Publications and algorithms
1. DE FREITAS, T. H., PÉREZ, V. H. J., MIRANDA, A. J.
On Bettin numbers of the gluing of germs of formal complex spaces.
Mathematische Nachrichten, v. 295., p. 1-19, 2022.
2. DE FREITAS, T. H., PÉREZ, V. H. J., MIRANDA, A. J.
Gluing of analytic space germs, invariants and Watanabe's conjecture;
Israel Journal of Mathematics, v. 1., p. 1-27, 2021.
3. MIRANDA, A. J., SOUZA, T. A, BARROS, R. M. O.
Polinômio de Alexander via Linguagem Python.
REMAT: REVISTA ELETRÔNICA DA MATEMÁTICA, v. 6., p. 1-16, 2020.
4. HERNANDES, M. E., MIRANDA, A. J., PEÑAFORT-SANCHIS, G.
An algorithm to compute a presentation of pushforward modules.
Topology and its Applications, 2018. https://doi.org/10.1016/j.topol.2017.11.025
https://arxiv.org/pdf/1703.03357.pdf
(See implementation presentationmatrix in Singular).
5. MIRANDA, A. J., SAIA, M. J., SOARES, L. M. F.
On the number of topological orbits of complex germs in K classes (xy, x^a+y^b)
Proceedings of the Royal Society of Edinburgh, 2017. DOI:10.1017/S0308210516000111
6. MIRANDA, A. J., SAIA, M. J.
A presentation matrix associated to the discriminant of a co-rank one map-germ from C^n to C^n.
Contemporary Mathematics, 2016.
(See implementation Presentation CnCn Cor1 in Maple and Singular).
7. A. J. MIRANDA, V. H. JORGE-PÉREZ, E. C. RIZZIOLLI, M. J. SAIA.
Geometry and equisingularity of finitely determined map germs from C^n to C^3, n > 2.
Revista Matemática Complutense, 2016. DOI 10.1007/s13163-015-0187-5.
8. MIRANDA, A. J., RIZZIOLLI, E. C., SAIA, M. J.
JP Journal of Geometry and Topology, 2013.
9. JORGE PEREZ, V. H., MIRANDA, A. J., SAIA, M. J.
Singularidades de Aplicações Estáveis e Contagem de Invariantes Via Ideais de Fitting.
Livro publicado pela editora EDUFPI, Teresina - PI, 2012. ISBN: 978-85-7463-555-2.
10. JORGE PEREZ, V. H., MIRANDA, A. J., SAIA, M. J.
Counting Singularities via Fitting Ideals.
International Journal of Mathematics, 2012.
11. JORGE-PÉREZ, V. H.; MIRANDA, A. J.
Milnor Numbers and Equisingularity of Map Germs From C^(n+3) to C^3.
Contemporary Mathematics. American Mathematical Society, 2008.
12. MIRANDA, A. J.
Fractais: Conjuntos de Julia e Conjuntos de Mandelbrot.
Sigmae, v. 1, p. 110-118, 2012.
13. BARROS, Rui Marcos de Oliveira; MIRANDA, A. J.
KnotDet - Software para cálculo de Determinante de Nós Clássicos.
Revista Tecnológica (UEM), Maringá, v. 11, p. 51- 62, 2002.
Notes and slides of a minicourse presented at the School on Singularity Theory (15 - 21 July 2018 - São Carlos - SP, Brazil).
Slide-School-WorkShop-2018-Lecture01 Slide-School-WorkShop-2018-Lecture02 Slide-School-WorkShop-2018-Lecture03