I am a PhD student at the University of Freiburg in the research group of Nadine Große. My research focuses on boundary value problems for the Dirac operator, such as the spinorial Yamabe equation with boundary. I am currently working on problems involving non-smooth boundaries.
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Name: Eric Trébuchon
Born: March 9, 2005
Current Position: PhD student in Mathematics
Research Areas: Differential Geometry, Global Analysis on Manifolds, Dirac Operators, Boundary value problems on singular spaces
Mathematisches Institut
Universität Freiburg
Ernst-Zermelo-Straße 1
D-79104 Freiburg, GERMANY
E-mail: Eric.Trebuchon@math.uni-freiburg.de
| Semester | Course | Role |
|---|---|---|
| SoSe 2025 | Mathematical Modeling | Assistant |
| WiSe 2024/25 | Complex Analysis | Assistant |
| SoSe 2024 | Curves and Surfaces | Tutor |
| WiSe 2023/24 | Complex Analysis | Tutor |
| SoSe 2023 | Geometric Analysis | Assistant |
| WiSe 2022/23 | Probability I | Tutor |
Master's thesis (supervised by Prof. N. Große)
On an Iterative Scheme for the Spin-Yamabe Equation on Manifolds with Boundary
We study the spinorial Yamabe equation on compact manifolds with boundary, associated with the conformal invariant introduced by S. Raulot. Under smallness assumptions on the parameters, we prove the existence of solutions via an iterative scheme. Using bootstrapping arguments, we obtain smoothness up to the boundary under Shapiro–Lopatinski conditions, and away from the zero set in the interior.
Bachelor's thesis (supervised by Prof. E. Kuwert)
Compactness Theorems for Minimal Surfaces
Study of compactness properties for sequences of minimal surfaces with bounded total curvature.
Last updated: June 2025