Supervision
Students
Doctoral and diploma or master theses supervised, with ongoing and completed projects.
Doctoral theses
- Marta Salamo-Candal — Timelike Ricci curvature bounds in synthetic Lorentzian geometry (ongoing, jointly with Roland Steinbauer)
- Inés Vega-Gonzalez — Singularity theorems and RT-regularity (ongoing, jointly with Roland Steinbauer)
- Darius Erös — Curvature bounds in low regularity (ongoing)
- Alessio Vardabasso — Sobolev calculus in metric measure spaces and applications to general relativity (ongoing, jointly with Chiara Rigoni)
- Michael Koch — b-boundaries and singularity theorems in general relativity (ongoing)
- Jean de Dieu Maniraguha — Extended symmetry analysis of linear and nonlinear Schrödinger equations (ongoing, jointly with Roman Popovych)
- Felix Rott — Fundamental Constructions in Lorentzian Length Spaces (2024)
- Tobias Beran — Timelike curvature comparison in Lorentzian length spaces (2024)
- Melanie Graf — Singularity theorems and rigidity in Lorentzian geometry (2018)
- Alexander Lecke — Non-smooth Lorentzian Geometry and Causality Theory (2016)
- Milena Stojković — Causality Theory for C1,1-metrics (2015)
- Eduard Nigsch — A Nonlinear Theory of Tensor Distributions on Riemannian Manifolds (2010)
- Jasmin Sahbegović — Short-Time Fourier Transform and Modulation Spaces in Algebras of Generalized Functions (2009)
- Sanja Konjik — Group Analysis and Variational Symmetries for Non-Smooth Problems (2008)
- Eberhard Mayerhofer — The wave equation on singular space-times (2006)
Diploma and master theses
- Sebastian Gieger — Area and Volume Comparison in Lorentzian Geometry (2024)
- Fatemeh Montazeri Roudbaraki — Polar factorization of maps on Riemannian manifolds (2024)
- Gunter Wirthumer — Causal boundaries of spacetimes (ongoing, jointly with Roland Steinbauer)
- Carla Mladek — The null distance on a spacetime (2024)
- Darius Erös — On a differential calculus for metric measure spaces (2023)
- Phillip Bachler — Optimal Transport and Riemannian Geometry (2023)
- Theresa Pöll — Integrability of singular distributions (2024)
- Michael Koch — The initial value problem in General Relativity (2021)
- Amalia Poghosyan — Sobolev spaces and wave equations (2021)
- Felix Rott — Reshetnyak's gluing theorem and its applications to billiards (2020)
- Emina Hadzialic — Analytic foundations of low regularity Lorentzian geometry (2020)
- Tobias Beran — Lorentzian length spaces (2020)
- Zorana Matic — The spectral theorem for unbounded normal operators (2020)
- Martin Kirchberger — Lorentzian comparison geometry (2018)
- Tobias Slowiak — Elementare Differentialgeometrie und die hyperbolische Ebene (2017)
- Melanie Graf — Low regularity geometry on semi-Riemannian Manifolds (2014)
- Simon Rössler — Differential Operators on Manifolds (2011)
- Christian Haderer — Causal Structure and Singularity Theory on Space-Times (2010)
- Klaus Kröncke — Comparison Theorems in Riemannian Geometry (2010)
- Nathalie Tassotti — Warped Products in General Relativity (2010)
- Annegret Burtscher — Isomorphisms of Algebras of Smooth and Generalized Functions (2009)
- Magdalena Strauss — Partial Differential Operators with Generalised Coefficients: Hypoellipticity and Solvability (2009)
- Eduard Nigsch — Colombeau Generalized Functions on Manifolds (2006)
- Jasmin Sahbegovic — Regularity and Stability of Functional Equations in Distributions (2006)
- Mark Heinzle — Distributional Aspects of the Schwarzschild Geometry (2003)