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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.
Papers
Papers
12. Minimal and definable failure of CH
manuscript in preparation
11. Maximal ladders of breadth two
manuscript in preparation
10. Quagmires and large Suslin forests
submitted [arXiv]
9. A solution to Ditor's problem
submitted [arXiv]
8. On maximal ladders
submitted [arXiv]
7. Open colorings and Baumgartner's axiom
Proc. Amer. Math. Soc. 154 (2026), 5361-5371 [arXiv][DOI]
6. Some questions on entangled linear orders, with Raphaël Carroy and Maxwell Levine
J. Symb. Log., accepted for publication [arXiv][DOI]
5. Ladders and Squares
Adv. Math. 485 (2026), 110714 [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. 273 (2026), no. 3, 199-215 [arXiv][DOI]
2. Does DC imply ACω uniformly?, with Alessandro Andretta
J. Symb. Log. 90 (2025), no. 4, 1538-1562 [arXiv][DOI]
1. A game for Baire's grand theorem
Proc. Amer. Math. Soc. 152 (2024), 4903-4914 [arXiv][DOI]
Some Talks
Some Talks
On Ditor's Problem - 10th European Set Theory Conference, University of Helsinki (Finland) - 19 May 2026
How large can an n-ladder be? - Logic Colloquium, University of Vienna (Austria) - 5 March 2026
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
Contacts and CV
Contacts and CV
Email: lorenzo.notaro [at] univie [dot] ac [dot] at
CV: link
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