Philipp Martin Reiser

Philipp Martin Reiser is a Researcher at the Department of Mathematics, University of Fribourg, working in Anand Dessai's research group. He completed his PhD in 2022 at the Karlsruhe Institute of Technology (KIT) under Professors Wilderich Tuschmann and Fernando Galaz-García. His research focuses on Riemannian geometry and geometric topology, with an emphasis on positive curvature conditions, surgery techniques, and moduli spaces of metrics.

Education: PhD (2022, KIT), supervised by Tuschmann and Galaz-García. Dissertation: 'Generalized Surgery on Riemannian Manifolds of Positive Ricci Curvature.'

Research interests include:

• Topology/geometry of manifolds with positive Ricci curvature
• Intermediate Ricci curvature conditions
• Surgery constructions preserving curvature bounds
• Moduli spaces of metrics
• Lie group actions and orbit space dynamics

His recent work explores applications of the Perelman gluing theorem, twisted suspensions, and cohomogeneity one manifolds. He has presented talks on curvature surgery techniques and scalar curvature moduli spaces.

Labs/Groups: Active member of the Differential Geometry group at the University of Fribourg, collaborating with international researchers like David Wraith and Fernando Galaz-García.