Research Interests

• 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

Publications and Preprints

• M. Müller, F. Rupp. A Li-Yau inequality for the 1-dimensional Willmore energy (2021). To appear in Adv. Calc. Var.
• 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)

Academic Talks

• April 2021: Young Geometers Meeting, University of Copenhagen, Denmark (online). "The Willmore flow with prescribed volume'' 
• April 2021: 2nd Geometric Analysis Festival (online). "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" 

Teaching

• 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

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