I am currently a postdoc, working at the University of Vienna as the project lead in an FWF-ESPRIT grant. I completed my PhD in mathematics from the Polytechnic of Turin in 2025, under the supervision of Alessandro Andretta and Raphaël Carroy.
My research area is set theory, with a focus on infinite combinatorics, forcing, and descriptive set theory.
7. Open colorings and Baumgartner's axiom
submitted [arXiv]
6. Some questions on entangled linear orders, with Raphaël Carroy and Maxwell Levine
submitted [arXiv]
5. Ladders and Squares
Adv. Math. 485 (2026) [arXiv][DOI]
4. Constructibility real degrees in the side-by-side Sacks model
Ann. Pure Appl. Logic 177 (2026), no. 5, 103722 [arXiv][DOI]
3. The breadth of constructibility degrees and definable Sierpiński's coverings, with Alessandro Andretta
Fund. Math., accepted for publication [arXiv]
2. Does DC imply ACω uniformly?, with Alessandro Andretta
J. Symb. Log. (2024) [arXiv][DOI]
1. A game for Baire's grand theorem
Proc. Amer. Math. Soc. 152 (2024), 4903-4914 [arXiv][DOI]
Squares and Ladders - PhD defense, University of Turin (Italy) - 15 April 2025 [slides]
Does DC imply ACω, uniformly? - 120 Years of Choice, University of Leeds (UK) - 8 July 2024 [slides]
Does DC imply ACω, uniformly? - KGRC Research Seminar, University of Wien (Austria) - 11 June 2024
Does DC imply ACω, uniformly? - Oberseminar in Mathematical Logic, University of Freiburg (Germany) - 31 October 2023
Tree-representations for Borel functions - Winter School in Abstract Analysis 2022, Hejnice (Czech Republic) - 4 February 2022
Email: lorenzo.notaro [at] univie [dot] ac [dot] at
CV: link