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 recently completed my PhD at TU Berlin in the Numerical Linear Algebra group of Jörg Liesen. My research interests lie within numerical mathematics and complex analysis.

Publications and Talks

Recent publications and preprints

• The transport of images method: computing all zeros of harmonic mappings by continuation (arxiv)
  with Olivier Sète, IMA Journal of Numerical Analysis, 42(3), 2403--2428, 2022.

Journal publications

• 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.

Selected talks and presentations

• 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.

Software

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

Theses

• 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.

Teaching

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

• Summer term 2022: Calculus I and Linear Algebra for Engineers
• Summer term 2021: Linear Algebra II
• Winter term 2020/21: Linear Algebra I
• Summer term 2020: Linear Algebra II
• Winter term 2019/20: Linear Algebra I
• Winter term 2018/19: Linear Algebra II
• Summer term 2018: Linear Algebra I
• Summer term 2017: Calculus II for Engineers
• Winter term 2016/17: Linear Algebra for Engineers