Articles

1. 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. 


2. Local bi-Lipschitz classification of semi-algebraic surfaces. Dalat University Journal of Science, Vol. 15(3), 76-97, 2025. 


3. Classes especiais de campos de vetores na esfera. Revista Matemática Universitária, Vol. 1, 2025. 


4. Poincaré-Hopf Theorem for singular analytic varieties. Banach Center Publications, Vol. 128, 23-43, 2024. 


5. A singular variety associated to the smallest degree Pinchuk map. Matemática Contemporânea, Vol. 53, 135-154, 2023.


6. Local Euler obstruction, old and new III. Journal of Singularities, Vol. 25, 90 – 122, 2022. 


7. An elementary proof of Euler’s formula using Cauchy’s method. Topology and its applications, Vol. 293, p.107558, 2021.


8. Teorema de Poincaré-Hopf (in Portuguese - with J.-P. Brasselet). Revista eletrônica Paulista de Matemática, Vol. 16, 134-162, 2019. 


9. On singular varieties associated to a polynomial mapping from Cn to Cn-1.  The Asian Journal of Mathematics, Vol. 22, 1157-1172, 2018. 


10.  On singular varieties associated to a polynomial mapping. Journal of Singularities, Vol. 7, p 190-204, 2013. 



Reprints: 

11. Chern-Schwartz-MacPherson classes in the view-point of Obstruction Theory and Lipschitz framework

ArXiv: 2502.07567.


12. 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.


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


Book project