About me

My name is Jannik Daun. I am a mathematics PhD student (since 2026) in the functional analysis research group at the University of Wuppertal. Before that i did my masters in mathematics and a bachelor in physics at the same university.

Outside of math and physics i am interested in the gym, gaming, bjj, cycling, coding and tinkering with my nixOS or nvim configuration. I also post (mostly mathematics) to my blog.

Research Interests

Currently my research is in the area of control and observation for strongly continuous operator semigroups. In particular the relationship between the infinite dimensional Hautus test and exact observability for normal generators.

Contact

If you want to collaborate with me on some research (or want to contact me for some other reason) feel free to contact me at jdaun[the symbol]uni-wuppertal.de.

Preprints

• J. Daun, and B. Jacob, “On the Hautus test for exact observability of normal semigroups,” 2026, arXiv:2608.09407.
• J. Daun, D.J. Happ, B. Jacob, and C. Totzeck, “Erratum and original of Port-Hamiltonian structure of interacting particle systems and its mean-field limit,” 2026, arXiv:2301.06121.

Workshop and Conference Talks

• ISem28 talk on the maximal equicontinuous factor (with Matti Bleckmann, Pablo Lummerzheim and coordinated by Lino Haupt)
• PHSymposium24 talk on linear quadratic optimal control for discrete time systems (was part of a larger talk)

Code projects

• Interacting particle system simulation written in Python
• Python library to easily control picoscope oscilloscopes
• Haskell code to calculate the coefficients in the series expansion of eigenvalues of a perturbed matrix (Rayley-Schrödinger series)
• Markov Chain Monte Carlo simulation of the phase transition in the 2D Ising model written in Rust