exam preparation
• Focus on long-term learning success and conceptual understanding

Short CV

Academic Positions

Education

Additional Experience