Research Interests

• Variational problems arising from geometry
• Geometric PDEs, in particular Willmore flow
• Euler's elastic energy and its gradient flows
• Lojasiewicz-Simon inequalities

Publications and Preprints

• M. Müller, F. Rupp. A Li-Yau inequality for the 1-dimensional Willmore energy (Preprint 2021).
• F. Rupp. The volume-preserving Willmore flow (Preprint 2020).
• F. Rupp, A. Spener. Existence and convergence of the length-preserving elastic flow of clamped curves (Preprint 2020).
• F. Rupp. On the Lojasiewicz-Simon gradient inequality on submanifolds. J. Funct. Anal. 279 (2020), 108708. (arXiv:1907.09292)

Academic Talks

• 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" 

Teaching

• 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

PhD student of Prof. Dr. Anna Dall'Acqua

Contact Information

• Helmholtzstraße 18
• 89081 Ulm
• Room E.24
• Phone: 0731/ 50-23523
• E-Mail: fabian.rupp(at)uni-ulm.de

Office Hours

by appointment

Mailing Adress

Institute of Applied Analysis
University of Ulm
89069 Ulm, Germany