Professor, PhD
I was born in Venezuela in front of the Caribbean sea. So I am a son of the Afro Caribbean culture in Latin America. I did my PhD studies at the Central University of Venezuela and completed my PhD thesis at the University of Toronto, Canada. Later, I was a Postdoctoral Fellow at Instituto Venezolano de Investigaciones Científicas (IVIC) and Postdoctoral Scholar at the University of Denver, Colorado. I've held academic positions in Venezuela, Colombia, and the USA. I'm grateful for all those experiences. I've been in Cal State LA since August, 2019. My research is mainly in Topology, Ramsey Theory and Set Theory. Besides loving math, I also love music. I even write, perform and produce my own music. My friends call me Goyo.
I was a Visiting Faculty Collaborator at the Lawrence Berkeley National Laboratory, June 3 - August 9, 2024. Research in connections between Ramsey theory and quantum information theory. Under the Department of Energy VFP program.
- Honoree of Mathematically Gifted and Black 2023
- Honoree of the American Mathematical Society/Mathematical Association of America Hispanic Heritage Month Celebration 2016
Spring 2026 Teaching:
MATH 2190-01 (Differential Equations and Linear Algebra) and MATH 2550-01+02 (Introduction to Linear Algebra) and MATH 4840-01 (Graph Theory).
Recent Student Research Supervision:
- Master of Science degree thesis supervisor for graduate student Bryce Van Ross. Thesis title: Abstract Simplicial Complexes as Ramsey Structures with Applications to the Neural Network. Spring 2022.
- Master of Science degree thesis supervisor for graduate student Louis Diaz. Thesis title: Abstract Simplicial Complexes as Ramsey Structures with Applications to the Neural Network. Fall 2021
Research Interests:
Ramsey theory, Combinatorics, Set theory, Topology.
Research Papers:
D. Calderon, C. Di Prisco and J. G. Mijares, Ramsey Subsets of The Space of Infinite Block Sequences of Vectors. (2022) Fundamenta Mathematicae, 257 (2022), no. 2, 189–216.
Arias A., Dobrinen N., Giron-Garnica G., and Mijares J. G., Banach spaces from barriers in high dimensional Ellentuck spaces. Journal of Logic and Analysis, 10:5 (2018) 1–42.
Di Prisco C., Mijares J. G., Nieto, J., Local Ramsey Theory: An abstract approach. Mathematical Logic Quarterly 63 (2017), no. 5, 384-396.
Dobrinen N., Mijares J. G., Trujillo T., Topological Ramsey spaces from Fraisse classes. Ramsey-classification theorems, and initial segments of the Tukey types of P-Points. Archive of Mathematical Logic. 56 (2017), no. 7-8, 733–782.
Dobrinen N., Mijares J. G., Topological Ramsey spaces and metrically Baire sets. Journal of Combinatorial Theory, Series A 135 (2015), 161-180.
Mijares J. G., On Galvin's lemma and Ramsey spaces. Annals of Combinatorics, Volume 16 (2012), Issue 2, 319-330.
Di Prisco C., Mijares J. G., Uzcátegui C , Ideal games and Ramsey sets. Proceedings of the American Mathematical Society 140 (2012), 2255-2265.
Mijares J. G., Nieto J, A parametrization of the abstract Ramsey theorem. Divulgaciones Matemáticas. Vol. 16, No. 2, (2008) ,259-274.
Mijares J. G., A notion of selective coideals corresponding to topological Ramsey spaces. Mathematical Logic Quarterly, 53, No. 3 (2007), 255-267.
Mijares J. G., Parametrizing the abstract Ellentuck theorem. Discrete Mathematics, 307 (2007) 216-225.
Books:
Mijares, J. G., Teoría de Ramsey y dinámica de grupos topológicos (Ramsey spaces and dynamics of topological groups - In Spanish). Ediciones IVIC, Caracas. 2012.