Talks at Conferences and Workshops
- XIII. Forum of Partial Differential Equations 06/2024
Plenary Talk, Bedlewo
Talk: ``Bifurcation for a Class of Indefinite Elliptic Systems\\ by Comparison Theory for the Spectral Flow''
- AIMS Conference on Dynamical Systems, Differential Equations and Applications 05/2023
Session: Geometric methods in spectral theory of travelling waves, Wilmington
Talk: ``K-theoretic Methods in the Computation of the Maslov Index''
- Conference on Mathematics of Wave Phenomena 02/2022
Session: Geometric Methods in Spectral Theory of Travelling Waves, Karlsruhe
Talk: ``The G-equivariant Spectral Flow and Bifurcation''
- Annual Meeting of the German Mathematical Society (DMV) 09/2020
Session: Geometric Analysis and Applications, Chemnitz
Talk: ``On the Fredholm Lagrangian Grassmannian, Spectral Flow and ODEs in Hilbert Spaces''
- Joint Meeting of the Italian Mathematical Society (UMI) and the Polish Mathematical Society (PTM) 09/2018
Session 21: New Perspectives in Singular Hamiltonian Systems, Wroclaw
Talk: ``On the Fredholm Lagrangian Grassmannian, Spectral Flow and ODEs in Hilbert Spaces''
- Interfaces between Geometric Analysis and Mathematical Physics II 05/2018
Institut Mittag-Leffler, Djursholm
Talk: ''On the Fredholm Lagrangian Grassmannian, Spectral Flow and ODEs in Hilbert Spaces''
- Index Theorems in Analysis, Geometry and Mathematical Physics 05/2017
University of Kent, Canterbury
Talk: ''Spectral Flow and Bifurcation''
- Interfaces between Geometric Analysis and Mathematical Physics 07/2016
Institut Mittag-Leffler, Djursholm
Talk: ``Spectral Flow and Bifurcation''
- Annual Meeting of the German Mathematical Society (DMV) 09/2015
Section 3: Differential Equations and Applications, Hamburg
Talk: ``On bifurcation for semilinear elliptic Dirichlet problems on shrinking domains''
- International Conference on Nonlinear Operators Differential Equations and Applications 07/2015
Section on Variational Methods, Cluj-Napoca
Talk: ``The Spectral Flow in Variational Bifurcation Theory''
- Conference: Complex Patterns in Nonlinear Phenomena 01/2015
with a day dedicated to the 70. birthday of J. Pejsachowicz, Torino
Talk: ``Spectral flow, crossing forms and homoclinics of Hamiltonian systems''
- Joint Meeting of the German Mathematical Society (DMV) and the Polish Mathematical Society (PTM) 09/2014
Session 38: Variational Methods in Nonlinear Analysis, Poznan
Talk: ``A family index theorem for Hamiltonian systems and bifurcation''
- Workshop: Elliptic and Parabolic Equations 09/2013
RTG 1463: Analysis, Geometry and String Theory, Hannover
Talk: ``On bifurcation for semilinear elliptic Dirichlet problems and the Morse-Smale index theorem''
- Conference: Topology and Nonlinear Problems 08/2013
Dedicated to the 80. birthday of K. Gemba, Banach Center, Warsaw
Talk: ``A family index theorem for Hamiltonian systems and bifurcation''
- Conference: Variational and Topological Methods in Nonlinear Phenomena 06/2013
Dedicated to the 70. birthday of A. M. Micheletti and G. Palmieri, Alghero
Talk: ``A family index theorem for Hamiltonian systems and bifurcation''
- Workshop: Indice di Maslov per operatori differenziali in dimensione finita ed infinita II 06/2013
Universit\`a degli Studi di Firenze, Florence
Talk: ``On the Morse index theorem in semi-Riemannian geometry''
- Workshop: Indice di Maslov per operatori differenziali in dimensione finita ed infinita I 02/2013
Universit\`a degli Studi di Torino, Turin
