I am currently an associated professor at the Federal University of Rio de Janeiro (UFRJ) and a permanent member of the Graduate Program in Mathematics (PPGMAT-UFES) at the Federal University of Espírito Santo (UFES), where I served as a professor for 13 years.  

My research focuses on differential equations, foliations, and singularity theory. I am also interested in investigating broader applications and interdisciplinary problems.

ORCID: Link

ResearchGate: Link

Lattes Curriculum: Link
E-mail:
fernandoppreis@gmail.com
fernandoreis@ipoli.macae.ufrj.br

Research Groups:
Differential Geometry and Mathematical Physics Group  
Geometry and singularities
Geometry and Topology of Singularities
Non-perturbative methods in Quantum Field Theory and Resurgence  
Algebraic and General Topology

Research Papers 

• (N.M.Alvarenga, E.Cavalcanti, C.A.Linhares, J.A. Lourenço, J.R.P.Mahon) INSTATONS AND TRANSSERIES OF THE MATHIEU POTENTIAL DEFORMED BY A PT SYMMETRY PARAMETER. Brazillian Journal of Physics, 54:215, (2024). Link

• (with Bruno Scardua ) 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 Silvaand Maico Ribeiro) TOPOLOGY OF FIRST INTEGRALS VIA MILNOR FIBRATIONS. Matematica comtemporanea, v.53, 2, 5-22, (2023). Link

•  (with Fernando Lourenço) A BRIEF INTRODUCTION ON RESIDUE THEORY OF HOLOMORPHIC FOLIATIONS.  Matematica Contemporanea, v.53,2,181-212 (2023). Link

• (with Eurípedes da Silva and David Souza)  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 and Antonio do Espírito Santo ) MILNOR-HAMM FIBRATION FOR MIXED MAPS. Bulletin Brazilian Mathematical Society (2020). Link  

• (with Maico Ribeiro) UMA BREVE INTRODUÇÃO À TEORIA DAS CATEGORIAS. Revista Elementos (2012) Link
  
  Click here to see some work in progress!

Chapter

• 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. 

Submited

• (with Fernando Lourenço and  Eurípedes da Silva) ON FLAGS OF HOLOMORPHIC FOLIATIONS ASSOCIATED WITH SINGULAR SECOND-ORDER ORDINARY DIFFERENTIAL EQUATIONS, https://doi.org/10.48550/arXiv.2308.13370

• (with Edson Sampaio and Leonardo Camara) ON THE TOPOLOGICAL INVARIANCE OF THE ALGEBRAIC MULTIPLICITY OF HOLOMORPHIC FOLIATIONS,  https://doi.org/10.48550/arXiv.2407.09306

Other publications

• Master thesis 2011 (link: Soluções positivas de um sistema elíptico semilinear nos casos crítico e supercrítico )

• Phd thesis 2019 (link: Methods from holomorphic foliations in differential equations)