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Inhalt des Dokuments

Recent publications and preprints

  • 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]

Journal publications

  • 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]

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 [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.

Software

  • Transport of images Toolbox [13]
    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 [14]
  • Polyanalytische Polynome und verallgemeinerte Lanczosalgorithmen.
    Bachelor's Thesis, Department of Mathematics, Technical University Berlin, 2013.
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