Publications

Preprints

  • Positive scalar curvature with point singularities (with S. Cecchini, G. Frenck). arXiv
  • Rigidity of spin fill-ins with non-negative scalar curvature (with S. Cecchini, S. Hirsch). arXiv

Articles

  • Positive mass theorems for spin initial data sets with arbitrary ends and dominant energy shields (with S. Cecchini, M. Lesourd). International Mathematics Research Notices, 2024. arXiv DOI
  • The positive mass theorem and distance estimates in the spin setting (with S. Cecchini). Transactions of the American Mathematical Society, 2024. arXiv DOI
  • Scalar and mean curvature comparison via the Dirac operator (with S. Cecchini). Geometry & Topology, 2024. arXiv DOI
  • Nonnegative scalar curvature on manifolds with at least two ends (with S. Cecchini, D. Räde). Journal of Topology, 2023. arXiv DOI
  • Band width estimates via the Dirac operator. Journal of Differential Geometry, 2022. arXiv DOI
  • On the range of the relative higher index and the higher rho-invariant for positive scalar curvature (with Z. Xie, G. Yu). Advances in Mathematics, 2021. arXiv DOI
  • Transfer maps in generalized group homology via submanifolds (with M. Nitsche, T. Schick). Documenta Mathematica, 2021. arXiv DOI
  • Slant products on the Higson-Roe exact sequence (with A. Engel, C. Wulff). Annales de l’Institut Fourier, 2021. arXiv DOI
  • Width, Largeness and Index Theory. SIGMA, Special Issue on Scalar and Ricci Curvature in honor of Misha Gromov on his 75th Birthday, 2020. arXiv DOI
  • Positive scalar curvature and low-degree group homology (with N. Bárcenas). Annals of K-Theory, 2018. arXiv DOI
  • An index obstruction to positive scalar curvature on fiber bundles over aspherical manifolds. Algebraic & Geometric Topology, 2017. arXiv DOI
  • Positive scalar curvature and product formulas for secondary index invariants. Journal of Topology, 2016. arXiv DOI
  • Coarse median structures and homomorphisms from Kazhdan groups. Geometriae Dedicata, 2016. arXiv DOI

Survey

  • Scalar curvature and generalized Callias operators (with S. Cecchini). Perspectives in Scalar Curvature, volume edited by M. Gromov and B. Lawson, World Scientific, 2023. DOI

Theses

  • Secondary large-scale index theory and positive scalar curvature. Doctoral thesis, University of Göttingen, 2016. DOI
  • Coarse median structures on groups, Master’s thesis, University of Vienna, 2013. DOI