I am a professor of Mathematics at the Université Paris Cité,
Institut de Mathématiques de Jussieu-Paris Rive Gauche.
Most of my research is around the singularity theory of differential objects (such as differential forms, foliations, maps and metrics). I also work with the interplay between singularity theory with real-geometry (analytic, quasi-analytic, and o-minimal) and sub-Riemannian geometry.
For a presentation of my works until 2019, you can see my HDR (the introduction is in french): “Singularités, feuilletages et applications à la géométrie quasi-analytique et sous-riemannienne“.
I recently gave a mini-course in the Fields institute about Resolution of singularities in quasianalytic classes from (see more here). Below, you can find my lecture notes and videos:
- Lecture 1 : Introduction to resolution of singularities in quasianalytic classes, Video 1 (1h);
- Lecture 2 : Statement of Resolution of singularities, Video 2 (2h);
- Lecture 3 : The Uniformization Theorem, Video 3 (1h);
- Lecture 4 : Local Resolution of singularities, Video 4.1 (2h) and Video 4.2 (1h);
- Lecture 5 : Monomialization of morphisms : Statement, and modifying the Target, Video 5 (2h);
- Lecture 6 : Monomialization of morphisms : Applications, Video 6 (1h);
- Lecture 7 : Monomialization of morphisms : modifying the Source, Video 7 (2h).
André Belotto da Silva
Université Paris Cité, UFR de Mathématiques,
Institut de Mathématiques de Jussieu-Paris Rive Gauche,
Bâtiment Sophie Germain, Bureau 716,
75205 Paris Cedex 13, France.