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Recent publications and preprints
- The transport of images method: computing all zeros of harmonic mappings by continuation
with Olivier Sète, IMA Journal of Numerical Analysis, 2021.
arxiv Version - Number and location of pre-images under harmonic mappings in the plane
with Olivier Sète, Annales Fennici Mathematici, 46(1), 225--247, 2021.
arxiv Version
Journal publications
- A Newton method for harmonic mappings in the plane
with Olivier Sète, IMA Journal of Numerical Analysis, 40(4), 2777--2801, 2020
arXiv version - How constant shifts affect the zeros of certain rational harmonic functions
with Jörg Liesen, Computational Methods and Function Theory, 18(4), 583--607, 2018.
arXiv version - The maximum number of zeros of $r(z) - \overline{z}$ revisited
with Jörg Liesen, Computational Methods and Function Theory, 18(3), 463--472, 2018.
arXiv version
Selected talks and presentations
- 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.
Software
- Transport of images Toolbox
with Olivier Sète, A Matlab Toolbox to compute zeros of harmonic mappings, 2020.
Theses
- 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 - Polyanalytische Polynome und verallgemeinerte Lanczosalgorithmen.
Bachelor's Thesis, Department of Mathematics, Technical University Berlin, 2013.