Publications

Journal Articles

• Approaches to critical point theory via sequential and parametrized topological complexity
  (joint work with Maximilian Stegemeyer)
  Topological Methods in Nonlinear Analysis, Online First (2026).
  DOI · arXiv
• Sequential topological complexity of aspherical spaces and sectional categories of subgroup inclusions
  (joint work with Arturo Espinosa Baro, Michael Farber and John Oprea)
  Mathematische Annalen 391 (2024), 4555–4605.
  DOI · arXiv
• Geodesic complexity via fibered decompositions of cut loci
  (joint work with Maximilian Stegemeyer)
  Journal of Applied and Computational Topology 7, no. 3 (2023), 397–425.
  DOI · arXiv
• Geodesic complexity of homogeneous Riemannian manifolds
  (joint work with Maximilian Stegemeyer)
  Algebraic & Geometric Topology 23, no. 5 (2023), 2221–2270.
  DOI · arXiv
• Spherical complexities with applications to closed geodesics
  Algebraic & Geometric Topology 21, no. 2 (2021), 1021–1074.
  DOI · arXiv
• Existence results for closed geodesics via spherical complexities
  Calculus of Variations and Partial Differential Equations 59, no. 5 (2020), article no. 55.
  DOI · arXiv
• On the topological complexity of aspherical spaces
  (joint work with Michael Farber)
  Journal of Topology and Analysis 12, no. 2 (2020), 293–319.
  DOI · arXiv
• Topological complexity of symplectic manifolds
  (joint work with Mark Grant)
  Mathematische Zeitschrift 295 (2020), 667–679.
  DOI · arXiv
• Oriented robot motion planning in Riemannian manifolds
  Topology and its Applications 258 (2019), 1–20.
  DOI · arXiv

Books

• Überblickswissen Mathematik – Ein Crashkurs für Studierende anderer Fächer
  Springer Spektrum, Berlin/Heidelberg, 2025.
  DOI
• Perturbed Gradient Flow Trees and A-infinity Algebra Structures in Morse Cohomology
  Atlantis Studies in Dynamical Systems, Vol. 6, Atlantis Press (Paris) / Springer, Cham, 2018.
  DOI

Book Chapters

• Geometric and topological properties of manifolds in robot motion planning
  in: Michael Farber, Jesús González (eds.), Topology and AI, EMS Series in Industrial and Applied Mathematics, vol. 4, EMS Press, Berlin, 2024.
  DOI · arXiv

Preprints

• A-infinity algebras and their Hochschild homology
  arXiv:1601.03963, 2016.

Theses

• Hochschild homology of Morse cochain complexes and free loop spaces
  PhD thesis, Leipzig University, 909 pp., 2016. Supervisor: Prof. Dr. Matthias Schwarz.
• Der Spektralfluss selbstadjungierter elliptischer Operatoren
  Diploma thesis, Bielefeld University, 90 pp., 2008. Supervisor: Dr. Kim Frøyshov.

My ORCID record is 0000-0003-3440-2131; a list of publications is also maintained on ResearchGate.