معرفی
Dr. Marius Müller is a Research Fellow at Ulm University specializing in geometric analysis and calculus of variations, with research addressing free boundary problems, geometric evolution equations, and elastic curve dynamics.
Education:
- PhD in Mathematics, Universität Ulm (advisor: Prof. Anna Dall'Acqua)
His research focuses on higher-order free boundary problems (Obstacle-type and Alt-Caffarelli-type), gradient flows with obstacle constraints, geometric evolution equations for Elastic/Willmore energy, elastic curves in space forms, and anisotropic curvature flows. Müller employs advanced analytical techniques to investigate existence, regularity, and asymptotic behavior of solutions in these domains.
Recent publications (2019-2020) demonstrate concentrated work on Willmore flow of tori, biharmonic Alt-Caffarelli problems, and elastic curve evolution in hyperbolic geometry, bridging theoretical analysis with geometric applications through rigorous PDE methods.
Academic engagement includes presentations at Ulm University's Winter School 'Gradient Flows and Variational Methods in PDEs' (2019), KIT Karlsruhe's TULKKA-Treffen (2019), and RWTH Aachen's EDDY Research Training Group seminars (2018), reflecting active collaboration within Germany's geometric analysis community.
