About me

I am from Oaxaca, Mexico. I got my PhD in Mathematics in 2019 by the Universidade de Santiago de Compostela. I am currently an Assistant Professor at Universidade de Vigo in didactics of mathematics and member of the Galician Center for Mathematical Research and Technology CITMAga and the Educational Innovation Group MaReMa.


Member of Projects:

alebrije

Education

PhD in Mathematics

Universidade de Santiago de Compostela

PhD thesis

Master degree in Mathematics

Universidade de Santiago de Compostela

Master thesis

Master degree in Secondary Education

Universidad Camilo José Cela

Master thesis

Bachelor's degree in Mathematics

Universidad Autónoma Benito Juárez de Oaxaca

Bachelor thesis

My work

  • Research in mathematics
  • Research in didactics of mathematics
Conformally Einstein Lorentzian Lie groups: extensions of the Euclidean and Poincaré groups. Joint work with E. Calviño-Louzao, E. García-Río and R. Vázquez-Lorenzo. Classical Quantum Gravity, (2024).
Conformally Einstein Lorentzian Lie groups with Heisenberg symmetry. Joint work with E. Calviño-Louzao, E. García-Río and R. Vázquez-Lorenzo. arXiv:2303.00646 [math.DG] , (2023).
Four-dimensional homogeneous Kähler Ricci solitons. Joint work with E. Calviño-Louzao, E. García-Río and R. Vázquez-Lorenzo. Contemp. Math., AMS, (2021).
Four-dimensional homogeneous generalizations of Einstein metrics. Joint work with E. Calviño-Louzao, E. García-Río and R. Vázquez-Lorenzo. Geometry, Lie Theory and Applications, The Abel Symposium 2019-Springer, (2021).
Homogeneous conformal C-spaces in dimension four. Joint work with E. Calviño-Louzao, E. García-Río and R. Vázquez-Lorenzo. Osaka J. Math., (2021).
Bach-flat manifolds and conformally Einstein structures. Publicaciones del Departamento de Geometría y Topología USC, (2020).
Conformally Einstein and Bach-flat four dimensional homogeneous manifolds. Joint work with E. Calviño-Louzao, X. García-Martínez, E. García-Río and R. Vázquez-Lorenzo. J. Math. Pures Appl., (2019).
Constructing Bach flat manifolds of signature (2,2) using the modified Riemannian extension. Joint work with E. Calviño-Louzao, E. García-Río, P. Gilkey and R. Vázquez-Lorenzo. J. Math. Phys., (2019).
Affine surfaces which are Kähler, para-Kähler, or nilpotent Kähler. Joint work with E. Calviño-Louzao, E. García-Río, P. Gilkey and R. Vázquez-Lorenzo. Results Math., (2018).
Bach-flat isotropic gradient Ricci solitons. Joint work with E. Calviño-Louzao, E. García-Río and R. Vázquez-Lorenzo. Pacific J. Math., (2018).
Métricas conforme Einstein en grupos de Lie de dimensión 4. IMAT-USC, (2018).
Conformal geometry of non-reductive four-dimensional homogeneous spaces. Joint work with E. Calviño-Louzao, E. García-Río and R. Vázquez-Lorenzo. Math. Nachr., (2017).
Métricas Conforme Einstein Homogéneas no-reductivas. Publicaciones del Departamento de Geometría y Topología USC, (2017).
¿Un aula inteligente? Cómo los recursos tecnológicos optimizan el estudio de funciones en el área de matemáticas en secundaria. Joint work with X. García-Martínez and D. Martiñán-Otero. Investigación en Educación Matemática XXVI SEIEM. (2023).
Te lo cuentan las matemáticas. Joint work with B. Álvarez Díaz and M. Pérez Rodríguez. Octaedro. (2022).
Vocaciones matemáticas en la última etapa de educación primaria: perspectiva de género. Joint work with B. Álvarez Díaz and M. Pérez Rodríguez. 4º Congreso Mundial de Educación. (2021).
Matemáticas, unha ollada dende a educación primaria. Joint work with B. Álvarez Díaz, E. Loureiro Novo and M. Pérez Rodríguez. Boletín das Ciencias. (2020).
Los recorridos de estudio e investigación en la construcción de buenas prácticas docentes en los estudios de ingeniería. Joint work with C. Fonseca, J. Manuel Casas and X. García-Martínez. Educ. Matem. Pesq., (2020).

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