D. Ulbrich

About

I am a mathematician with research background 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.

Among other things, I was a postdoc at the Institute for Analysis and Numerics of the University of Münster and earned my PhD (Dr. rer. nat.) in Mathematics at the University of Bremen.

Currently, I am open to academic positions, including postdoctoral roles and teaching-focused positions. In particular, I have a strong interest in combining research with high-quality undergraduate teaching and curriculum development.

Research

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

I am also open to new and interdisciplinary research directions beyond the areas listed.

Projects participation

• 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

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]

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
• Spring 2022: Finite Mathematics, Jacobs University Bremen
• Spring 2022: Introduction to dynamical systems (pro-seminar)

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, University of Münster (Institute for Analysis and Numerics), supervision: Prof. Dr. M. Pirner
• Jan 2022 – Jun 2022: Lecturer in Mathematics, Jacobs University Bremen

Education

• Oct 2017 – Sep 2021: PhD (Dr. rer. nat.) in Mathematics, University of Bremen, supervision: Prof. Dr. J. Rademacher, Prof. Dr. M. Keßeböhmer, also see MGP
• 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)