ORCID Id 0000-0002-2350-7248

Group Leader of the research group: Laboratori d'Interaccions entre Geometria, Àlgebra i Topologia

Researcher of the project: CLASIFICACION, ESTRUCTURA Y PROPIEDADES DE REGULARIDAD DE ANILLOS, MODULOS, C*-ALGEBRAS Y DINAMICA

Teaching

This course 2025-2026 I am teaching

• Commutative Algebra for the fourth year students of our degree on Mathematics
• Responsible professor for the Pràctiques externes (Internships in industry) of the degree on Mathematics, of the degree on Applied Statistics and of the degree on Computational Mathematics and Data Analytics.
• I am directing two Bachelor's theses: One on Topological Data Analysis codirected with Albert Ruíz, and another on Schur-Weyl Duality.

On February 9th, 2026 Román Álvarez defended his PhD Thesis Relatively Big Projective Modules, Direct Sum Decompositions of Modules, and Representations of Finite Groups 2025 Román Álvarez Arias which I codirected with Pavel Příhoda, under a cotutelle agreement of UAB with Charles University (Prague, Czech Republic)

Research Interests

• Ring and Module Theory
• Homological Algebra
• Representation Theory
• Division Rings

Short Vita  (updated February 2026)

Long Vita  (Last updated April 2018)

Web of Science ResearcherID: J-8230-2014

Scopus Author Id 6603187320

Link to Google Scholar Profile

Recent Publications

I have written around 50 research papers and preprints, between them:

• Dolors Herbera, Michal Hrbek and Giovanna Le Gros; Cotorsion pairs and Tor-pairs over commutative noetherian rings. (2024). 27 pp. arXiv:2411.04514
• Dolors Herbera, Wolfgang Pitsch, Manuel Saorín, Simone Virili; A poisonous example to explicit resolutions of unbounded complexes. (2024) 34 pp. To appear in Publicacions Matemàtiques. Available at arXiv:2407.09741
• Román Álvarez, Dolors Herbera, Pavel Příhoda, Relatively big projective modules and their applications to direct sum decompositions (2025). Journal of Algebra and its Applications, special issue in honor of Tariq Rizvi. Full text available at: arXiv:2504.16568
• Román Álvarez, Dolors Herbera, Pavel Příhoda, Torsion-free Modules over Commutative Domains of Krull Dimension One. (2025). Rev. Mat. Iberoamericana. 42 (2026), no. 1, pp. 123–186 The paper is Open-Acess.. ArXiv version arXiv:2406.14665
• Dolors Herbera, Pavel Příhoda and Roger Wiegand Big pure projective modules over commutative noetherian rings: Comparison with the completion. Forum Mathematicum 37 (2025), 1103--1146. ArXiv version arXiv:2311.05338

Hobbies