Dr. Jan Zur

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.

Lecturer

• Winter semester 2023/24: Mathematics I for Economics
• Winter semester 2023/24: Pre-course Mathematics (for mathematicians)
• Summer semester 2023: Pre-course Mathematics (for mathematicians)
• Winter semester 2022/23: Pre-course Mathematics (for mathematicians)

Teaching assistant

• Winter semester 2023/24: Numerical Linear Algebra
• Summer semester 2023: Analysis I and Linear Algebra for Engineering Sciences
• Winter semester 2022/23: Numerical Linear Algebra
• Winter semester 2022/23: Analysis I and Linear Algebra for Engineering Sciences
• Summer semester 2022: Analysis I and Linear Algebra for Engineering Sciences
• Summer semester 2021: Linear Algebra II
• Winter semester 2020/21: Linear Algebra I
• Summer semester 2020: Linear Algebra II
• Winter semester 2019/20: Linear Algebra I
• Winter semester 2018/19: Linear Algebra II
• Summer semester 2018: Linear Algebra I
• Summer semester 2017: Analysis II for Engineering Sciences
• Winter semester 2016/17: Linear Algebra for Engineering Sciences

Student assistant

•  Summer semester 2011 - Summer semester 2016: Computer-Oriented Mathematics I+II

Currently, I am study counselor of the study program Business Mathematics (Bachelor and Master). Further information about studying mathematics at the TU Berlin can be found on the pages of the Student Counseling Mathematics. The page of the Academic Advising Service of the TU Berlin also offers additional information about studying at the TU Berlin. If you have further questions concerning the content and organization of your studies, or if you need advice on choosing a course, you are very welcome to come to my office hours or to send me an email.

Please note that the Office of Student Affairs is responsible for general questions regarding deadlines, application or admission requirements.

At the Institute of Mathematics, I am responsible for the introductory phase of the bachelor's degree programs in Mathematics, Technomathematics, and Business Mathematics, as well as for the transition from high school - to university. This includes in particular the following:

• Giving before each semester a Pre-course in Mathematics (for mathematicians)
• Organizing the mentoring program for newly enrolled students
• Acting as study counselor for Business Mathematics (Bachelor and Master)
• Involvement into the organization of orientation offerings for newly enrolled students