Articles


- Some classes satisfying the 2-dimensional Jacobian conjecture and a proof of the complex conjecture until degree 104

 Quaestiones Mathematicae, Vol. 48(2), 1-15, 2025. pdf 


-Local bi-Lipschitz classification of semi-algebraic surfaces (with J.-P. Brasselet and M.A.S. Ruas). 

Dalat University Journal of Science, Vol. 15(3), 76-97, 2025. pdf 


-Classes especiais de campos de vetores na esfera (with Jean-Paul Brasselet and Dahisy Lima). 

To appear in Revista Matemática Universitária, 2025. 

- Poincaré-Hopf Theorem for singular analytic varieties (with T. Mostowski and J.-P. Brasselet). Banach Center Publications, Vol. 128, 23-43, 2024. pdf 


- A singular variety associated to the smallest degree Pinchuk map

Matemática Contemporânea, Vol. 53, 135-154, 2023. pdf


- Local Euler obstruction, old and new III (with Nivaldo G. Grulha Jr. and J.-P. Brasselet). 

Journal of Singularities, Vol. 25, 90 – 122, 2022. pdf


- An elementary proof of Euler’s formula using Cauchy’s method (with J.-P. Brasselet). 

Topology and its applications, Vol. 293, p.107558, 2021. pdf


- Teorema de Poincaré-Hopf (in Portuguese - with J.-P. Brasselet). 

Revista eletrônica Paulista de Matemática, Vol. 16, 134-162, 2019. pdf


On singular varieties associated to a polynomial mapping from Cn to Cn-1 (with M.A.S. Ruas).  

The Asian Journal of Mathematics, Vol. 22, 1157-1172, 2018. pdf


On singular varieties associated to a polynomial mapping (with A. Valette & G.Valette). 

Journal of Singularities, Vol. 7, p 190-204, 2013. pdf



Reprints: 

With Mostowski T. and Brasselet J.-P, 2024. ArXiv: 2502.07567.


Ph.D. Thesis (in French)

Etude de certains ensembles singuliers associés a une application polynomiale. 

Rapporteurs: Mutsuo OKA, HA Huy Vui. Published on: HAL Open Science, tel-00875930.


Mini-courses (in Portuguese): Uma Introdução a aplicações polinomiais e Conjectura Jacobiana. pdf