# Lorenzo Stefanello

PhD student in Mathematics

## Home

Hi! My name is Lorenzo Stefanello. I am a PhD student in Mathematics at Università di Pisa. My supervisors are Prof. Andrea Caranti, 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)

*skew braces*, recently introduced objects of group theoretic flavour related to solutions of the Yang–Baxter equation*Hopf–Galois structures*, which have been shown to have a great impact in Galois module theory

My email is lorenzo.stefanello@phd.unipi.it. Here you can find my CV and a list of my profiles:

## Works

- LS and S. Trappeniers,
*On the connection between Hopf–Galois structures and skew braces*

arXiv:2206.07610 (2022) - LS and S. Trappeniers,
*On bi-skew braces and brace blocks*

arXiv:2205.15073 (2022) - 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,
*Skew braces from Rota–Baxter operators: a cohomological characterisation and some examples*

Annali di Matematica Pura ed Applicata (2022) (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.

## Talks

*Hopf–Galois theory via (opposite) skew braces*

Pure Mathematics Seminar (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
- Publons
- 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

#### Didactics and Databases

- Mathematics StackExchange
- MathOverflow
- Groupprops
- 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