Nils Waterstraat

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: 13.10.25-06.02.26)

Maßtheorie (Vorlesung: Do 10.15-11.45, Übung: Fr 10.15-11.45 zweiwöchentlich)

Analysis (Vorlesung: Mo 12.15-13.45 und Mi 10.15-11.45)

Liste früherer Lehrveranstaltungen    Betreute Abschlussarbeiten

Supervision:

Current:

• Stefan Kupfer considers Fredholm properties and index theory for Hamiltonian systems on a half-line.

Former PhD Students:

• Dr. Melanie Möckel studied in her PhD project (equivariant) bifurcation of a class of indefinite elliptic systems of PDE by comparison methods for the spectral flow
(Link).