H. Thiel, E. Vilalta. Soft operators in C*-algebras, J. Math. Anal. Appl. 536 (2024), Article No. 128167, 35 pages.
DOI: 10.1016/j.jmaa.2024.128167 | ArXiv preprint: arXiv:2304.11644

E. Vilalta. Nowhere scattered multiplier algebras, Proc. Roy. Soc. Edinburgh Sect. A. (to appear)
DOI: 10.1017/prm.2023.123 | ArXiv preprint: arXiv:2304.14007

H. Thiel, E. Vilalta. The Global Glimm Property, Trans. Amer. Math. Soc. 376 (2023), 4713-4744.
DOI: 10.1090/tran/8880 | ArXiv preprint: arXiv:2204.13059

H. Thiel, E. Vilalta. Nowhere scattered C*-algebras, J. Noncommut. Geom. 18 (2024), no. 1, 231-263
DOI: 10.4171/JNCG/526 | ArXiv preprint: arXiv:2112.09877

E. Vilalta. The Cuntz semigroup of unital commutative AI-algebras, Canad. J. Math. 75 (2023), no. 6, 1831-1868.
DOI: 10.4153/S0008414X22000542 | ArXiv preprint: arXiv:2104.08165

E. Vilalta. A local characterization for the Cuntz semigroup of AI-algebras, J. Math. Anal. Appl. 506 (2022), no. 1, 125612, 47 pages.
DOI: 10.1016/j.jmaa.2021.125612  |  ArXiv preprint: arXiv:2102.13557

H. Thiel, E. Vilalta. Covering dimension of Cuntz semigroups, Adv. Math. 394 (2022), 108016, 44 pages.
DOI: 10.1016/j.aim.2021.108016 | ArXiv preprint: arXiv:2101.04522

H. Thiel, E. Vilalta. Covering dimension of Cuntz semigroups II. Int. J. Math. 32 (2021), no. 14, 2150100, 27 pages.
DOI: 10.1142/S0129167X21501007 | ArXiv preprint: arXiv:2103.13062

M. A. Asadi-Vasfi, H. Thiel, E. Vilalta. Ranks of soft operators in nowhere scattered C*-algebras, 2023.
ArXiv preprint: arXiv:2310.00663

L. Cantier, E. Vilalta. Fraïssé Theory for Cuntz semigroups, 2023.
ArXiv preprint: arXiv:2308.15792

R. Antoine, P. Ara, J. Bosa, F. Perera, E. Vilalta. The Cuntz semigroup of a ring, 2023.
ArXiv preprint: arXiv:2307.07266

The range problem and dimension theory for the Cuntz semigroup. My PhD thesis at Universitat Autònoma de Barcelona, under the supervision of Francesc Perera, 2022.

An overview of Uniform Roe Algebras: Asymptotic Dimension and Real Rank. My master thesis at Universitat Politècnica de Catalunya, under the supervision of Francesc Perera, 2019.

K-theory for C*-algebras: The hexagonal exact sequence, Reports@SCM (2021). Short introduction to K-theory for C*-algebras based on my bachelor thesis (as part of the Emmy Noether Prize, see my CV).

Teoria K per C*-àlgebres. My bachelor thesis (in catalan) at Universitat Autònoma de Barcelona, under the supervision of Francesc Perera, 2018.