RESEARCH
My research area is algebraic topology. My interests in this area are topological K-theory, classifying spaces and generalizations, equivariant homotopy and connections between algebraic topology, group theory and representation theory.PUBLICATIONS
J. Cantarero, A local view of finite groups (In Spanish). Abstraction & Application 51 (2025), 124-144.
Based on a minicourse (in Spanish) available here.
J. Calles, J. Cantarero, J. O. Gómez and G. Ortega, On the cohomological triviality of the center of the Frattini subgroup. Bull. Korean Math. Soc. 62 (2025), no. 3, 697-710.
J. Cantarero and A. R. Jiménez, Configuration spaces of commuting elements. To appear in Kyoto J. Math.
J. Cantarero and J. Gaspar-Lara, Fusion-invariant representations for symmetric groups. Bull. Iran. Math. Soc. 50 (2024), no. 29.
J. Cantarero and G. Combariza, Uniqueness of factorization for fusion-invariant representations. Comm. Algebra 51 (2023), no. 12, 5187-5208.
N. Bárcenas and J. Cantarero, A completion theorem for fusion systems. Israel J. Math. 236, 501-531 (2020).
J. Cantarero, N. Castellana and L. Morales, Vector bundles over classifying spaces of p-local finite groups and Benson-Carlson duality. J. Lond. Math. Soc. (2) 101 (2020), no. 1, 1-22.
A. Adem, J. Cantarero and J. M. Gómez, Twisted equivariant K-theory of compact Lie group actions with maximal rank isotropy. J. Math. Phys. 59, 113502 (2018).
J. Cantarero and N. Castellana, Unitary embeddings of finite loop spaces, Forum Math. 29 (2017), no. 2, 287-311.
J. Cantarero, J. Scherer and A. Viruel, Nilpotent p-local finite groups, Ark. Mat. 52 (2014), no. 2, 203-225.
J. Cantarero, Equivariant K-theory, groupoids and proper actions, J. K-theory 9 (2012), no. 3, 475-501.
J. Cantarero, Twisted K-theory for actions of Lie groupoids and its completion theorem, Math. Z. 268 (2011), no. 1-2, 559-583.
My research is currently supported by CONAHCYT Frontier Science Grant CF-2023-I-2649: Hidden symmetries in algebra and topology, since 2023. It was also supported by SEP-CONACYT Basic Science Grant 242186: Homotopical aspects of compact Lie groups during the period 2015-2019.
SUBMITTED
J. Cantarero and B. Villarreal, Counting conjugacy classes of elements of finite order in p-compact groups, Preprint arXiv 2510.11069.
CITATIONS
Citations to my articles and preprints are available here.
PH.D. THESIS
J. Cantarero, Ph.D. Thesis: Equivariant K-theory, groupoids and proper
actions, University of British Columbia, 2009.