My Research Interests
I am interested in doing geometric analysis on singular and non-compact manifolds by use of manifolds with corners. More precisely, I make use of various tools which allow for a systematic way of translating the study of behavior near singularities or at infinity to the study of behavior near the boundary of a manifold with corners. This has various applications, in particular, in the study of moduli spaces which are naturally singular or non-compact, or for different geometric questions like Gromov-Hausdorff limits of Kähler-Einstein manifolds, hyperbolic geometry...etc
Preprints and publications
- Asymptotics for resolutions and smoothings of Calabi-Yau conifolds (2025). [arxiv.org/abs/2503.16702].