Matthias Ostermann

I am a PhD student of Prof. Roland Donninger at the Faculty of Mathematics of the University of Vienna. In my PhD project, I explore new techniques for the stability analysis of blowup in nonlinear geometric wave equations.

Currently, I am holding a PraeDoc position which is supported by the Vienna School of Mathematics.

Contact Information

Faculty of Mathematics,
University of Vienna,
Oskar-Morgenstern-Platz 1,
1090 Vienna,
Room 02.127

E-mail address:	matthias.ostermann@univie.ac.at
ORCID iD:	https://orcid.org/0009-0002-6538-5901

Research Articles

1. On stable self-similar blowup for corotational wave maps and equivariant Yang-Mills connections
   with R. Donninger, submitted for publication. [arXiv:2409.14733]
2. Stable blowup for focusing semilinear wave equations in all dimensions
   Trans. Amer. Math. Soc. 377 (2024), pp. 4727-4778. [Journal article], [arXiv:2304.08187]
3. A characterization of the subspace of radially symmetric functions in Sobolev spaces
   will be published in Commun. Contemp. Math. [Journal article], [arXiv:2209.02286]
4. A globally stable self-similar blowup profile in energy supercritical Yang-Mills theory
   with R. Donninger. Comm. Partial Differential Equations. 48 (2023), no. 9, 1148-1213. [Journal article], [arXiv:2108.13668]

Talks and Conferences

• Workshop: Young researchers in deterministic and probabilistic dispersive equations
  Bernoulli Center, Lausanne, Switzerland, October 2024
  Title: Stable self-similar blowup for nonlinear wave equations beyond light cones
  
• Thematic Programme: Nonlinear Waves and Relativity
  Erwin Schrödinger International Institute for Mathematics and Physics, May 2024
  Title: Stable self-similar blowup for nonlinear wave equations beyond light cones
  
• VSM PhD Colloquium
  TU Wien, Austria, October 2023.
  Title: Stable blowup for semilinear wave equations
  
• Research Seminar: One-Parameter Semigroups for Evolution Equations
  University of Innsbruck, Austria, June 2023.
  Title: Stable blowup for semilinear wave equations
  
• Conference: Harmonic Analysis and Partial Differential Equations
  Bonn, Germany, May 2023.
  
• Summer School 2022: Geometric dispersive PDEs
  Obergurgl, Austria, September 2022.
  Title: Geometric wave equations in self-similar coordinates
• 2^nd IST Austria Summer School in Analysis and PDEs
  Klosterneuburg, Austria, July 2022.
• Recent trends in nonlinear dispersive equations: equilibria, stability, dynamics
  Będlewo, Poland, May 2022.
  You can find my poster from the poster session here.
• Young PDEs Mini Symposium
  University of Vienna, April 2022.
  Title: Stable blowup in the whole space for geometric wave equations
  
• Vienna Master Class Mathematical Physics
  Erwin Schrödinger International Institute for Mathematics and Physics, April 2022.
  Title: Global blow-up analysis for wave equations

Teaching

• Summer 2024
• Proseminar Analysis 3
• Winter 2023
• Proseminar Analysis 1
• Summer 2023
• Proseminar Analysis 2
• Winter 2022
• Tutorials on Partial Differential Equations
• Summer 2022
• Tutorials on Functional Analysis
• Winter 2021
• Exercises on Introduction to Mathematical Methodology
• Summer 2021
• Exercises on School Mathematics: Applied Mathematics

All courses that I have previously taught at the University of Vienna are listed here.