FG Numerische Lineare Algebra: Jan Zur

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The transport of images method: computing all zeros of harmonic mappings by continuation [1]
with Olivier Sète, IMA Journal of Numerical Analysis, 2021.
arxiv Version [2]
Number and location of pre-images under harmonic mappings in the plane [3]
with Olivier Sète, Annales Fennici Mathematici, 46(1), 225--247, 2021.
arxiv Version [4]

A Newton method for harmonic mappings in the plane [5]
with Olivier Sète, IMA Journal of Numerical Analysis, 40(4), 2777--2801, 2020
arXiv version [6]
How constant shifts affect the zeros of certain rational harmonic functions [7]
with Jörg Liesen, Computational Methods and Function Theory, 18(4), 583--607, 2018.
arXiv version
[8]
The maximum number of zeros of $r(z) - overline{z}$ revisited [9]
with Jörg Liesen, Computational Methods and Function Theory, 18(3), 463--472, 2018.
arXiv version
[10]

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 [11]
The complex analysis toolbox: new techniques and perspectives, Isaac Newton Institute, 10th September 2019.
Zeros of rational harmonic functions and gravitational lensing [12]
Poster flash, 6th Heidelberg Laureate Forum, 25th September 2018.

Transport of images Toolbox [13]
with Olivier Sète, A Matlab Toolbox to compute zeros of harmonic mappings, 2020.

Die Nullstellen spezieller rationaler harmonischer Funktionen und der Gravitationslinseneffekt.
Master's Thesis, Department of Mathematics, Technical University Berlin, 2016. Awarded as best Master's degree at Dies Mathematicus 2016 [14]
Polyanalytische Polynome und verallgemeinerte Lanczosalgorithmen.
Bachelor's Thesis, Department of Mathematics, Technical University Berlin, 2013.

------ Links: ------

[1] https://doi.org/10.1093/imanum/drab040

[2] https://arxiv.org/abs/2011.00079

[3] https://doi.org/10.5186/aasfm.2021.4614

[4] https://arxiv.org/abs/1908.08759

[5] https://doi.org/10.1093/imanum/drz042

[6] https://arxiv.org/abs/1901.05242

[7] https://doi.org/10.1007/s40315-018-0240-8

[8] https://arxiv.org/abs/1702.07593

[9] https://doi.org/10.1007/s40315-017-0231-1

[10] https://arxiv.org/abs/1706.04102

[11] https://www.newton.ac.uk/seminar/20190910150015301

[12] https://jzur.github.io/www.doi.org/10.13140/RG.2.2
.28651.80169

[13] https://github.com/transportofimages

[14] http://www3.math.tu-berlin.de/dies/2016/index.html

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