My research focuses on the interaction between differential equations and their associated geometric and topological structures, emphasizing foliation theory and singularities. Additionally, I am interested in applications that contribute to solving physical problems and interdisciplinary subjects.
(with Fernando Lourenço) Flags of foliations on complex projective spaces admitting nested singular sets.
(with Eurípedes da Silva) Holomorphic Foliations with Integrable and Parallelizable Normal Bundles.
(with Leonardo Camara and Edson Sampaio) Topological Invariance of Algebraic Multiplicity of Holomorphic Foliations in Dimension Three.
(with Edson Sampaio) On the topological invariance of the algebraic multiplicity for codimension one holomorphic foliations.
(with Bruno Scardua (UFRJ)) ON THE INTEGRABILITY OF HILL'S EQUATION OF THE MOTION OF THE MOON. Journal of Mathematics and Statistics Research, v.5, 2, 2582, (2023). Link
(with Eurípedes da Silva(IFCE) and Maico Ribeiro(UFES)) TOPOLOGY OF FIRST INTEGRALS VIA MILNOR FIBRATIONS. Matematica comtemporanea, v.53, 2, 5-22, (2023). Link
(with Fernando Lourenço(UFLA)) A BRIEF INTRODUCTION ON RESIDUE THEORY OF HOLOMORPHIC FOLIATIONS. Matematica Contemporanea, v.53,2,181-212 (2023). Link
(with Eurípedes da Silva(IFCE) and David Souza (IFCE)) CHARACTERIZATION OF TOTALLY GEODESIC FOLIATIONS WITH INTEGRABLE AND PARALLELIZABLE NORMAL BUNDLE. Glasgow Mathematical Journal (2022).Link
(with Bruno Scardua) ON GERMS OF HOLOMORPHIC FOLIATIONS ADMITTING SECTORIAL FIRST INTEGRALS. Boletín de la Sociedad Matemática Mexicana (2021). Link
(with Maico Ribeiro (UFES) and Antonio do Espírito Santo (UFPB)) MILNOR-HAMM FIBRATION FOR MIXED MAPS. Bulletin Brazilian Mathematical Society (2020). Link
(with Maico Ribeiro (UFES)) UMA BREVE INTRODUÇÃO À TEORIA DAS CATEGORIAS. Revista Elementos (2012) Link
(with Fernando Lourenço(UFLA) and Euripedes da Silva (IFCE)); On flags of holomorphic foliations associated with singular second-order ordinary differential equations.
(with Leonardo Camara(UFES) and Edson Sampaio(UFC)) Some results on Mattei's conjecture.
Ribeiro, M. F. S. ; REIS, F. P. P. . Categorias. Teoria das Categorias para Matemáticos: uma breve introdução. 1ed.Rio de Janeiro: Editora da Sociedade Brasileira de Matemática, 2020, v. , p. 5-26.
Ribeiro, M. F. S. ; REIS, F. P. P. . Morfismos e objetos especiais. Teoria das Categorias para Matemáticos: uma breve introdução. 1ed.Rio de Janeiro: Editora da Sociedade Brasileira de Matemática, 2020, v. , p. 29-39.