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.
Associated Ph.D.-students (financed by VSM or other FWF projects)
Sebastian Gieger
Sebastian Gieger studied Mathematics at the University of Vienna and finished his Master’s degree in 2024. His Master thesis was about area and volume comparison on Lorentzian manifolds, while his Ph.D. project is concerned with foundational topics in Metric Geometry and their counterparts in Lorentzian Length Spaces.
Luca Mrini
Luca Mrini studied at the Perimeter Institute for Theoretical Physics and graduated with an MSc from the Perimeter Scholars International program in Spring 2024. His primary interest in physics is quantum gravity, the structure of its possible theoretical frameworks, and its observable consequences. Luca pursued this interest in his Master’s essay by studying indefinite causal structure in time-symmetric theories. He is now researching applications of synthetic Lorentzian geometry to quantum gravity for his Ph.D. in the Emerging Fields project.
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