Overview

I am a postdoctoral researcher in numerical methods for partial differential equations at RWTH Aachen University.

Under the supervision of Prof. Markus Bachmayr, my current work focuses on the approximation of high-dimensional partial differential equations using low-rank techniques and neural networks. My research centers on

• the development of nonlinear approximation spaces, including neural networks, adaptive meshes, and free-knot B-splines;

• the construction of numerical schemes for solving partial differential equations within these spaces;

• the analysis of stability, convergence, and approximation properties of the resulting methods.