You can find more information on my personal homepage.

• Variational problems arising in geometry, physics and engineering
• constrained gradient flows of higher order
• Willmore-Helfrich-flows of curves and surfaces
• geometric and topological features of Euler's elastic energy
• Lojasiewicz-Simon inequalities

• T. Miura, M. Müller, F. Rupp. Optimal thresholds for preserving embeddedness of elastic flows (2021).
• F. Rupp. The Willmore flow with prescribed isoperimetric ratio (2021).
• M. Müller, F. Rupp. A Li-Yau inequality for the 1-dimensional Willmore energy (2021). Adv. Calc. Var. DOI: 10.1515/acv-2021-0014. (arXiv:2101.08509)
• F. Rupp. The volume-preserving Willmore flow (2020).
• F. Rupp, A. Spener. Existence and convergence of the length-preserving elastic flow of clamped curves (2020).
• F. Rupp. On the Lojasiewicz-Simon gradient inequality on submanifolds. J. Funct. Anal. 279 (2020), 108708. (arXiv:1907.09292)

• August 2021: Online Seminar "Geometric Analysis". "A dynamic approach to the Canham problem" (available on YouTube).
• June 2021: Seminar AG Geometrie und Approximation, TU Darmstadt. "A gradient flow approach to the Canham problem".
• April 2021: Young Geometers Meeting, University of Copenhagen, Denmark. "The Willmore flow with prescribed volume''.
• April 2021: 2nd Geometric Analysis Festival. "A Li-Yau inequality for the one-dimensional Willmore energy'' (available on YouTube).
• December 2020: Online workshop in Geometric Analysis, University of Pisa/SNS Pisa. "The volume-preserving Willmore flow".
• March 2020: Weekly Seminar, EDDY Research Training Group, RWTH Aachen. "The constrained Łojasiewicz-Simon gradient inequality".
• November 2019: Winter School Gradient Flows and Variational Methods in PDEs, Ulm University. "The constrained Łojasiewicz–Simon gradient inequality".
• September 2019: DMV-Jahrestagung, Karlsruhe Institute of Technology. "On the Łojasiewicz–Simon gradient inequality on submanifolds".

• SoSe 2021: Übungsleiter Gewöhnliche Differenzialgleichungen
• WiSe 2019/20: Übungsleiter Maßtheorie
• SoSe 2019: Übungsleiter Elementare Differentialgeometrie
• WiSe 2018/19: Seminar Approximationstheorie, Internetseminar Ergodic Theorems
• Spring 2018 (Syracuse University): Teaching Assistant Calculus II
• Fall 2017 (Syracuse University): Teaching Assistant Calculus I
• SoSe 2017: Übungsleiter Elemente der Funktionalanalysis