Research interests
My research focusses on valuation theory, Hahn groups and fields and their automorphisms.
I am also interested in linguistics, especially in semantics, and their mathematical study and applications.
Key words: Generalised formal power series, automorphism groups, strong additivity, Hahn groups, Hahn fields, valuation invariants.
Papers
2022: The automorphism group of a valued field of generalised formal power series (with S. Kuhlmann), Journal of Algebra, Journal, arXiv.
2021: On Rayner structures (with S. Kuhlmann and L. S. Krapp ), Communications in Algebra. Journal, arXiv.
Preprints
2023: Generalised power series determined by linear recurrence relations (with S. Kuhlmann and L. S. Krapp). arXiv. Submitted for publication.
2024: Automorphisms of valued Hahn groups (with S. Kuhlmann). arXiv.
2024: Automorphisms and derivations on algebras endowed with formal infinite sums (with V. Bagayoko, S. Kuhlmann, L. S. Krapp and D. Panazzolo). arXiv.
In preparation
2023: The automorphism group of the field of surreal numbers (with E. Kaplan and L. S. Krapp)
Theses
PhD thesis: Automorphism groups of Hahn groups and Hahn fields,
2021, University of Konstanz (started December 2017),
supervisor Prof. Salma Kuhlmann.Master thesis: Smooth models of curves,
2013, University of Leiden,
supervisor Prof. David Holmes.Bachelor thesis: Formule per la curvatura di curve e superfici in forma implicita (in Italian),
2011, University of Cagliari,
supervisor Prof. Stefano Montaldo.
Talks
Invited talks
6/2/2024 “Automorphisms of valued Hahn groups” - Exponential fields, BIRS, Banff, Canada. Video.
19/9/2023 “Automorphisms of valued Hahn groups” - Geometry and Model Theory Seminar, Fields Institute, Toronto, Canada. Video.
8/12/2022 “Automorphisms of valued fields of generalised formal power series” - Purdue University Model Theory and Applications Seminar, USA (digitally).
8/6/2022 “The automorphism group of a valued field of generalised formal power series” - Workshop on Tame Geometry, Fields Institute, Toronto, Canada. Video, Slides.
1/3/2022 “On Rayner structures” - Geometry and Model Theory Seminar, Fields Institute, Toronto, Canada (digitally). Video, Slides.
Selected contributed talks
27/05/2021 “Automorphism groups of Hahn groups and Hahn fields” - Vortrag über wesentliche Ergebnisse der Dissertation, Konstanz, Germany.
26/04/2021 “Automorphism groups of valued fields of generalised formal power series” - Oberseminar Math. Logik, Mengenlehre und Modelltheorie, Konstanz, Germany.
16/12/2019 “From Laurent series to strongly linear automorphisms of Hahn fields” - Oberseminar Math. Logik, Mengenlehre und Modelltheorie, Konstanz, Germany.
25/09/2019 “Automorphism groups of Hahn fields and the canonical lifting property” - DMV-Jahrestagung 2019 - Sektion Logik und Theoretische Informatik, Karlsruhe, Germany.
11/06/2019 Poster: “Automorphism groups of Hahn groups and Hahn fields” - Model Theory of Valued Fields and Applications, Münster, Germany.
12/11/2018 “Hahn groups, Hahn fields and their group of automorphisms” - Oberseminar Math. Logik, Mengenlehre und Modelltheorie, Konstanz, Germany.
28/06/2016 “Permanence criteria for varieties of Hilbert type” - Geometric and Combinatorial Methods in Number Theory, Iaşi, Romania. Slides.
05/10/2014 “Varietà e campi Hilbertiani” - Seminari dei Baby Geometri, Pisa, Italy.
Organised events
French-German Summer School Galois Theory and Number Theory, Konstanz 18-24 July 2015. I had a minor role in the local committee.
Conference Real Algebraic Geometry and Model Theory, Konstanz 8-9 October 2018. With L. S. Krapp, G. Lehéricy, P. Michalski and S. Müller.
Symposium of the ALGANT Alumni Network , Benasque 22-26 May 2019. With Bianca Barucchieri, Daniele Casazza and Roberto Gualdi.
Organisational support in the Logic Colloquium, from the WS 2018/19 to the SS2023, organised by Carolin Antos and Salma Kuhlmann.
Recent Advances in Real Algebra and Model Theory, 23/6/2023. With C. Goel, M. Infusino and L. S. Krapp.
Birthday Workshop in honor of Salma Kuhlmann's scientific and career achievements
Research stays
26 - 30/2/2024, Università di Pisa, Pisa, Italy. Guest of Prof. A. Berarducci, Dr. C. Collari, Dr. R. Mennuni.
10 - 23/9/2023, McMaster University, Hamilton, Canada. Guest of Prof. P. Speissegger and Dr. E. Kaplan.
4 - 6/5/2023, Université d'haute Alsace, Mulhouse, France. Guest of Prof. D. Panazzolo.
3 - 26/6/2022, Fields Institute, Toronto, Canada. Thematic programme on tame geometry, transseries and applications.