Philipp Reiser

I am a postdoc at the Department of Mathematics of the University of Fribourg in the group of Anand Dessai. I received my PhD in 2022 at the Karlsruhe Institute of Technology (KIT) under the supervision of Wilderich Tuschmann and Fernando Galaz-García. My thesis can be found here.

My research interests lie within Riemannian geometry and geometric topology. Topics I have worked on include the following:

  • Topology and geometry of Riemannian manifolds of positive Ricci curvature
  • Various other notions of lower curvature bounds (sectional, scalar, intermediate Ricci curvature)
  • Surgery constructions with or without a lower curvature bound
  • Generalised notions of Ricci curvature
  • Spaces and moduli spaces of Riemannian metrics
  • Torus actions and Lie group actions with low-dimensional orbit space

You can find two online talks I gave here and here.

For more information, see my CV.

Philipp Reiser

Department of Mathematics
University of Fribourg
Chemin du Musée 23
CH-1700 Fribourg, Switzerland

✉ philipp.reiser@unifr.ch
ORCID iD icon 0000-0002-7997-7484

Preprints

  1. Surgery and positive Bakry-Émery Ricci curvature, with Francesca Tripaldi, 2024 (arXiv).
  2. Positive Ricci curvature on connected sums of fibre bundles, 2024 (arXiv).
  3. A generalization of the Perelman gluing theorem and applications, with David Wraith, 2023 (arXiv).

Publications

  1. Positive intermediate Ricci curvature on fibre bundles, with David Wraith. SIGMA Symmetry Integrability Geom. Methods Appl., 2025 (doi, arXiv).
  2. Positive intermediate Ricci curvature on connected sums, with David Wraith. Algebr. Geom. Topol. (to appear). (arXiv).
  3. Free torus actions and twisted suspensions, with Fernando Galaz-García. Forum Math. Sigma, 2025 (doi, arXiv).
  4. Examples of tangent cones of non-collapsed Ricci limit spaces. Nonlinear Anal., 2025 (doi, arXiv).
  5. Metrics of Positive Ricci Curvature on Simply-Connected Manifolds of Dimension 6k. J. Topol., 2024 (doi, arXiv).
  6. Positive Ricci Curvature on Twisted Suspensions. Int. Math. Res. Not. IMRN, 2024 (doi, arXiv).
  7. Intermediate Ricci curvatures and Gromov’s Betti number bound, with David Wraith. J. Geom. Anal., 2023 (doi, arXiv).
  8. Generalized Surgery on Riemannian Manifolds of Positive Ricci Curvature. Trans. Amer. Math. Soc., 2023 (doi, arXiv).
  9. Cohomogeneity One Manifolds and Homogeneous Spaces of Positive Scalar Curvature, with Georg Frenck and Fernando Galaz-García. Bull. Lond. Math. Soc., 2022 (doi, arXiv).
  10. Moduli Spaces of Metrics of Positive Scalar Curvature on Topological Spherical Space Forms. Canad. Math. Bull., 2020 (doi, arXiv).