My name is Aaron Tyrrell. I recently finished my PhD at the University of Notre Dame under the supervision of Professor Matt Gursky. My thesis was titled Renormalized Volume and Area. In September 2021 I started in my current position as a Research Associate at the University of Texas at Dallas, I am working with Professor Stephen McKeown. My research interests lie primarily in an area of geometric analysis that is connected to the holographic study of conformal geometry initiated by Fefferman and Graham. I have been particularly interested in questions around renormalized area and volume. Below I have attached titles and links to some of my latest work.
- Renormalized volume of minimally bounded regions in asymptotically hyperbolic Einstein spaces, 2021: http://arxiv.org/abs/2101.11755v1
- Renormalized Area for 4D-Minimal Hypersurfaces of a Poincare-Einstein Space, 2022: Paper in preparation