Nicolas Kainz, M. Sc.

Short CV

  • Oct. 2017 - Sep. 2021: Bachelor of Science, Mathematics, Ulm University
  • Oct. 2021 - Mar. 2023: Master of Science, Mathematics, Ulm University
  • Since Apr. 2023: PhD student, Institute of Numerical Mathematics, Ulm University


  • Elements of Topology (Summer term 2022)
  • Numerical Methods for Ordinary Differential Equations (Summer term 2023)
  • Modeling on Manifolds  (Winter term 2023/2024)
  • Numerical Methods for Ordinary Differential Equations (Summer term 2024)
  • SAPS - Vorbereitungskurs für die mathematische Zulassungsprüfung der DAV (Summer term 2024)


Research Fields

  • Holomorphic and meromorphic Dynamical Systems
  • Characterization of Separatrizes in the phase space of Holomorphic Dynamical Systems, especially for complex polynomial flows
  • Number of Separatrices of complex polynomial flows
  • Behaviour of orbits near Infinity for complex polynomial flows
  • Newton flows


Planar Analytic Dynamical Systems and their phase space structure, master thesis, 03/2023, available here: master thesis

Local geometry of equilibria and a Poincare-Bendixson-type theorem for holomorphic flows, article for the Topology Proceedings journal, 02/2024, preprint:

Nicolas Kainz, M. Sc.

Institute of Numerical Mathematics, Helmholtzstr. 20, Room 1.06, 89081 Ulm

Tel: (+49) 731 50 23937

E-mail: nicolas.kainz(at)

Office Hours: Please make an appointment via e-mail.