Sofia Raible
MSc, University of Marburg, 2025

Project / Thesis:
Bifurcation analysis of a nonlinear aggregation-diffusion equation with nonlinear sensing

Overview:
This project studied bifurcation phenomena in a nonlinear aggregation-diffusion model with nonlinear sensing, focusing on the emergence and structure of nontrivial stationary states. The work fits into a broader programme on nonlocal pattern formation and bifurcation analysis in aggregation-diffusion systems.

Supervision:
Co-supervised with Prof. Ilka Agricola

Current position:
PhD at University of Bonn, Germany (starting 2026).

Links:
Preprint coming soon!

Antonio León Villares
MSc, University of Oxford, 2023

Project / Thesis:
Steady-State Solutions of a Neural Fokker-Planck Equation

Overview:
This project focused on numerical approaches for stationary states in nonlinear Fokker-Planck type equations, with an emphasis on fixed-point formulations and bifurcation structure. This work contributed to ongoing research directions that later developed into preprints on numerical stationary states and the recovery of functional components of PDEs from data.

Supervision:
Co-supervised with Prof. José A. Carrillo

Current position:
Currently a PhD student at the University of Oxford, United Kingdom (started 2025).

Links:
Antonio’s Personal Webpage
(Preprint) Numerical stationary states for nonlocal Fokker-Planck equations via fixed points of consistency maps
(Preprint) Learning functional components of PDEs from data using neural networks