Nils Waterstraat


Im Grunde sind es immer die Verbindungen mit Menschen, die dem Leben seinen Wert geben.
(Wilhelm von Humboldt, 1767-1835)

Short Vita

  • 01/2019-now: Professor of Functional Analysis at MLU Halle-Wittenberg
  • 09/2015-12/2018: Lecturer in Mathematics at University of Kent (UK)
  • 10/2013-08/2015: Dirichlet Postdoc at Berlin Mathematical School (and HU Berlin)
  • 12/2011-09/2013: DAAD Postdoc Fellow at Politecnico di Torino (Italy)
  • 02/2008-10/2011: PhD studies at University of Göttingen


    • Research Interests:

    Topological Methods in Functional Analysis and their Applications to Differential Equations, including (but not restricted to):

  • Fredholm operators and index theory
  • the spectral flow for paths of selfadjoint Fredholm operators
  • bifurcation of critical points of functionals via spectral flows
  • topological methods in bifurcation theory, in particular via topological K-theory
  • existence and bifurcation for periodic and homoclinic solutions of Hamiltonian systems


    • List of Publications    List of Talks




    Editorial Work and Committees:


  • I am member of the editorial board of Topological Methods in Nonlinear Analysis (TMNA).
  • I am member of selection committees of the German Academic Exchance Service (DAAD) for research programmes in sub-Saharan Africa. In particular, I have been part of the team for Leadership for Africa from the very beginning in 2021.
  • I have been member of panels of the National Science Centre (NCN) in Poland and sometimes I have chaired these panels.


    • Teaching (in German):

    Aktuelles Semester (Kreidezeit: 07.10.24-30.01.25)

  • Maßtheorie (Vorlesung: Mi 10.15 -11.45, Übung: Fr 08.15-09.45, zweiwöchentlich)
  • Funktionentheorie (Vorlesung: Mi 14.15-15.45, Übung: Fr 10.15-11.45, zweiwöchentlich)


    • Liste früherer Lehrveranstaltungen    Betreute Abschlussarbeiten




    Supervision:

    • Melanie Möckel has studied in her PhD project bifurcation of a class of indefinite elliptic systems of PDE by comparison methods for the spectral flow.
    • Stefan Kupfer considers Fredholm properties and index theory for Hamiltonian systems on a half-line.