Jan Zur

Dr. Jan Zur

Email: zur at math.tu-berlin.de

TU Berlin
Institute of Mathematics
Numerical Linear Algebra group
Straße des 17. Juni 136,
10623 Berlin, Germany

Office: MA 373

Research

I am a Lecturer and PostDoc in the Numerical Linear Algebra group of Jörg Liesen. My research interests lie within numerical mathematics and complex analysis.

On the zeros of polyanalytic polynomials (arxiv)
with Olivier Sète, Journal of Mathematical Analysis and Applications, 42(3), 540(1), 128595, 2024.

Number and location of pre-images under harmonic mappings in the plane (arxiv)
with Olivier Sète, Annales Fennici Mathematici, 46(1), 225--247, 2021.
A Newton method for harmonic mappings in the plane (arxiv)
with Olivier Sète, IMA Journal of Numerical Analysis, 40(4), 2777--2801, 2020.
How constant shifts affect the zeros of certain rational harmonic functions (arxiv)
with Jörg Liesen, Computational Methods and Function Theory, 18(4), 583--607, 2018.
The maximum number of zeros of r(z)−z̅ revisited (arxiv)
with Jörg Liesen, Computational Methods and Function Theory, 18(3), 463--472, 2018.

The transport of images method: computing all zeros of planar harmonic mappings by continuation
CMFT 2021, 11th January 2022.
A continuation method to compute all zeros of harmonic mappings
Institut für Angewandte Analysis, TU Bergakademie Freiberg, 18th February 2020.
Computing all zeros of harmonic mappings in the plane
The complex analysis toolbox: new techniques and perspectives, Isaac Newton Institute, 10th September 2019.
Zeros of rational harmonic functions and gravitational lensing
Poster flash, 6th Heidelberg Laureate Forum, 25th September 2018.

Transport of images Toolbox
with Olivier Sète, A Matlab Toolbox to compute zeros of harmonic mappings, 2020.

On the zeros of harmonic mappings: analysis, computation and application
PhD thesis, Institute of Mathematics, Technical University Berlin, 2022
Die Nullstellen spezieller rationaler harmonischer Funktionen und der Gravitationslinseneffekt
Master's thesis, Institute of Mathematics, Technical University Berlin, 2016
Awarded as best Master's degree at Dies Mathematicus 2016.
Polyanalytische Polynome und verallgemeinerte Lanczosalgorithmen
Bachelor's thesis, Institute of Mathematics, Technical University Berlin, 2013.

I was a lecturer and teaching assistant for the following courses at TU Berlin.