# PUBLICATIONS

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. 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**.