My Research Interests
I am interested in doing analysis on manifolds with corners with additional stuctures. In general, manifolds with corners together with some adequate structures (e.g. Lie structures at infinity) can be used to compactify open manifolds or to resolve singular ones in a way that allows for a systematic approach to do analysis on such spaces. This approach can be used for various problems in geometric analysis, in particular, in spectral geometry, analytic torsion, index theorems, special Riemannian and Kähler metrics, the geometry of moduli spaces..etc
Preprints and publications
- Asymptotics for resolutions and smoothings of Calabi-Yau conifolds (2025). [arxiv.org/abs/2503.16702]. Submitted.