Projects

Discrete Mathematics - Styria

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

FWF project PAT 9756623. A broad theory of factorization: from matrices to ideals

Start: January 1, 2024 -- End: December 31, 2026 -- Funding amount: € 301.178,34 -- Project no.: PAT 9756623

Principal investigator: Laura Cossu (unitl May 31, 2024), Andreas Reinhart (from June 1st, 2024)
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, B. Olberding, Realization of spaces of commutative rings (submitted preprint).
L. Cossu, Some applications of a new approach to factorization, Proceedings of the Conference on Rings and Factorizations, Springer Proceedings in Mathematics and Statistics, to appear (preprint).
L. Cossu, S. Tringali, On factorization in power monoids (submitted preprint).

FWF project P33499-N. Arithmetic of Rings and of their Ideals and Modules

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

MSCA-IF-2020. FacT-in-MaRs: Factorization Theory in Matrix Rings

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, B. Olberding, Realization of spaces of commutative rings (submitted preprint).
L. Cossu, Some applications of a new approach to factorization, Proceedings of the Conference on Rings and Factorizations, Springer Proceedings in Mathematics and Statistics, to appear (preprint).
L. Cossu, S. Tringali, On factorization in power monoids (submitted preprint).
L. Cossu, S. Tringali, On the finiteness of certain factorization invariants, Ark. Mat. 62 (2024), no. 1, pp. 21–38 (published, preprint version).
L. Cossu, S. Tringali, Factorization under Local Finiteness Conditions, J. Algebra 630 (2023), pp.128–161 (published, preprint version).
L. Cossu, S. Tringali, Abstract Factorization Theorems with Applications to Idempotent Factorizations, Israel J. Math. (2024), online first (online first, preprint version).

Photo: on the way to Dripping Springs. Organ Mountains, Las Cruces (NM).