I'm a research associate (Akad. Rat auf Zeit) at the Institute of Analysis at the Leibniz University Hannover.
Leibniz Universität Hannover
Institut für Analysis
|Room||f126 in the main building (1101)|
|Office hours||Mondays, 13:00 - 15:00 (except 28.10.)|
|k.fritzsch at math.uni-hannover.de|
I work in geometric singular analysis and in particular study partial differential equations on singular spaces. Specifically, I work on:
- analysis on manifolds with corners and pseudodifferential operator calculi on singular spaces
- the Calderón projector and the Dirichlet-to-Neumann map on manifolds with fibred cusps (with Daniel Grieser and Elmar Schrohe)
- the moduli space of magnetic monopoles and the Sen Conjecture (with Chris Kottke and Michael Singer)
- Spectral Geometry (Assistant)
- Analysis II (Problems Class)
- Boundary Value Problems (Assistant)
- Analysis I (Problems Class)
- Analysis II (Problems Class, Summer 2018)
- Analysis I (Problems Class, Winter 2017/18)
- Differential Geometry at University College London
- Training for teaching assistants for the Fakultät 5 at the Carl-von-Ossietzky University Oldenburg
- Problems Classes and Assistant for Analysis I-III, Complex Analysis, Differential Geometry, Global Analysis, Mathematical Methods in Physics at the Carl-von-Ossietzky University Oldenburg
Publications and Preprints
- K. Fritzsch, C. Kottke and M. Singer, Monopoles and the Sen Conjecture: Part I, preprint (arXiv:1811.00601)
- K. Fritzsch, Full Asymptotics and Laurent Series of Layer Potentials for Laplace's Equation on the Half-Space, Math. Nachr., (2019) 2019:1-33 (arXiv:1712.09833).
- K. Fritzsch, An Adiabatic Decomposition of the Hodge-Theory of Manifolds Fibred over Graphs, Houston J. of Math., 41 (2015), no. 1, 33-58 (arXiv:1712.09832).
- K. Fritzsch, A Geometric Approach to Mapping Properties of Layer Potential Operators: The Cases of the Half-Space and of Two Touching Domains, PhD thesis, Verlag Dr. Hut, München, 2015.
- K. Fritzsch, A Spectral Problem on Two Almost Touching Domains, in Geometric Aspects of Spectral Theory, Oberwolfach Reports 9 (2012), no. 3, 2013–2076.
- K. Fritzsch, Quantum Ergodicity for Quantum Maps on the Torus, in Arbeitsgemeinschaft: Quantum Ergodicity, Oberwolfach Reports 8 (2012), no. 4, 2781–2835.
- K. Fritzsch, An Adiabatic Decomposition of the Hodge Cohomology of Manifolds Fibred over Graphs, in Analysis and Geometric Singularities, Oberwolfach Reports 7 (2010), no. 2, 1625–1690.