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

Teaching

Research

Research Fields

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

Publications

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

Local geometry of Equilibria and a Poincaré-Bendixson-type Theorem for Holomorphic Flows, article for the Topology Proceedings journal, 02/2024, preprint: https://doi.org/10.48550/arXiv.2402.07612

Basins of Equilibria and geometry of Global Sectors in Holomorphic Flows, article for the Topology Proceedings journal, 10/2024, preprint: https://doi.org/10.48550/arXiv.2410.04895

University committees

I represent the interests of doctoral students at Ulm University in the following committees. If you have any concerns in this regard, please do not hesitate to contact me.

  • Board of Promovierendenkonvent - Vorstand des Promovierendenkonvents (October 2023 - September 2025)
  • Faculty Council Mathematics and Economics - Fakultätsrat Mathematik und Wirtschaftswissenschaften (October 2023 - September 2025)
  • Student Parliament - Studierendenparlament (October 2023 - September 2025)
  • LGFG Scholarship Award Committee - Vergabekommission für LGFG-Stipendien (November 2023 - September 2025)
  • Working group for quality assurance funds - Arbeitskreis für Qualitätssicherungsmittel (April 2024 - September 2025)
  • Senate - Senat (October 2024 - September 2025)

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)uni-ulm.de

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