Talk: ``On bifurcation for semilinear elliptic Dirichlet problems and the Morse-Smale index theorem''
- Workshop: Analysis and Geometric Singularities 05/2012
MFO Oberwolfach
Talk: ``On the Index Bundle for Families of Unbounded Operators''
- Workshop: Topological and Variational Methods in Differential Equations 04/2012
Politecnico di Torino
Talk: ''A Family Index Theorem for periodic Hamiltonian Systems''
- Workshop: Index Theory, nonlinear Dirac Equations and Morse-Floer Homology03/2009
Politecnico di Torino
Talk: ``On the Spectral Flow for Gap Continuous Paths of Selfadjoint Fredholm Operators''
- Workshop: Young Topologists and New Topology 08/2006
Banach Mathematical Center Bedlewo
Talk: ``A Morse index theorem for perturbed geodesics on Semi-Riemannian manifolds''
Talks at Research Seminars
- Analysis Seminar 06/2023
Technical University of Freiberg, Freiberg
Talk: ``The Equivariant Spectral Flow and Bifurcation"
- The Dutch Differential Topology and Geometry Seminar 04/2023
Vrije Universiteit Amsterdam
Talk: ``Spaces of Unbounded Operators and the Spectral Flow"
- N-Cities Seminar 07/2022
TU Chemnitz
Talk: ``The Equivariant Spectral Flow and Bifurcation for functionals
with Symmetries"
- Nonlinear Differential Equations Seminar 12/2021
University of Toru\'n, Torun
Talk: ``The Equivariant Spectral Flow and Bifurcation for Hamiltonian
Systems with Symmetries"
- Analysis Seminar 05/2021
University of Gießen, Gießen
Talk: ``The Equivariant Spectral Flow and Bifurcation for Hamiltonian
Systems with Symmetries"
- Analysis Seminar 11/2019
University of Leipzig, Leipzig
Talk: ``On the Fredholm Lagrangian Grassmannian, Spectral Flow
and ODEs in Hilbert Spaces''
- Analysis Seminar 07/2019
Technical University of Dresden, Dresden
Talk: ``On the Fredholm Lagrangian Grassmannian, Spectral Flow
and ODEs in Hilbert Spaces''
- Analysis Seminar 06/2019
University of Bochum, Bochum
Talk: ``On the Fredholm Lagrangian Grassmannian, Spectral Flow
and ODEs in Hilbert Spaces''
- Nonlinear Analysis Seminar 11/2017
Politechnika Gda\'nska, Gdansk
Talk: ``On the Fredholm Lagrangian Grassmannian and the Spectral Flow''
- Nonlinear Analysis Seminar 10/2017
University of Toru\'n, Torun
Talk: ``On the Fredholm Lagrangian Grassmannian and the Spectral Flow''
- Analysis Seminar 11/2016
University of Kent, Canterbury
Talk: ``Shrinking Domains and Bifurcation''
- Analysis Seminar 02/2016
University of Kent, Canterbury
Talk: ``Spectral Flow - Definition, Properties and Applications''
- Nonlinear Analysis Seminar 11/2015
Politechnika Gda\'nska, Gdansk
Talk: ``On the Spectral Flow in Variational Bifurcation Theory''
- Analysis Seminar 11/2015
University of Kent, Canterbury
Talk: ``On the Spectral Flow in Variational Bifurcation Theory''
- Oberseminar Globale Analysis 07/2015
Hausdorff Center for Mathematics, Bonn
Talk: ``Spectral flow, crossing forms and homoclinics of Hamiltonian systems''
- Oberseminar Analysis 01/2015
Universit\"at Potsdam, Potsdam
Talk: ``An introduction to the spectral flow''
- Oberseminar Dynamische Systeme 10/2014
Ruhr Universit\"at Bochum, Bochum
Talk: ``Spectral flow, crossing forms and homoclinics of Hamiltonian systems''
- Forschungsseminar Geometrische Analysis 02/2014
Humboldt-Universit\"at zu Berlin, Berlin
Talk: ``Crossing forms, bifurcation and the Morse index''
- Nonlinear Analysis Seminar 11/2013
Politechnika Gda\'nska, Gdansk
Talk: ``On the existence of non-trivial harmonic spinors''
