I am a PhD student at the Albert-Ludwig 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 regarding self-adjointness and regularity on
non-smooth domains.
Name: Eric Trébuchon
Current Position: PhD student in Mathematics
Research Areas:
Differential Geometry, Global Analysis on Manifolds,
Dirac Operators, Boundary value problems on singular spaces
Albert-Ludwigs-Universität Freiburg
Mathematisches Institut
Abteilung für Reine Mathematik
Ernst-Zermelo-Straße 1, Raum 326
79104 Freiburg im Breisgau
E-mail:
eric.trebuchon [at] math.uni-freiburg [dot] de
| Semester | Course | Role |
|---|---|---|
| WiSe 2025/26 | Mathematical Physics | Assistant |
| 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 Measure Theory | 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.
The Dirac Operator on Conical Domains
Invited talk at Oberseminar Analysis/Numerik, Oldenburg, July 9, 2026
New Challenges for Dirac Operators
Poster and open problem presentation at Universidad Carlos III de Madrid, June 1 - 5, 2026
The Dirac Operator
Short talk at Oberwolfach Seminar: Fluid-Flows on Riemannian Manifolds and the Navier–Stokes Equation, April 27 - May 1, 2026
Rigidity for Non-Negative Scalar Curvature on Polytopes: The Boundary Value Problem
Talk at Scalar Curvature Rigidity, Block Seminar in Sulzbürg, September 28 - October 3, 2025