Deutsch Intern
Geometry

Theses

List of assigned bachelor thesis topics (Würzburg, for data protection reasons no names of students are given here.)
Titel Datum Betreuer:in
Differential geometry of projective spaces 2025 Madeleine Jotz
Singular Homology and Applications in Geometry, Topology, and Analysis 2024 Francesco Cattafi
Topologische Mannigfaltigkeiten und das Fundamentalgruppoid 2023 Madeleine Jotz
Die universelle Überlagerung einer topologischen Gruppe 2023 Madeleine Jotz
Supervised bachelor theses in Sheffield and Göttingen.
Titel Datum Betreuerin
The Gauss-Bonnet theorem 2019 Madeleine Jotz
On the paper ``R^{2n} is a universal symplectic manifold for reduction'' by Mark J.~Gotay and Gijs M.~Tuynman 2019 Madeleine Jotz
Algebraic vs analytic integration of Lie algebras 2019 Madeleine Jotz
Principal bundles and infinitesimal ideal systems 2019 Madeleine Jotz
Characteristic classes and Lie algebroid representations 2019 Madeleine Jotz
Dorfman connections and principal bundles 2018 Madeleine Jotz
Reduktion von Poisson-Mannigfaltigkeiten vs Marsden-Weinstein Reduktion 2018 Madeleine Jotz
N-manifolds and infinitesimal ideal systems 2018 Madeleine Jotz
Poisson manifolds and infinitesimal ideal systems 2017 Madeleine Jotz
Matrix Lie groups and Poisson geometry 2017 Madeleine Jotz
Hyperbolic geometry and hyperbolic crochet (Summer project, Sheffield) 2016 Madeleine Jotz
Projective geometry (MsC project, Sheffield) 2016 Madeleine Jotz

List of assigned Master's thesis topics (Würzburg)
Titel Datum Betreuerin
The Artin-Mazur bar construction on special examples of double Lie groupoids 2025 Madeleine Jotz
Foliated principal bundles and obstructions 2025 Madeleine Jotz
n-fold vector bundles as associated bundles 2024 Madeleine Jotz
Diversity Dimensionen an mathematischen Instituten in Deutschland 2023 Madeleine Jotz (third co-supervisor)
Supervised master theses in Göttingen.
Titel Datum Betreuerin
The double holonomy groupoid of a multiplicative foliation 2021 Madeleine Jotz
Generalised complex structures on principal bundles 2021 Madeleine Jotz
Z-graded frame bundles and connections up to homotopy 2020 Madeleine Jotz
Various Aspects of Noether's theorem 2020 Madeleine Jotz
Lie algebroids over the circle 2019 Madeleine Jotz

List of supervised PhD students
Name Titel Datum Betreuerin
Stefano Ronchi Duals of higher vector bundles and cotangents of Lie 2-groupoids 2025 Prof. Dr. Chenchang Zhu & Prof. Dr. Madeleine Jotz
Ilias Ermeidis Deformations of ideals in Lie algebroids 2025 Prof. Dr. Madeleine Jotz
David Kern Reduction of Lie and Courant Algebroids and Applications to Double Vector Bundles 2023 Prof. Dr. Madeleine Jotz
Theocharis Papantonis Z-graded supergeometry: Differential graded modules, higher algebroid representations, and linear structures 2021 Prof. Dr. Madeleine Jotz
Malte Heuer Multiple vector bundles and linear generalised complex structures 2019 Prof. Dr. Madeleine Jotz