Research

Among other things, I am interested in meromorphic flat connections on complex manifolds, their monodromy and their relations with foliation theory. To know more about this, you can take a look at my thesis or my articles below. (Unfortunately to some readers, some of these documents are in french; do not hesitate to ask for informations if you can't read french.)

Papers

1. Joint with Luis Gustavo Mendes and Ivan Pan: Birational geometry of foliations associated to simple derivations and generalizations.
   Bulletin de la SMF, Volume 147 nº4 2019 p. 607-638. Journal.


2. Joint with Viktoria Heu: Algebraic isomonodromic deformations and the mapping class group.
   Journal de l'Institut de Mathématiques de Jussieu, Volume 20 nº5 2021, p. 1497-1545. Journal.


3. Joint with Alcides Lins Neto and Jorge Vitório Pereira: Toward effective liouvillian integration.
   Annales Scientifiques de l'École Normale Supérieure, Volume 55 nº1 2022, p. 185-223. Journal.


4. Joint with Delphine Moussard: Finite braid group orbits in Aff(C)-character varieties of the punctured sphere, pp. 1-48.
   International Math. Research Notices Volume 2018, Issue 11, June 2018, Pages 3388–3442. Journal.


5. Algebraic isomonodromic deformations of logarithmic connections on the Riemann sphere and finite braid group orbits on character varieties, pp 1-41.
   Mathematische Annalen, 2017, Volume 367, Issue 3, pp 965–1005. Journal.


6. A short note: Projective representations of fundamental groups of quasiprojective varieties: A realization and a lifting result.
   Comptes Rendus de l'Académie des Sciences, 2015 vol. 353 nº2 pp 155-159. This is not an announcement note. Journal.


7. In collaboration with Jorge Vitório Pereira: Transversely affine foliations on projective manifolds.
   Mathematical Research Letters, 2014 vol. 21 nº5 pp 985-1014. Journal.


8. Un exemple de feuilletage modulaire déduit d'une solution algébrique de l'équation de Painlevé VI.        → Its maple appendix.
   Annales de l'Institut Fourier, 2014 vol. 64 nº2 pp 699-737. Journal.
   Here is the poster presented at Dominique Cerveau's fest in CIRM. It gives the rough ideas of how things work in the paper above and it is written in english, unfortunately to some readers.

My thesis

defended on the 4th of october 2012.

• The manuscript : Connexions plates logarithmiques de rang deux sur le plan projectif complexe.
• Its maple appendix compound of the maple files promised in the text and the worksheet
  which computes the Galois orbits of irreductible algebraic solutions of PVI.
• The reports of the referees on the manuscript and the report about the defence .