The team consists currently of 5 Principal Investigators (see below).
The first Ph.D. students and PostDocs have joined the team in autumn 2024.
Principal Investigators
Michael Kunzinger
Research interests: Low regularity and synthetic Differential Geometry, Lorentzian Geometry, General Relativity (singularity theorems, low regularity spacetimes), Generalized Functions, Partial Differential Equations.
Raquel Perales
Research interests: Geometric Analysis and Riemannian Geometry; in particular, RCD\((K,N)\) spaces, Ricci, integral Ricci and scalar curvature lower bounds, Geometric Flows, Yamabe-type problems, and General Relativity.
Chiara Rigoni
Research interests: Optimal transport, Riemannian geometry, analysis and geometry on metric measure spaces, synthetic curvature-dimension condition, Dirichlet spaces, Gradient flow theory.
Clemens Sämann
Research interests: Lorentzian geometry, Mathematical General Relativity, in particular low regularity and synthetic approaches to General Relativity; metric (measure) geometry; Optimal Transport.
Roland Steinbauer (coordinator)
Research interests: Mathematical General Relativity (causality theory, cosmic censorship, exact radiative solutions), Low regularity (Lorentzian) Differential Geometry, (Non-linear) Generalized Functions, Mathematics Education Research.