# Maximilian Ofner

### Contact Information

Gravitational Physics

Faculty of Physics

University of Vienna

Währinger Straße 17

1st floor

Email: first name 'dot' surname 'at' univie 'dot' ac 'dot' at

### Work

I am currently employed at the University of Vienna in the group of David Fajman, which is part of the of the Gravitational Physics group. This position is funded by the Austrian Science Fund FWF through the project "Relativistische Fluide in der Kosmologie".

My research interests include various topics in geometric analysis with a focus on the initial value problem in mathematical cosmology. Hence, in my research I investigate the solutions and stability properties of partial differential equations on curved manifolds motivated by Einstein's theory of general relativity.

### Education

- Bachelor of Science (Physics) at the University of Vienna (2019)
- Master of Science (Physics) at the University of Vienna (2021)

Thesis: *Future Stability of Relativistic Fluids and
Pressureless Dust in Expanding FLRW-type
Models* (advisor: David Fajman)

### Publication

*Slowly expanding stable dust spacetimes *(with David Fajman and Zoe Wyatt) Preprint
*The Stability of Relativistic Fluids in Linearly Expanding Cosmologies *(with David Fajman, Todd Oliynyk and Zoe Wyatt) International Mathematics Research Notices
*Phase transition between shock formation and stability in cosmological fluids *(with David Fajman, Maciej Maliborski, Todd Oliynyk and Zoe Wyatt) Preprint
### Talks

*Stability of relativistic fluids in slowly expanding cosmological spacetimes* at Mittag Leffler Institute Stockholm (June 2022)
*Structure formation in slowly expanding
cosmological fluids* at the Institute for Gravitational Physics, University of Vienna (March 2023)
*
Dynamics of relativistic fluids in cosmology* at the Erwin Schrödinger Institute (March 2023) for the MCMP Vienna, the content can be found here: Notes.
*Structure formation in slowly expanding cosmological fluids* at KTH Stockholm (Mai 2023)
*Stability of relativistic fluids in slowly expanding spacetimes* at University of
Cambridge (February 2024)
*Expansion thresholds for the stability of cosmological fluids* at Erwin Schrödinger Institute (Mai 2024) Recording (YouTube)
### Miscellaneous

- I participated in the Masterclass Mathematical Physics Vienna and graduated with honors (2021). This is an joint program of the physics and mathematics institutes of the University of Vienna aimed at students who seek a rigorous education in mathematical physics.
- Spring School and Workshops "Mathematical Perspectives of Gravitation beyond the Vacuum Regime" at the ESI Vienna (Spring 2022)
- Summer School "The Cauchy Problem in General Relativity" at the Mittag Leffler Institute Stockholm (June 2022)
- Summer School "Dispersive PDEs" at the University Center Obergurgl (Septmeber 2022)
- "Central European Relativity Seminar" at KTH Stockholm (Mai 2023)
- "Mathematical Relativity: Past, Present, Future" at Erwin Schrödinger Institut
(December 2023)
- "Nonlinear Waves and Relativity" at Erwin Schrödinger Institut
(Mai 2024)
- "Nonlinear Waves and Fluids" at University College London
(June 2024)
- Recipient of the
*VDSP Mobility Fellowship* (2022)