Abschlussarbeiten / Theses supervised

Doktorarbeiten / Ph.D.

• Michael Rothgang (2024): Equivariant transversality for closed holomorphic curves
• Agustin Moreno (2018): Algebraic torsion in higher-dimensional contact manifolds
• Alexandru Cioba (2018, UCL): Nicely embedded curves in symplectic cobordisms
• Marcelo Alves (2014, UL Brussels; co-supervised with Frédéric Bourgeois): Growth rate of Legendrian contact homology and dynamics of Reeb flows

Aktuell / Current Ph.D. students

• Gerard Bargalló
• Naageswaran Manikandan
• Felix Nötzel
• Paramjit Singh

If you are interested in doing a PhD under my supervision, you should apply to the Berlin Mathematical School (Phase II). This generally works best if I know enough about you to enthusiastically support your application, so for that reason it's a good idea to contact me ahead of time. (In some cases there may also be funding available that you would need to apply for separately from the BMS --- if so, I will tell you.)

Please note: While I make an effort to respond politely to all serious inquiries from prospective Ph.D. students, I do regularly also receive inquiries that make an "unserious" impression, which I usually leave unanswered. Your inquiry will typically be categorized as unserious if it fails to communicate to me that you have some nontrivial background knowledge in my research area (symplectic topology).

Masterarbeiten / M.Sci.

• Leonard Leass (2024): Symplectic capacities from rational symplectic field theory
• Gerard Bargalló (2024): Stratification of the moduli space of multiply covered holomorphic curves
• Laurenz Upmeier zu Belzen (2023): Symplectic fillability of planar open books
• Naageswaran Manikandan (2021): Intersection theory of punctured pseudoholomorphic curves
• Milica Đukić (2021): Gluing theorems in symplectic field theory
• Yoanna Kirilova (2021): The Morse-Smale condition with symmetry
• Michael Rothgang (2019): Flexibility and symplectic fillability
• Udhav Fowdar (2016, UCL): A functional analytic approach to Morse homology
• Naomi Kraushar (2016, UCL): Complex cobordism and almost complex fillings of contact manifolds
• Joe Driscoll (2015, UCL): Morse homology

Prospective Master's students from outside of Humboldt University can also apply to the Master's Programme ("Phase I") of the Berlin Mathematical School.

Bachelorarbeiten

• David Keller (2024): Completely integrable Hamiltonian systems
• Florian Kaufmann (2024, IMP): The classifying space
• Joachim Albrecht (2023): Hyperbolic metrics on surfaces with finitely many punctures
• Lukas Salchow (2023, TU Berlin): Tight contact structures on the 3-torus
• Johannes Hübers (2022): Morse functions and birth-death bifurcations
• Robin Lukas Simon (2022): Generische Vektorfelder sind nicht entartet
• Jan Philipp Bohl (2021): Existence of contact structures on 3-manifolds
• Adrian Dawid (2021): A correspondence between the Morse index and the Conley-Zehnder index for geodesics
• Sebastian Hebold-Hardt (2021): The equivalence of de Rham, Singular and Morse cohomology: Two de Rham theorems
• Marie Christin Schmidtlein (2020): Symplectic fillings and Lefschetz fibrations in dimension four
• Catalina Jurja (2019): Existence of the Poincaré metric
• Laurenz Upmeier zu Belzen (2019): Milnor construction of universal bundles
• Korbinian Friedl (2019): Pseudocycles and smooth intersection theory
• Johannes Hauber (2019): Smooth oriented S²-bundles over closed oriented surfaces
• Yoanna Kirilova (2019): Symplectic geometry of Weinstein domains
• Jakob Helf (2019): Topologie symplektischer 4-Mannigfaltigkeiten
• Philipp Reinke (2018): Lokale Existenz von J-holomorphen Kurven
• Simone Zahn (2017): Integrability in complex geometry

Betreuungsvoraussetzungen:

• Studierende im Monobachelor oder IMP: Wer bei mir eine Bachelorarbeit schreiben möchte sollte in der Regel mindestens 3 von den folgenden 4 Vorlesungen gehört haben oder aktuell hören: Differentialgeometrie 1, Topologie 1, Topologie 2, Funktionalanalysis.
• Studierende im Kombibachelor: Themenanfragen sind willkommen von Studierenden, die alle Pflichtvorlesungen schon bestanden und die Note 2,0 oder besser in der Vorlesung Geometrie erreicht haben.