Postdoctoral Researcher, Universität Bonn
(No relation to the Australian death metal band, The Amenta)
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.