Alex Amenta
Postdoctoral Researcher, Universität Bonn
I am a mathematician working at Universität Bonn (Germany), funded by a Humboldt Research Fellowship for Postdoctoral Researchers.
My research interests are in harmonic analysis and its intersections with geometric and functional analysis. I am generally interested in problems beyond the standard setting of Euclidean Fourier analysis, such as
- vector-valued harmonic analysis, in which functions are valued in infinite-dimensional Banach spaces, and the geometry of the target space must be appropriately quantified and exploited;
- analysis on Riemannian manifolds and metric measure spaces, and connections with heat kernels and Brownian motion;
- partial differential equations with rough coefficients, and the use of operator-theoretic techniques based on the H^{∞} functional calculus.
I was born and raised in Geelong, Australia, home of the Bollards, the National Wool Museum, and probably most importantly the Australian Centre for Disease Preparedness.