- Forschungsseminar Geometrische Analysis 11/2013
Humboldt-Universit\"at zu Berlin, Berlin
Talk: ``A family index theorem for Hamiltonian systems''
- Oberseminar Analysis and Theoretische Physik 05/2013
Leibniz Universit\"at Hannover, Hanover
Talk: ``A family index theorem for Hamiltonian systems and bifurcation''
- Nonlinear Analysis Seminar 11/2012
Universit\`a degli Studi di Milano-Bicocca, Milan
Talk: ``Bifurcation results for critical points of families of functionals''
- Nonlinear Analysis Seminar 11/2012
Universit\`a degli Studi di Torino, Turin
Talk: ``Bifurcation results for critical points of families of functionals''
- Geometry Seminar 06/2012
Universit\`a del Salento, Lecce
Talk: ``A family index theorem for second order ODE and
geodesics in semi-Riemannian manifolds''
- Oberseminar Differentialgeometrie 11/2010
Universit\"at Augsburg, Augsburg
Talk: ``On the Morse Index Theorem in semi-Riemannian Geometry''
- Oberseminar Geometrie und Topologie 01/2009
Georg-August Universit\"at G\"ottingen, G\"ottingen
Talk: ``On the Spectral Flow for Gap Continuous Paths of
Selfadjoint Fredholm Operators''
Other Talks
- Lange Nacht der Wissenschaften 11/2021
TU Clausthal
Talk: ``1,2,3...'ne Menge! Wie viel ist Unendlich?''
- Mathematisches Kolloquium 05/2021
Universit\"at G\"ottingen
Talk: ``The Spectral Flow and Bifurcation''
- Seminar for Young Mathematicians 05/2021
Politechnika Gda\'nska, Gdansk
Talk: ``The Spectral Flow and Bifurcation''
- Lange Nacht der Wissenschaften 07/2019
Universit\"at Halle
Talk: ``1,2,3...'ne Menge! Wie viel ist Unendlich?
- Mathematisches Kolloquium 10/2018
Universit\"at Erlangen
Talk: ``The Spectral Flow and Bifurcation''
- Mathematisches Kolloquium 12/2016
Universit\"at Potsdam
Talk: ``The Buckling of the Euler Rod''
- Littoral-Kent Seminar 05/2016
Joint biannual Colloquium with Universit\'e du Littoral
University of Kent, Canterbury
Talk: ``$K$-theoretic Methods in the Bifurcation Theory of Discrete Dynamical Systems''
- Meeting of the SFB 647 ``Space--Time--Matter'' 07/2015
Hotel Bollmannsruh, P\"awesin
Talk: ``The Index Bundle and Higher Spectral Flow''
- Bridges between Mathematics and its Applications 11/2014
Technical University of Berlin, Berlin
Talk: ''The spectral flow in variational bifurcation theory''
- Colloqui Matematici 10/2014
Universit\`a degli studi di Bari, Bari
Talk: ''The spectral flow in variational bifurcation theory''
- Mathematisches Kolloquium 12/2013
Heinrich Heine Universit\"at D\"usseldorf, D\"usseldorf
Talk: ``On the Index Bundle for Families of Unbounded Operators''
- Meeting of the SFB 647 12/2013
\textbf{``Space--Time--Matter''}
Akademie Berlin--Schm\"ockwitz, Schm\"ockwitz
Talk: ``The index bundle, spectral flow and geometric operators''
- Webinar: Maslov index, spectral flow and stability 01/2013
Organised by C. Jones, University of North Carolina at Chapel Hill
Talk: ``A family index theorem for Hamiltonian systems''
- Webinar: Maslov index, spectral flow and stability 12/2012
Organised by C. Jones, University of North Carolina at Chapel Hill
Talk: ``On the Morse index theorem in semi-Riemannian geometry''
- Meeting of the Research Training Group 06/2011
``Mathematical Structures in Modern Quantum Physics''
Haus Hessenkopf, Goslar
Talk: ``On the Index Bundle for Families of Unbounded Operators''
- Students' Conference (annual meeting of DMV) 09/2008
University of Erlangen-N\"urnberg
Talk: ``Der Spektralindex perturbierter semi-Riemannscher Geod\"aten
als Windungszahl''