About

I am a mathematician with a research background in nonlinear analysis, dynamical systems, ergodic theory, and kinetic theory, with several years of proficiency and a 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 exploring new professional opportunities in academia and industry.

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.

Project Participation

DFG 456849348
Research Grant

Modeling and mathematical description of concrete physical applications in the context of kinetic theory using the Bathnagar-Gross-Krook equation.

DFG 384027439
Research Grant

Ergodic theory of nonlinear waves in discrete and continuous excitable media.

Publications

Articles (peer-reviewed)

  • ◆
    D. Ulbrich: Hypocoercivity of a BGK model for chemical reactions. Kinetic and Related Models, 17(2), 241-274, 2024.
    [DOI] [arXiv:2301.07604]
  • ◆
    J. Rademacher, D. Ulbrich: Ergodic properties of nonlinear waves in regular trees of excitable cells. Physica D: Nonlinear Phenomena, 442, 133519, 2022.
    [DOI] [arXiv:2202.13840]

Preprints

  • ◆
    M. Breden, C. Schmeiser, D. Ulbrich: Hypocoercivity and convergence to equilibrium for a kinetic model of chemical reactions. Preprint, 2024.
    [arXiv:2405.02102]

Teaching

University of Münster (as Postdoc / Lecturer):

  • ◆ Seminar on Kinetic Theory (Summer 2024)
  • ◆ Exercises in Partial Differential Equations (Winter 2023/24)
  • ◆ Calculus for Biologists and Geoscientists (Winter 2023/24)

University of Bremen (as Teaching Assistant):

  • ◆ Analysis 1, 2 & 3 (Linear & Nonlinear Analysis)
  • ◆ Linear Algebra 1 & 2
  • ◆ Mathematics for Engineers and Physicists

Short CV

Postdoctoral Researcher University of Münster, Institute for Analysis and Numerics | 2023 – 2024
PhD (Dr. rer. nat.) in Mathematics University of Bremen | 2018 – 2023

Thesis: "Ergodic properties of nonlinear waves in excitable media and hypocoercivity of a BGK model"

M.Sc. & B.Sc. in Mathematics