Start: October 1, 2024 -- End: -- -- Funding amount: € 236.468,00
Project Leader: Alfred Geroldinger
Project participants: Laura Cossu (external member), Sophie Frisch
Research institution: University of Graz
Start: January 1, 2024 -- End: -- -- Funding amount: € 301.178,34 -- Project no.: PAT 9756623 -- Website
Principal investigator: Laura Cossu (unitl May 31, 2024), Andreas Reinhart (from June 1st, 2024)
Local participant: Alessio Moscariello
International project participants: Felix Gotti (Massachusetts Institute of Technology), Bruce Olberding (New Mexico State University), Salvatore Tringali (Hebei Normal University), Laura Cossu (University of Cagliari) from June 2024.
Research institution: University of Graz
Publications:
L. Cossu, S. Tringali, On the arithmetic of power monoids. (arXiv:2503.08615)
F. Campanini, L. Cossu, S. Tringali, The category of atomic monoids: universal constructions and arithmetic properties. (arXiv:2502.06610)
L. Cossu, B. Olberding, Realization of spaces of commutative rings, J. London Math. Soc. (2025), 111: e70175. (published, arXiv:2409.18207)
L. Cossu, Some applications of a new approach to factorization in M. Brešar et al. (eds.), Recent Progress in Ring and Factorization Theory, Springer Proceedings in Mathematics & Statistics 477 (2025), Springer, Cham. (published, arXiv:2312.08145)
Start: April 1, 2020 -- End: September 30, 2023 -- Project no.: P33499-N
Principal investigator: Alfred Geroldinger
Project participants (as Postdocs): Laura Cossu (August 1-September 30, 2023), Andreas Reinhart, Qinghai Zhong
Research institution: University of Graz
Publications can be found on the project website
Start: August 2, 2021 -- End: August 1, 2023 -- Funding amount: € 174.167,04 -- Grant agreement ID: 101021791
Researcher: Laura Cossu
Supervisor: Alfred Geroldinger
Research institution: University of Graz
Publications:
L. Cossu, S. Tringali, On the arithmetic of power monoids. (arXiv:2503.08615)
F. Campanini, L. Cossu, S. Tringali, The category of atomic monoids: universal constructions and arithmetic properties. (arXiv:2502.06610)
L. Cossu, B. Olberding, Realization of spaces of commutative rings, J. London Math. Soc. (2025), 111: e70175. (published, arXiv:2409.18207)
L. Cossu, Some applications of a new approach to factorization in M. Brešar et al. (eds.), Recent Progress in Ring and Factorization Theory, Springer Proceedings in Mathematics & Statistics 477 (2025), Springer, Cham. (published, arXiv:2312.08145)
L. Cossu, S. Tringali, On the finiteness of certain factorization invariants, Ark. Mat. 62 (2024), no. 1, pp. 21–38. (published, arXiv:2301.09961)
S. Tringali, A characterisation of atomicity, Math. Proc. Camb. Phil. Soc. 175 (2023), 459–465. (published, arXiv:2209.05238)
L. Cossu, S. Tringali, Factorization under Local Finiteness Conditions, J. Algebra 630 (2023), pp.128–161. (published, arXiv:2208.05869)
L. Cossu, S. Tringali, Abstract Factorization Theorems with Applications to Idempotent Factorizations, Israel J. Math. 263 (2024), pp. 349--395. (published, arXiv:2108.12379)
Photo: on the way to Dripping Springs. Organ Mountains, Las Cruces (NM).