We welcome Philipp di Dio to the Zukunftskolleg
Philipp di Dio is the final of the new Research Fellows from the 15th call for applications. He has started his fellowship in March and is affiliated with the Department of Mathematics and Statistics.
Philipp did his PhD at the University of Leipzig and the Max-Planck-Institute for Mathematics in the Sciences, Leipzig, under supervision of Prof. Dr. Konrad Schmüdgen in the field of the (truncated) moment problem with emphasis on functional analytic aspects. His PhD was funded by a PhD scholarship of the Max-Planck-Institute and the DFG.
After his PhD, he continued for a short time his research with Konrad Schmüdgen at the University of Leipzig. He then joined Mario Kummer at the Technical University of Berlin to continue working on the (truncated) moment problem and intensifying his algebraic perspective in this field. After that, he moved to Toulouse, France, to join the Laboratoire d'analyse et d'architecture des systèmes (LAAS-CNRS) under supervision of Victor Magron, Milan Kordan and Jean-Bernard Lasserre to intensify his computational understanding of the moment problem.
“Moments appear in different aspects of everyday lives. E.g. in physics and engeniering as the moments of inertia or rotation, in statictics as expectation values or in image processing in medicine (MRT)”, explains Philipp the focus of his research project. “In my project, I want to investigate time-dependent moments of distributions (functions) from partial differential equations (PDE). Recently moment problem implementations showed the usefulness to find solutions of PDEs. I extended the moment problem in a systematic and general way to derivatives of moments and proved the existence of solutions of a PDE. Both methods (the moment theoretic and the PDE methods) shall be combined in this project to improve the theoretical foundation of moment problem implementations for PDEs.”
Apart from his research, Philipp likes the opera and classical music, contemporary and modern art – he paints himself, as well as gardening, plants and nature – when hiking, climbing, riding the bicycle, or visiting the Isle of Mainau.