Research

Papers:

1. Benitez, Germán; Costa, Gustavo. From the homotopy category of projective modules over gentle algebras to poset representations. J. Algebra 690 (2026), 340–378. https://doi.org/10.1016/j.jalgebra.2025.10.047. Preprint avalaible in arXiv:2501.09179.

2. Benitez, Germán; Quintero Vanegas, Elkin; Vidal Sampaio, Euro. On representations of real quadratic integers as sums of unitary fractions. Boletim da Sociedade Paranaense de Matemática, vol. 43 (2025). https://doi.org/10.5269/bspm.67322. 

3. Benitez, Germán; Souza, Igor.  Conceitos iniciais de Teoria de Categorias via Álgebra Linear. Revista Matemática Universitária (RMU), vol. 2 (2025). https://doi.org/10.21711/26755254/rmu20255.

4. Mutis W., Benavides Agreda F., Benitez G., Una introducción a las subálgebras de Mischenko-Fomenko, Editorial Universidade de Nariño, (2025). Avalaible in https://sired.udenar.edu.co/15849.

5. Benitez Monsalve, G., Payares Guevara, C. R., Quintero Vanegas, E. Equivalence of categories of simple Lie algebras in positive characteristic, Proyecciones (Antofagasta, On line), vol. 42, no. 4, pp. 815–831, Jul. 2023. https://doi.org/10.22199/issn.0717-6279-5335.

6. Benitez, G.,  Ramirez, L. E. Faces of polyhedra associated with relation modules. Arkiv för Matematik. 60 (2022), no. 2, 277–296. https://dx.doi.org/10.4310/ARKIV.2022.v60.n2.a3. Preprint available in arXiv:2107.06315.

7. Benitez, G., Rocha, H. On the freeness problem for truncated current algebras. São Paulo J. Math. Sci. 15, 365–382 (2021). https://doi.org/10.1007/s40863-020-00204-1.

8. Benitez, Germán. Gelfand-Tsetlin varieties for gl(n). Internat. J. Algebra Comput. 30 (2020), no. 7, 1485–1504. https://doi.org/10.1142/S0218196720500502. Preprint available in  arXiv:1802.07248.

Papers accepted for publication:

1. On the Cohomology of o_3(k) and Certain Semidirect Products of o_3(k) in Characteristic 2, with Carlos R. Payares Guevara, in Journal of Lie Theory.

2. 
   
   

Papers submitted:

1. Cochain complexes over a functor, with Pedro Rizzo (2024). Preprint available in arXiv:2403.18834.

2. Lie 2-algebras of toral rank 3, with Carlos R. Payares Guevara  and Elkin O. Quintero Vanegas (2025). Preprint available in arXiv:2406.07554.

3. Triangulated categories to representations of posets, with Gustavo Costa and Lucas Q. Pinto (2025). Preprint available in arXiv:2403.18836.
   
   

Preprints:

1. A note on one-point extension of String Algebras with radical square zero, with Edson Ribeiro Alvares (2019).

2. Gelfand-Tsetlin varieties for Yangians. Preprint available in arXiv:1802.09938 (2018).

PhD Thesis: Variedades de Gelfand-Tsetlin (in Portuguese)

Master Thesis: Um estudo sobre a Categoria Derivada de Álgebras Strings (in Portuguese)

Monograph / Final Course Assignment : Categorias Derivadas y Trianguladas (in Spanish)