Markus Hausmann

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Information for students interested in working with me

PhD:
Here in Bonn, all PhD admissions in Mathematics are organized through the BIGS (Bonn International Graduate School). Please check the link for instructions on how to apply and the deadline for the next call. If you are interested in working with me, please make sure to list my name as a potential supervisor.

Master theses:
If you are considering to write a master thesis under my supervision, please contact me at least one month before you want to start writing the thesis.

Bachelor theses:
The topology group at Bonn University organizes a synchronized presentation of bachelor topics in topology, usually taking place in one of the Topology I lectures in the winter, for bachelor theses registered by the end of January and written roughly in the period February - June. The accompanying bachelor thesis seminar takes place in the summer term. This is the preferred way to write a bachelor thesis in topology. If you want to write a thesis but cannot make this time frame, please write to me or one of my colleagues.

List of Bachelor topics

Below is a list of topics presented by the topology group on December 15. The linked sources are only meant to give you an impression of the literature on the topics, more precise sources will be provided by your supervisor later on.
If you want to write a bachelor thesis in topology, write an email to me by January 9, noon, with a (ranked) list of all topics you would be willing to take.

1. Ran spaces and the trefoil knot (Markus Hausmann) Source
2. Group actions on spheres (Markus Hausmann) Source
3. A converse to Smith theory (Markus Hausmann) Source
4. The embedding space of a Hopf link (Markus Hausmann) Source
5. Operads and the Eckmann--Hilton argument (Tobias Lenz) Source 1 Source 2
6. Symmetric monoidal categories and Gamma-categories (Tobias Lenz) Source 1 Source 2
7. The Kan-Quillen Thorem (Sven van Nigtevecht) Source 1 Source 2
8. Galois categories (Sven van Nigtevecht) Source 1 Source 2
9. Isotopy Extension Theorem (Branko Juran) Source
10. Constructibe sheaves and exit path categories (Branko Juran) Source 1 Source 2
11. Double categories and their equivalences (Paula Verdugo) Source 1 Source 2
12. The Blakers-Massey Theorem in topology (Kaif Hilman) Source
13. Atiyah-Duality (Stefan Schwede) Source
14. Splitting of the homology of symmetric groups (Stefan Schwede) Source

List of current and past students

PhD students:

1. Fabio Neugebauer (2025-)
   
2. Qi Zhu (2023-)
   
3. Lucas Piessevaux (2022-)
   

Master students:

1. Pirmin Kupffer
   
2. Joachim Roscher
   
3. Johannes Dominique
   
4. Jan Sneeuw 'On the Madsen-Weiss theorem' (2025)
   
5. Yifan Song 'Bordism with Commuting Involutions and Conner-Floyd’s Problem' (2025, -> now doing PhD at Bonn University with Stefan Schwede)
   
6. Elena Ertle 'Global Vector Bundles and Global K-theory' (2025)
   
7. Fabio Neugebauer 'Formal Group Laws and Stable Homotopy Theory over Profinite Abelian Groups' (2025, -> now doing PhD at Bonn University with Markus Hausmann)
   
8. Kexing Chen 'Surfaces with Involutions' (2024)
   
9. Praneet Srivastava 'On Integral Models for Spaces' (2024)
   
10. Julius Groenjes 'Universality of Real and Complex Bordism' (2024, -> now doing PhD at Nijmegen University with Steffen Sagave)
    
11. Adrian Rodriguez 'An algebraic model for rational equivariant SO(2)-spectra' (2024)
    
12. Jaime Guerrero 'Topological complexity of configuration spaces of graphs' (2024)
    
13. Eki Gonzales Garcia 'On the equivariant Steenrod problem' (2021)
    
14. Miguel Barrero 'Global operads', (2020, -> PhD at Nijmegen University with Magdalena Kędziorek 2024)
    
15. Anders Pedersen 'Topological cyclic homology' (2019, -> PhD at the Technical University of Denmark)
    

Bachelor students:

1. Paul Jin Robaschik, 'Bordism homology and cohomology' (2025)
   
2. Hannah Geron, 'One-relator groups' (2024)
   
3. Jacqueline Sifft, 'Whitehead Products' (2024)
   
4. Joachim Roscher, 'The Bott-Samelson theorem' (2024)
   
5. Silas Jan Viet, 'Loop spaces vs. topological groups' (2024)
   
6. Kai Tschammer, `What does the classifying space of a category classify?' (2023)
   
7. Alexander Kuhn, `On the uniformization theorem'(2023)
   
8. David Padberg `Smith theory via Bredon homology' (2021)
   
9. Marc Raffelsiefen `Homotopical properties of subgroup complexes' (2021)
   
10. Sophia Piacenza `The Burnside ring of a compact Lie group' (2021)
    
11. Jonathan Sejr Pedersen `Configuration spaces and Massey Products' (2019)
    
12. Lærke Thomsen `Free group actions on spheres' (2018)
    
13. Rikke Søndergaard `The degree of a smooth function' (2018)