o Pontos Umbílicos em Leis de Conservação, Master’s Thesis, University of Porto, 2001.
o Analytic Classification of Complex Differential Equations, Ph.D. Thesis, University of Porto, 2006
o The geometry and dynamics of complex ordinary differential equations, Habilitation, University of Porto, 2021
Published Papers and Preprints
 (with A. Belotto, M. Klimes, J.C. Rebelo) Liouvillian integrability of vector fields and meromorphic solutions, preprint
 (with A. Belotto, M. Klimes, J.C. Rebelo) A remark on first integrals of vector fields, submitted
 (with J.C. Rebelo) On resolution of 1-dimensional foliations on 3-manifolds,
Russian Mathematical Surveys, Vol. 76, nº 2 (2021), 291-355
Translated to Russian and published in: Uspekhi Mat. Nauk, Vol. 76, no 2 (458), 103-176 (2021)
 (with A.C. Ferreira, J.C. Rebelo) Palais leaf-space manifolds and surfaces carrying holomorphic flows
Moscow Mathematical Journal, vol. 19, nº 2 (2019), 275-305
 (with J.C. Rebelo) Discrete orbits, recurrence and solvable subgroups of Diff(C2,0)
Journal of Geometric Analysis, vol. 27, nº 1 (2017), 1-55
 (with J.C. Rebelo) 2-dimensional Lie algebras and separatrices for vector fields on (C3,0)
Journal de Mathématiques Pures et Appliquées, vol. 105, nº 2 (2016), 248-264
 (with J.C. Rebelo) A note on integrability and finite orbits for subgroups of Diff(Cn,0)
Bulletin Brazilian Math. Soc., vol. 46, nº 3 (2015), 469-490
 (with J.C. Rebelo) Uniformizing complex ODE'S and applications
Revista Matemática Iberoamericana, vol. 30, nº 3 (2014), 799–874
 (with S. Pinheiro) Topological aspects of completely integrable foliations
Journal London Math. Soc. (2), vol. 89, nº 2 (2014), 415–433
 (with J.C. Rebelo) Cyclic stabilizers and infinitely many hyperbolic orbits for pseudogroups on (C,0)
Journal of the Institute of Mathematics of Jussieu, vol. 13, nº 2 (2014), 413-446.
 (with J.F. Mattei, J.C. Rebelo) Generic pseudogroups on (C,0) and the topology of leaves
Compositio Mathematica, vol. 149, nº 8 (2013), 1401 - 1430.
 (with J.C. Rebelo) Separatrices for C2-actions on 3-manifolds
Commentarii Mathematici Helvetici, vol. 88, nº 3 (2013), 677–714.
 Semi-complete vector fields of saddle-node type in Cn
Transactions of the AMS, vol. 360, nº 12 (2008), 6611-6630.
 Semi-complete foliations associated to Hamiltonian vector fields in dimension 2
J. Math. Anal. Appl.,vol. 328, nº 2 (2007), 813-820.
 Equivalence and semi-completude of foliations
Nonlinear Analysis. Theory, Methods and Applications, vol. 64, nº8 (2006), 1647-1896.
 (with J.B. Gonçalves) The geometry of quadratic 2×2 systems of conservation laws
Acta Appl. Math., vol. 88, nº 3 (2005), 269 – 329.
 (with J.B. Gonçalves) The geometry of conservation laws
The J. A. Pereira da Silva Birthday Schrift – Textos de Matemática (série B), nº 32, Departamento da Matemática FCTUC (2002), 17-33.
Papers in Preparation
o (with A. Belotto, M. Klimes, J. Rebelo) Dynamics of Airy equation, P-I and P-II
o (with A. Elshafei, A.C. Ferreira) Geodesic completeness of Pseudo-Riemannian metrics in Lie groups.
o (with A. Elshafei, J. Rebelo) Meromorphic vector fields and PSL(2,C)
o (with A.C. Ferreira, J.C. Rebelo) Complete commuting vector fields and their singular points in dimension 2 (available from arXiv: 1809.09255)
o (with J.C. Rebelo) Local Theory of Holomorphic Foliations and Vector Fields (Lecture Notes of an advanced course available from arXiv:1101.4309)
o (with J.C. Rebelo) Dynamics and Geometry on Homogeneous Spaces: An Introduction (Lecture Notes of an advanced course)
(Last update: July 2021)