Research interests

• Representation of associative algebras.

• Evolution algebras.

• Homological algebra.

Publicações

1. [DOI] Derivations and loops of some evolution algebras (with Yolanda Cabrera and Tiago Reis). Revista de la Real Academia de Ciencias Exactas Fisicas y Naturales.  Serie A, Matemáticas.  Vol. 117, 119, 2023.

2. [DOI]  [ArXiv] Hilbert evolution algebras and its connection with discrete-time Markov chains (with Sebastian Vidal and Pablo M. Rodríguez).  Indian Journal of Pure and Applied Mathematics, Vol. 54, p. 883–894, 2023.

3. [DOI] [ArXiv] On Hilbert evolution algebras of a graph (with Sebastian Vidal and Pablo M. Rodríguez).  Siberian Mathematical Journal, Vol. 63, p. 995–1011, 2022.

4. [DOI] [ArXiv] Derivations of Evolution Algebras associated to graphs over a field of any characteristic (with Tiago Reis).  Linear and Multilinear Algebra,  Vol. 7, Issue15, 2022. 

5. [DOI] [ArXiv] On the characterization of the space of derivations in evolution algebras  (with Yolanda Cabrera, Mary L. Rodiño and Pablo M. Rodríguez). Annali di Matematica Pura ed Applicata,  200,  p. 737–755, 2021.

6. [DOI] [ArXiv] An Improved Lower bound for the critical parameter of the Stavskaya's Process (with Alex Ramos, Caliteia Sousa and Pablo  M. Rodriguez). Bulletin of the Australian Mathematical Society, Vol. 102, Issue 3, p. 517 - 524, 2020.

7. [DOI] Recent progress in the research of evolution algebras associated to graphs (with Pablo M. Rodríguez). Proceeding Series of the Brazilian Society of Computational and Applied Mathematics,  2020.

8. [DOI] [ArXiv] On the isomorphisms between evolution algebras of random walks and graphs (with Mary L. Rodiño and Pablo M. Rodríguez). Linear and Multilinear Algebra,  Vol. 69,  n.10,  p. 1058 - 1077, 2021.

9. [DOI] [ArXiv] The connection between evolution algebras, random walks and graphs (with Mary L. Rodiño and Pablo M. Rodríguez). Journal of Algebra and its Applications, Vol. 19 n.2, 2020.

10. [DOI] [ArXiv] Characterization theorems for the spaces of derivations of evolution algebras associated to graphs (with M. Rodiño and Pablo M. Rodríguez). Linear and Multilinear Algebra,   Vol.  68,  Issue 7, 2020.

11. [DOI] [ArXiv] Stratifying systems over the hereditary path algebra with quiver 𝔸p,q (with E. Marcos). São Paulo Journal of Mathematical Sciences, Vol. 10, p. 73-90, 2016.

12. [DOI] [ArXiv] Stratifying systems over hereditary algebras (with E. Marcos). Journal of Algebra and its Applications, Vol. 14, 1550093, 2015.

Trabalhos submetidos

1. [ArXiv] Hilbert Evolution Algebras, weighted digraphs, and nilpotency (with Sebastian Vidal and Pablo M. Rodríguez). 2023.

2. [ArXiv] Characterization of the absorption radical of an evolution algebra using their associated graph (with Tiago Reis and Mary L. Rodiño). 2023. 

Collaborators

• Alex Ramos (UFPE, Brazil).

• Caliteia  Sousa (UFPE, Brazil).

• Eduardo Marcos (IME-USP, Brazil).

• Mary Luz Rodiño (Universidad de Antioquia, Colombia).

• Pablo Martin Rodríguez (UFPE, Brazil).

• Sebastian Vidal (UNPSJB, Argentina).

• Tiago Reis (UTFPR-UFABC, Brazil).

• Yolanda Cabrera (Universidad de Málaga, Spain).