Lorenzo Stefanello
Doctor in Mathematics
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Hi! My name is Lorenzo Stefanello. I recently obtained my PhD in Mathematics from Università di Pisa, with the dissertation Hopf–Galois Structures, Skew Braces, and Their Connection. My supervisors were Prof. Ilaria Del Corso and Dr. Paul J. Truman.
My research lies at the intersection of abstract algebra and algebraic number theory. In particular, I am interested in (the interplay between)
- Hopf–Galois structures, which have been shown to have a great impact in Galois module theory
- skew braces, recently introduced objects of group theoretic flavour related to solutions of the Yang–Baxter equation
My email is lorenzo.stefanello@phd.unipi.it. Here you can find my CV and a list of my profiles:
Works
- LS and Senne Trappeniers, On the connection between Hopf–Galois structures and skew braces
Bulletin of the London Mathematical Society 55 (2023), no. 4, 1726–1748 (arXiv version) - A. Caranti and LS, Skew braces from Rota–Baxter operators: a cohomological characterisation and some examples
Annali di Matematica Pura ed Applicata (4) 202 (2023), no. 1, 1–13 (arXiv version) - LS and S. Trappeniers, On bi-skew braces and brace blocks
Journal of Pure and Applied Algebra 227 (2023), no. 5, Paper No. 107295 (arXiv version) - A. Caranti and LS, Brace blocks from bilinear maps and liftings of endomorphisms
Journal of Algebra 610 (2022), 831–851 (arXiv version) - A. Caranti and LS, From endomorphisms to bi-skew braces, regular subgroups, the Yang–Baxter equation, and Hopf–Galois structures
Journal of Algebra 587 (2021), 462–487 (arXiv version)
My Erdős number is 4.
- In the report for Mini-Workshop: Skew Braces and the Yang–Baxter Equation you can find my extended abstract Hopf–Galois theory via skew braces.
- Here you can find the notes of the workshop Galois and Hopf Galois, written with F. Ferri.
Talks
- A relaxed introduction to Hopf–Galois theory
Workshop on Algebra in l’AQuila 2023, 19 October 2023 - The algebraic structure of skew braces
Università degli Studi di Siena, 22 September 2023 - Skew braces: From the Yang–Baxter equation to Hopf–Galois structures
XXII Congresso dell'Unione Matematica Italiana, 4 September 2023 - On notions of solubility in Hopf–Galois theory
Skew braces, skew bracoids, and Hopf-Galois structures, 2 August 2023 - Describing Hopf–Galois structures via skew braces
Young Researchers Algebra Conference 2023, 28 July 2023 - Skew braces and the Hopf–Galois correspondence
Groups, Rings and the Yang-Baxter equation 2023, 22 June 2023 - Skew braces and Rota–Baxter operators
Advances in Group Theory and Applications 2023, 7 June 2023 - Bi-skew braces in Hopf–Galois theory
Hopf algebras and Galois module theory, 29 May 2023 - Skew braces and the Hopf–Galois correspondence
The Interplay Between Skew Braces and Hopf-Galois Theory, 18 April 2023 - Hopf–Galois theory via skew braces
Skew Braces and the Yang–Baxter Equation (Oberwolfach Mini-Workshop), 2 March 2023 - Hopf–Galois theory and skew braces: Open problems and directions
Keele University, 30 January 2023 - Some explicit constructions of skew braces
Categories, Rings and Modules, a conference in honor of Alberto Facchini, 28 January 2023 - Hopf–Galois theory via (opposite) skew braces
University of Exeter, 13 September 2022 - Some new results on bi-skew braces
The algebra of the Yang-Baxter equation, 14 July 2022 - Skew braces that do not come from Rota–Baxter operators
Ischia Group Theory 2022, 24 June 2022 - Some new examples of Hopf–Galois structures in which the Hopf–Galois correspondence is surjective
Hopf algebras and Galois module theory, 31 May 2022 - On bi-skew braces and related topics
QA Seminar (Vrije Universiteit Brussel), 18 May 2022 - Skew braces, brace blocks, and the Yang–Baxter equation
Inform on Algebra (Università del Salento), 31 March 2022 - Hopf algebras, Galois modules, and skew braces
Insalate di Matematica (Università degli Studi di Milano-Bicocca), 10 March 2022 - Local Galois module theory and ramification: An overview
Number Theory Seminar (Charles University), 25 January 2022 - An explicit construction of brace blocks
Braces in Bracelet Bay, 4 January 2022 - Local Galois module theory: An overview
Young Researchers in Algebraic Number Theory 2021, 19 August 2021 - ... the Yang–Baxter equation, and Hopf–Galois structures
Hopf algebras and Galois module theory, 25 May 2021
Links
Researchers, Papers, and Journals
- MathSciNet
- MR Lookup
- ORCiD
- Scopus
- arXiv
- ResearchGate
- zbMATH
- Semantic Scholar
- Web of Science
- The Mathematics Genealogy Project
- Journal Citation Reports
- SCImago
- SCI Journal
- Springer Journal Suggester
Conferences and Seminars
- Number Theory Web
- researchseminars
- MathMeetings
- Conference Service
- Ramification, Galois Module Structure and Hopf-Galois Theory
- Advances in Group Theory and Applications
- Galois and Hopf Galois
Useful Links
- Mathematics Subject Classification
- Overleaf
- Connected Papers
- Detexify
- quiver
- anvur
- Abilitazione Scientifica Nazionale
- Bandi MIUR
- Premi UMI
Didactics and Databases
- Mathematics StackExchange
- MathOverflow
- Groupprops
- nLab
- A Database For Number Fields
- A Database for Class Groups of Number Fields
- LMFDB: The L-functions and modular forms database
- Database of Ring Theory