Publications
14/05/2025
Articles
- On the Saito number of plane curves, with M. Hernandes
Bulletin of the Brazilian Mathematical Society , 2025 (accepted) - Number of moduli of a germ of complex plane curve
Annali della Scuola Normale Superiore di Pisa, 2025 (accepted) - On the algebraicity of germs of meromorphic functions, with R. Mol
Int. Math. Res. Not. IMRN, 2025 (accepted) - The Saito module and the moduli of a germ of curve
Annales de l’Institut Fourier, 2024 - Number of moduli of a union of smooth curves in the complex plane
Journal of Symbolic Computation, 2022 - Dimension of the moduli space of a curve in the complex plane
Int. Math. Res. Not. IMRN, 2022 - Generic Tjurina number for a branch plane, with M. Hernandes
Transaction of the A.M.S. 2020 - Polar curves and problem of Poincaré for dicritical singularities in the complex plane, with R. Mol
Journal of the Japan Mathematical Society, 2017 - Schlesinger foliation of deformations of foliations
Int. Math. Res. Not. IMRN, 2016 - Classification and moduli space of dicritical foliations with G. Calsamiglia
Ergodic Theory and Dynamical System. 2015 - Classification of absolutely dicritical foliation of cusp type
Publicacions Matemàtiques, 2013 - Moduli spaces for topologically quasi-homogeneous functions, with Emmanuel Paul
Journal of Singularities, 2014. - Existence of a non-algebraic singularities of differential equation, with Loic Teyssier.
Journal of Differential Equations Volume 248, Issue 5, 1 March 2010, Pages 1256-1267 - Normal forms of foliations and curves defined by a function with generic tangent cone, with Emmanuel Paul
Moscow Math. J., 2011, n.1 - Construction of foliations with prescribed separatrix
Ergodic Theory and Dynamical System. 28, 2008 no. 3 817-842 - Rigidity of dicritical foliation in C^2
Int. Math. Res. Not. IMRN 2007, no. 19, Art. ID rnm072, 14 pp. 32S65 - Analytical and formal classification of quasi-homogeneous foliations
Journal of Differential Equation, vol. 245 2008 no.6 - Un problème de Riemann-Hilbert local non-linéaire pour les germes de feuilletages holomorphes singuliers en dimension deux
C.R.Acad. Sci. Paris, Ser. I 344(2007)
Others papers
- Sur la structure tangente d’une équation différentielle ordinaire du premier ordre dans le domaine complexe
Habilitation à diriger des recherches. - Cohomological tool in the study of complex foliations
Cours de l’I.M.C.A., Perou. - Déformations isoholonomiques de feuilletages et modules de germes de courbes
Phd thesis - Faire des mathématiques et les rédiger: petit guide de la démonstration à l’usage des étudiants de Licence
Algorithms
- Courbes.planes : an algorithm to compute some topological invariants for a germ of curve in the complex plane ( runs on Sage 9.* )
- Moduli.QH: a Maple algorithm to compute the number of moduli of a quasi-homogeneous curve.