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Theses

 

Here is a list of all bachelor,  master (former diploma) and PhD theses written under the (co-)supervision of a member of the Research Station since 2019.

If you are interested in writing your thesis at the Resreach Station, please contact the favored supervisor directly.

PHD Thesis

On the Hofer–Zehnder Capacity of Twisted Tangent Bundles

Johanna Bimmermann

Topics in Persistent Homology: From Morse Theory for Minimal Surfaces to Efficient Computation of Image Persistence

Maximilian Schmahl

Polyfold methods for the study of periodic delay orbits.

Irene Seifert

The symplectic geometry of surface group representations in genus zero

Arnaud Maret

Periodic Bounce Orbits in Magnetic Billiard Systems.

Anna-Maria Vocke

The Horofunction Compactification of Finite-Dimensional Normed Spaces and of Symmetric Spaces.

Anna-Sofie Schilling

Cataclysm deformations for Anosov representations.

Mareike Pfeil

Symplectic groups over noncommutative rings and maximal representations.

Eugen Rogozinnikov

Singular fibers of Hitchin systems.

Johannes Horn

Domains of discontinuity of Anosov representations in flag manifolds and oriented flag manifolds

Florian Stecker

Generalized Schottky groups, oriented flag manifolds and proper actions

Nicolaus Treib

Rabinowitz Floer homology, leafwise intersections and topological entropy.

Matthias Meiwes

Master and Diploma Thesis

Phase space of billiards with and without magnetic field as symplectic quotient.

Gautam Dilip Banhatti

A Basmajian-type inequality for the indefinite orthogonal group.

Federica Bertolotti

A Contribution towards Graph Embedding in Symmetric Spaces.

Clemens Fruböse

Poisson geometry in evolutionary game theory.

Davide Legacci

Extending results of TDA to Bregman point clouds.

Máté László Telek

Character varieties and Lagrangian submanifolds.

Lukas Sauer

A twist condition for magnetic flows on the two-sphere.

Raphael Schlarb

Hofer-Zehnder capacity for magnetic systems on the two-sphere.

Johanna Bimmermann

Compact Lorentz 3-folds with non-compact isometry groups.

Oskar Riedler

Universal structures far from equilibrium in alpha complexes and persistent homology.

Daniel Spitz

Deformations of flags and convex sets in \(\mathbb{RP}^2\)

Sven Grützmacher

A boundary map to the Roller boundary of a CAT(0) cube complex

Tim Adler

Earthquakes in the hyperbolic plane

Mareike Pfeil

Andreev’s Theorem on 3-dimensional Hyperbolic Polyhedra

Andrea Rincón

Fixed points of Hamiltonian diffeomorphisms on closed symplectically aspherical manifolds

Irene Elisabeth Seifert

Billards im Magnetfeld

Anna-Maria Vocke

Spektrale Netze und Fock-Goncharov Koordinaten

Evgenii Rogozinnikov

A family of representations for the modular group

Fabian Kißler

On Volume Rigidity of Lattices

Yannick M. Krifka

Spectral Networks - A story of Wall-Crossing in Geometry and Physics

Sebastian Schulz

Horofunction Compactification of Finite-Dimensional Normed Spaces and of Symmetric Spaces

Anna-Sofie Schilling

Bachelor Thesis

The Saddle Connection Graph of the Golden L

Isabel Giray

Periodic Bounce Orbits Obtained by Various Approximation Schemes

Jannik Westermann

Universal Constants in 3-Dimensional Hyperbolic Manifolds.

Benedikt Pfahls

Algorithmic implementation of the solution to the word problem in Right-Angled Artin groups.

Jannis Heising

Blaschke Conjecture and Hopf Rigidity.

Christian Alber

Singularity Theorems with an emphasis on the interplay of low regularity and energy conditions.

Jonas von Berg

Reflection length in affine Coxeter groups.

Noam von Rotberg

Sharkovsky’s Theorem. A direct proof and further observations.

Caroline Edmaier

Die Penrose-Parkettierung mit Drachen und Pfeil.

Katharina Krapf

Scaling limits of random trees.

Tobias Schröder

Coxeter groups, the Davis complex, and isolated flats.

Ferdinand Vanmaele

Kreishomöomorphismen - Aspekte eines dynamischen Systems.

Johannes Wenzel

Reidemeistertorsion in der Morse-Novikov-Theorie.

Levin Maier

Über die Hyperbolizität des Kurvengraphen

Lukas Bohsung

Die Definition der euklidischen Geometrie über die Abstandsfunktion

Kira-Maria Rolli

The pentagrid as a device for the study of Penrose tilings

Markus Schreiber

Jørgensen Lemma

Fabian Cejka

Das Poincaré-Birkhoff Fixpunkttheorem und Anwendungen auf Billards

Anna-Maria Vocke