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. More specifically, I am interested in 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
  • 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

Email: philipp.reiser@unifr.ch
ORCiD: 0000-0002-7997-7484

Preprints

  • Examples of tangent cones of non-collapsed Ricci limit spaces (2024) (arXiv).
  • Positive Ricci curvature on connected sums of fibre bundles (2024) (arXiv).
  • Positive intermediate Ricci curvature on connected sums, with David Wraith (2023) (arXiv).
  • A generalization of the Perelman gluing theorem and applications, with David Wraith (2023) (arXiv).
  • Free torus actions and twisted suspensions, with Fernando Galaz-García (2023) (arXiv).
  • Positive intermediate Ricci curvature on fibre bundles, with David Wraith (2022) (arXiv).
  • Metrics of Positive Ricci Curvature on Simply-Connected Manifolds of Dimension 6k (2022) (arXiv).

Publications

  • Positive Ricci Curvature on Twisted Suspensions. Int. Math. Res. Not. IMRN (to appear) (arXiv).
  • Intermediate Ricci curvatures and Gromov’s Betti number bound, with David Wraith. J. Geom. Anal. 33 (2023), 364 (doi, arXiv).
  • Generalized Surgery on Riemannian Manifolds of Positive Ricci Curvature. Trans. Amer. Math. Soc. 376 (2023), 3397–3418 (doi, arXiv).
  • Cohomogeneity One Manifolds and Homogeneous Spaces of Positive Scalar Curvature, with Georg Frenck and Fernando Galaz-García. Bull. Lond. Math. Soc. 54 (2022), no.1, 71–82 (doi, arXiv).
  • Moduli Spaces of Metrics of Positive Scalar Curvature on Topological Spherical Space Forms. Canad. Math. Bull. 63 (2020), no. 4, 901–908 (doi, arXiv).