Final theses
Final theses
Final theses
How to find a supervisor for your Bachelor's or Master's thesis or admission thesis for a teaching degree:
- Approach the desired supervisor early on. You should look for a supervisor for your bachelor's thesis by the end of the lecture period of your fifth semester at the latest. It is also highly recommended that you attend a seminar with your chosen supervisor in the fifth semester or earlier. The topic of a bachelor's thesis often arises from a seminar.
- If you are planning to write a bachelor's thesis in Applied Analysis, you should attend two of the lectures Functional Analysis, Partial Differential Equations I, Optimisation, Numerics II or comparable lectures in your fifth and sixth semesters.
- If you are planning to write a bachelor's thesis in the specialisation Arithmetic Geometry, you should attend two of the lectures Algebraic Geometry I+II, Algebraic Number Theory I+II or comparable lectures in your fifth and sixth semesters.
- If you plan to write a bachelor's thesis in the Global Analysis and Geometry specialisation, you should listen to two of the lectures Differential Geometry I+II, Topology I+II or comparable lectures in your fifth and sixth semesters.
- The results of the bachelor's thesis are usually presented in a bachelor's seminar in the sixth semester, which is organised by your supervisor.
- In order to write an admission thesis in mathematics in the teacher training programme, you should have successfully completed the lectures Algebra and Analysis III (Measure and Function Theory) and attend a seminar with your future supervisor. Please discuss further details with a supervisor of your choice. For admission theses in the didactics of mathematics see here.
- We would like to emphasise the opportunity to get to know potential supervisors for Bachelor's and Master's theses early on in your studies by attending the relevant seminars.
Applied Analysis - courses
Lectures and seminars
Lectures and seminars
Lectures
Unless otherwise stated, only lectures from the first four semesters of the Bachelor's programme are required.
The courses Functional Analysis, Partial Differential Equations I, II and III are offered regularly every year. Of these, the lecture Partial Differential Equations III can be taken several times, as the content varies from year to year. The other courses take place irregularly.
Summer term 2026
- Numerics II, V4 + Ü2 with Luise Blank
- Stochastic analysis, V4 + Ü2 with Richard Höfer
- Partial differential equation I, V4 + Ü2 with Felix Finster
- Mathematical Modelling, V4 + Ü2 with Harald Garcke
- PDG III Homogenisation, V4 + Ü2 with Michael Eden
Winter term 2026/27
- Optimal transport, V4 + Ü2 with Richard Höfer
- Functional analysis, V4 + Ü2 with Harald Garcke
- Partial differential equation II, V4 + Ü2 with Felix Finster
Seminars
Seminars on the above topics are offered regularly
Summer term 2026
- Nonlinear partial differential equations, Harald Garcke
- Mathematicians, Felix Finster
- From machine learning to the calculus of variations, Georg Dolzmann
Arithmetic Geometry - courses
Lectures and seminars
Lectures and seminars
Lectures from the WS 2025/26
- WS 25/26: Non-Archimedean Analytic Geometry, 4+2 SWS, Klaus Künnemann
- WS 25/26: Algebraic Number Theory, 4+2 SWS, Niko Naumann
- WS 25/26: Algebraic Geometry I, 4+2 SWS, Marc Hoyois
- SS 26: Algebraic Geometry II, 4+2 SWS, Marc Hoyois
- SS 26: Synthetic category theory, 4+2 SWS, Denis-Charles Cisinski
- SS 26: Local Class Field Theory, 4+2 SWS, Shai Keidar
- SS 26: Toric Varieties, 2+2 SWS, Gari Peralta
Seminars from WS 2025/26
- WS 25/26: Seminar on Hodge structures, Moritz Kerz
- SS 26: Riemann-Roch theory for number fields English, Moritz Kerz, Carolyn Echter
- SS 26: Galois Categories and Étale Fundamental Groups, Moritz Kerz, Andrea Panontin, Yuenian Zhou
- SS 26: Cohomology of sheaves and schemes, Marc Hoyois
Global Analysis and Geometry - courses
Lectures and seminars
Lectures and seminars
The following courses are a starting point for writing a thesis in the research area Global Analysis and Geometry. Unless otherwise stated, the courses only require knowledge at the level of "Analysis on manifolds". In particular, the courses without additional requirements are suitable for third-year Bachelor students and first-year Master students:
Lectures:
- SoSe 26: Twisted invariants and Reidemeister torsion (4h), Prof. Friedl
- SoSe 26: Riemannian manifolds with special holonomy (2h+1h), Samuel Lockman
- WiSe 26/27: Algebraic topology I (4h), Prof. Löh
- WiSe 26/27: Low-dimensional topology (4h), Prof. Friedl
- Summer term 27: Low-dimensional topology (4h), Prof. Friedl
Seminars:
- SoSe 26: LKS-Seminar (2h), Prof. Löh and Prof. Friedl
- SoSe 26: Group rings and dimensions (2h), Prof. Löh
- Seminar on Spin geometry (2), Prof. Ammann
- WiSe 26/27: Knot theory (2), Prof. Friedl