Max Mihailescu
About me
I am a PhD Student in Mathematics at the University of Bonn, working on mathematical physics together with Prof. Margherita Disertori. I started my PhD in November 2022. Before, I also completed my Master and Bachelor degrees in Bonn.
Research Interest
My background is in functional analysis and PDEs, and in my PhD work I am looking at applications in statistical physics. In particular, I study the O(n)-models on rectangular lattices in three and more dimensions, where a phase transition is known to occur for continuous spin systems. My aim is to improve understanding of said transitions, and develop novel tools to study them. Moreover, I am interested in the mathematics of machine learning from a variational point of view, which I focused on during my masters.
Publications
- Convergence rates for Poisson learning to a Poisson equation with measure data,
preprint (2024), arXiv:2407.06783,
with Leon Bungert, Jeff Calder, Kodjo Houssou and Amber Yuan.
Teaching
Summer Semester 2025: Graduate seminar on Percolation
Winter Semester 2023/24: Teaching assistant for Nonlinear PDEs
Contact
Office: Endenicher Allee 60, 2.053
Mail: <lastname> @ iam.uni-bonn.de