Jos茅 A. V茅lez, Ph.D.
Professor
- College of Science & Mathematics
Department of Data Science
Education
- Ph.D. in Mathematics, University of Iowa, 2010
- M.S. in Mathematics, University of Iowa, 2007
- M.S. in Mathematics, University of Puerto Rico in Mayaguez, 2005
- B.S. in Mathematics, Universidad Nacional de Colombia in Bogotá, 2002
- Candidate to ASA, Society of Actuaries (Exam P, Exam FM & Exam SRM passed), 2021 - present
Teaching Interests
Calculus, Linear Algebra, Number Theory, Topology, Representation Theory, Homological Algebra, Category Theory, Statistical Risk Models, Life Contingencies, Statistical Machine Learning,
Research Interests
Applications of homological methods in representation theory in topological data analysis, actuarial mathematics, categorical machine learning, and artificial intelligence, and applications of category theory to cognitive science
Recent Publications
- “A short note on deformations of (strongly) Gorenstein-projective modules over the dual numbers”, with Hector Suarez, Sao Paolo J. Math. Sci., Vol. 18, (2024) 1692-1699,
- “A note on finite-dimensional modules over k-algebras”, with P. Rizzo, Commun. Algebra., Vol. 53 (2), (2024), 593-597,
- “Exact weights and path metrics for triangulated categories and the derived category of persistence modules”, with Peter Bubenik, J. Pure and Appl. Algebra, Vol. 229 (2), (2025), 107903,
- “On irreducible morphisms and Auslander-Reiten triangles in the stable category of modules over repetitive algebras”, with Yohny Calderón-Henao and Hernán Giraldo, Algebr. Represent. Theory , Vol. 26, (2023), 2039-2055,