Fiorela Rossi Bertone
I am an Argentinian mathematician and mother of two children. I am an Associate Professor at Departamento de Matemática - Universidad Nacional del Sur, Bahía Blanca, Argentina and researcher at CONICET. I am part of Instituto de Matemática de Bahía Blanca (INMABB).
I did my undergrad studies at Universidad Nacional del Sur. I received my Ph.D. in March 2016 under the supervision of Nicolás Andruskiewitsch at Facultad de Matemática, Astronomía y Física, Universidad Nacional de Córdoba.
I am interested in studing deformations of associative algebras and their categories of modules. Also, I have worked with quantum groups, Nichols algebras and representations of Lie algebras.
Contact:
fiorela.rossi at uns.edu.ar
Phone: (54) (291) 4595162 int 3444.
Positions
Profesora Asociada, Universidad Nacional del Sur.
Investigadora Asistente, CONICET.
Research interests
Homological algebra.
Representation theory.
Quantum groups.
Publications
The Ext-algebra for infinitesimal deformations. María Julia Redondo, Lucrecia Román, and Fiorela Rossi Bertone. J. Pure Appl. Algebra, to appear. arxiv:2202.01199.
Lie algebras arising from Nichols algebras of diagonal type. Nicolás Andruskiewitsch, Iván Angiono and Fiorela Rossi Bertone. IMRN, 2021. arXiv:1911.06586. doi:10.1093/imrn/rnab348
L∞-structure on Bardzell's complex for monomial algebras. María Julia Redondo and Fiorela Rossi Bertone. J. Pure Appl. Algebra 226 (2021), 106935. arxiv:2008.08122, doi:10.1016/j.jpaa.2021.106935
Morita invariance for infinitesimal deformations. María Julia Redondo, Lucrecia Román, Fiorela Rossi Bertone and Melina Verdecchia. Algebr. Represent. Theory (2021). arxiv:2003.10366, doi:10.1007/s10468-021-10058-6
On the SO(n+3) to SO(n) branching multiplicity space. Emilio Lauret and Fiorela Rossi Bertone. C. R. Acad. Sci. Paris, Ser. I Math.356:11–12 (2018), 1112–1124.. arxiv:1805.03109, doi:10.1016/j.crma.2018.09.004.
Weight multiplicity formulas for bivariate representations of classical Lie algebras. Emilio Lauret and Fiorela Rossi Bertone. J. Math. Phys. 59:8 (2018), 081705. arXiv:1708.07905, doi: 10.1063/1.5043305.
Multiplicity formulas for fundamental strings of representations of classical Lie algebras. Emilio Lauret and Fiorela Rossi Bertone. J. Math. Phys. 58 (2017), 111703. arXiv:1706.07839, doi: 10.1063/1.4993851.
A finite-dimensional Lie algebra arising from a Nichols algebra of diagonal type (rank 2). Nicolás Andruskiewitsch, Iván Angiono and Fiorela Rossi Bertone. Bull. Belg. Math. Soc. Simon Stevin 24 (1) (2017), 15-34. arXiv:1603.09387.
The quantum divided power algebra of a finite-dimensional Nichols algebra of diagonal type. Nicolás Andruskiewitsch, Iván Angiono and Fiorela Rossi Bertone. Math. Res. Lett. Vol. 24, no.3 (2017), 619-643 . arXiv:1501.04518, doi: 10.4310/MRL.2017.v24.n3.a2.
Preprints
Maurer-Cartan equation for gentle algebras. arxiv:2309.02582. Monique Müller, María Julia Redondo, Fiorela Rossi Bertone, and Pamela Suarez.
On braided co-Frobenius Hopf algebras. arxiv:1911.01305.
Other monographs
Álgebras cuánticas de potencias divididas. PhD Thesis. Advisor: Nicolás Andruskiewitsch. Marzo 2016. PDF.
Teaching
Estructuras Algebraicas - 2021.
Geometría Analítica - 2021.
Cálculo I/IA - 2020.
Análisis Matemático I - 2019.