Publications:

1. Regularity and structure of non-planar p-elasticae
   Florian Gruen, Tatsuya Miura
   to appear in Math. Ann. | arXiv:2501.07987
2. Continuity up to the boundary for minimizers of the one-phase Bernoulli problem
   Xavier Fernández-Real, Florian Gruen
   Cal. Var. Partial Differential Equations 64, 166 (2025) | arXiv:2408.10019
3. Non-sufficiency of smoothness in the gradient conjecture
   Florian Gruen
   Appl. Math. E-Notes, 25 (2025), 88-93 | arXiv:2408.10582

Theses:

1. EPFL Master's thesis: Regularity of the one-phase problem   Slides   Poster
2. Lund Bachelor's thesis: Optimality gaps and regularity for one-dimensional variational problems   Slides

Other projects:

• REU Project - Hebrew University of Jerusalem: Energy estimates in elasticity
• REU Project - Bremen/Hamburg University: Excitation of spikes in the monostable FitzHugh-Nagumo system  
• EPFL - Semester project 2: On the continuous and discrete gradient conjecture  
• EPFL - Semester project 1: Some Regularity Results for the Obstacle Problem