Abschlussarbeiten
Doktorarbeiten
M. Schmahl – Topics in persistent homology: from Morse theory for minimal surfaces to efficient computation of image persistence (2022)I. Seifert – Symplectic methods for the study of periodic delay orbits (2022)
A. Maret – The symplectic geometry of surface group representations in genus zero (2022)
A.-M. Vocke – Periodic bounce orbits in magnetic billiard systems (2021)
M. Meiwes – Rabinowitz Floer homology, leafwise intersections and topological entropy (2018)
P. Weigel – Orderability and rigidity in contact geometry (2015)
U. Fuchs – Pseudoholomorphic curves in symplectic and contact geometry and their application in dynamics (2014)
Masterarbeiten
C. Kühner – Outer symplectic billiards on Lagrangian submanifolds (2024)S. Langenberg – Hamiltonian diffeomorphisms of even-dimensional balls and Reeb flows on odd-dimensional spheres (2024)
I. Yushina – Global surfaces of section for the Hopf flow (2023)
D. Schultz – Stability of non-degenerate periodic solutions of vector fields (2023)
T. Witt – A polyfold perspective on APS operator families and topology-changing domains (2022)
L. Maier – Geometry and dynamics of magnetic geodesics on the l2-sphere (2021)
G. Banhatti – Phase space of billiards with and without magnetic field as symplectic quotient (2020)
J. Schuhmacher – Toward the algebraic and geometric aspects of quiver representation theory (2020)
L. Sauer – Character varieties and Lagrangian submanifolds (2020)
S. Wintz – Existenz von Kaustiken für magnetische Billardsysteme (2020)
I. Schulte – Poisson commuting functions and superheaviness in symplectic geometry (2017)
S. Boshe-Plois – On homoclinic orbits in the restricted Three-Body Problem (2017)
A. von Kempis – Assoziativität des Cup-Products in Morse-Kohomologie (2017)
I. Seifert – Fixed points of Hamiltonian diffeomorphisms on closed symplectically aspherical manifolds (2017)
A.M. Vocke – Billards im Magnetfeld (2017)
C. Membrez – Lagrangian Floer Homology and the Polterovich Torus (2009)
Bachelorarbeiten
K. Sehi – About monotone twist maps in dynamical billiards (2024)P. Nazari – Numerical Inverse Magnetic Billiards (2023)
J. Westermann – Periodic bounce orbits obtained by various approximation schemes (2023)
D. Seyboldt – Starrheit der Extremwerte der Lp-Norm der zentroaffinen Krümmung in zentroaffiner Parametrisierung (2022)
G. Götzmann – Durch Geradenfaserungen induzierte Kontakstrukturen (2021)
A. Ziegler – Global surfaces of section and the Hopf fibration (2021)
P. Martin – Das Jacobowitz-Hartmann Theorem – Ein Beweis mithilfe des Poincaré-Birkhoff Fixpunktsatzes (2021)
T. Stalljohann – On Lerman’s Cut Construction (2021)
F. Lander – Polygonal symplectic billiards (2021)
C. Edmaier – Sharkovsky’s Theorem: A direct proof and further observations (2019)
L. Maier – Reidemeistertorsion in der Morse-Novikov-Theorie (2019)
D. Schultz – Conley-Index-Theorie und ihre Beziehung zur Morse-Theorie (2018)
S. Boshe-Plois – Visual Analysis of Billiard Dynamics Simulation Ensembles (2018)
G. Banhatti – Billards im n-dimensionalen Ellipsoiden (2016)
I. Schulte – Quasimorphismen und beschränkte Kohomologie (2015)
S. Müller – Vom Billard zum Dual-Billard und eine Charakterisierung der N-Orbits eines Dual Billard Spiels (2015)
S. Boshe-Plois – Integrable Hamiltonsche Systeme und das Arnold-Jost Theorem (2015)
A.M. Vocke – Das Poincaré -Birkhoff Theorem und eine Anwendung auf Billards (2014)
A. von Kempis – Störungstheorie periodischer Orbits und Anwendungen auf das Dreikörperproblem (2014)
S. Wintz – Höhere Pentagramm Abbildungen und die KdV Gleichung (2014)
S. Heydenreich – Geometrische Aspekte des Kepler Problems (2014)
K. Wiegand – Die Pentagramm Abbildung (2014)
I. Schulte – Die Rotationszahl und Denjoys Theorem (2014)
