# PUBLICATIONS

J. Cantarero and G. Combariza, Uniqueness of factorization for fusion-invariant representations. To appear in *Comm. Algebra.*

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 J. Gaspar-Lara, Fusion-invariant representations for symmetric groups. ArXiv preprint.

J. Cantarero and A. R. Jiménez, Configuration spaces of commuting elements. ArXiv preprint.

J. Calles, J. Cantarero, J. O. Gómez and G. Ortega, On the cohomological triviality of the center of the Frattini subgroup. ArXiv preprint.

# PH.D. THESIS

J. Cantarero, Ph.D. Thesis: Equivariant K-theory, groupoids and proper
actions, University of British Columbia, **2009**.