Webpage of the “Chaire professorale Université Paris Cité” (09/2021 – 12/2024).
Plan d’investissements France 2030, IDEX UP ANR-18-IDEX-0001.

Member

• A. Belotto da Silva (Principal Investigator, Université Paris Cité, IMJ-PRG)

Team members

• F. Bernard (Université Paris Cité, IMJ-PRG)
• Y. Jiang (Université Paris Cité, IMJ-PRG)
• K. Morvan (Université Paris Cité, IMJ-PRG)
• M. Ruggiero (Université Paris Cité, IMJ-PRG)

Scientific topics

• Singular metrics
• Resolution of singularities
• Foliation Theory
• Bi-Lipschitz geometry

Fellowships supported by the Chaire

• François Bernard (Postdoc, 07/2023 – 06/2025).
• Yueting Jiang (PhD, 09/2022 – 08/2025).
• Yueting Jiang (Master, 03/2022 – 08/2022).

Scientific events organized with the support from the Chaire

• Thematic Month: Singularities, differential equations, transcendence 2025
• Singularities in Paris 2024
• Meeting of the GDR singularities for 2022
• Singularities in Paris 2022

Publications supported by the Chaire.

1. A new proof of monomialisation from 3-folds to surfaces
   Yueting Jiang,
   arxiv:2502.17996 [math.AG], 2025.
2. Logarithmic resolution of singularities in characteristic 0 using weighted blow-ups,
   André Belotto da Silva, Dan Abramovich, Ming Hao Quek, Michael Temkin and Jarosław Włodarczyk
   arXiv:2503.13341, [math.AG], 2025.
3. Principalization on logarithmically foliated orbifolds,
   André Belotto da Silva, Dan Abramovich, Michael Temkin and Jarosław Włodarczyk
   arXiv:2503.00926, [math.AG], 2025.
4. Singularities Admitting Contracting Automorphisms
   Kémo Morvan,
   arrxiv:2412.11583, [Math.CV], 2024.
5. Seminormal toric varieties, 
   François Bernard, A. Boivin, 2024 [arXiv]
6. The analytic minimal rank Sard Conjecture,
   André Belotto da Silva, Adam Parusinski and Ludovic Rifford,
   hal-03741318, [math.DG], 2022.
   See our talk at the Conference “Foliations in Algebraic and Birational geometry” here.
7. Abnormal subanalytic distributions in sub-Riemannian geometry,
   André Belotto da Silva, Adam Parusinski and Ludovic Rifford,
   hal-04881557, [math.DG], 2025.
8. On rank Theorems for morphisms of local rings,
   André Belotto da Silva, Octave Curmi and Guillaume Rond,
   arxiv:2205.03079, [math.AG], 2022.
   See G. Rond’s talk on the Fields Institute here.
9. Abnormal Singular Foliations and the Sard Conjecture for generic co-rank one distributions,
   André Belotto da Silva, Adam Parusinski and Ludovic Rifford,
   To apper in Revista Matemática Iberoamericana.
   ArXiv version here.
10. Partial desingularization,
    André Belotto da Silva, Edward Bierstone and Ramon Ronzon Lavie,
    Transactions of the American Mathematical Society, 378, No. 4, 2829-2879 (2025).
    ArXiv version here.
11. On the Nash points of subanalytic sets,
    André Belotto da Silva, Octave Curmi and Guillaume Rond,
    Journal of Singularities, volume 27 (2024), 68-88.
    See G. Rond’s talk on the Fields Institute here.
    ArXiv version here.
12. Relative Lipschitz saturation of complex algebraic varieties, 
    François Bernard, 2023 [arXiv], to appear in Advances in Geometry.