In here you can find the things that I have written.

## Publications:

(The papers are listed in reversed ordered of writing, the year reflects the completion date and not final publication date.)

- (2024)
**Critical embeddings**

w/ J. Yuan.*Submitted.*MathSciNetarXivJournal - (2024)
**The first measurable can be the first inaccessible cardinal**

w/ Y. Hayut and M. Gitik.*Submitted.*MathSciNetarXivJournal - (2023)
**Which Pairs of Cardinals Can Be Hartogs and Lindenbaum Numbers of a Set?**

w/ C. Ryan-Smith.*Submitted.*MathSciNetarXivJournal - (2023)
**Hilbert Spaces Without Countable AC**

w/ B. Blackadar and I. Farah.*To appear in Münster J. Math.*MathSciNetarXivJournal - (2022)
**Geometric condition for Dependent Choice**

w/ J. Schilhan.*Acta Math. Hungar. 172 (2024), no. 1, 34–41.*MathSciNetarXivJournal - (2022)
**Small measurable cardinals**

w/ Y. Hayut.*Submitted.*MathSciNetarXivJournal - (2021)
**Sequential and distributive forcings without choice**

w/ J. Schilhan.*Canad. Math. Bull. 66 (2023) no. 3, pp, 868–880.*MathSciNetarXivJournal - (2021)
**Choiceless Chain Conditions**

w/ N. Schweber.*Eur. J. Math. 8, 393–410 (2022).*MathSciNetarXivJournal - (2020)
**Approaching a Bristol model**

*Submitted*. MathSciNetarXivJournal - (2019)
**The \(\kappa\)-Strongly Proper Forcing Axiom**.

w/ D. Asperó, S. Cox, and C. Weiss.*Submitted.*MathSciNetarXivJournal - (2019)
**Iterated failures of choice**.*Submitted.*MathSciNetarXivJournal - (2019)
**How to have more things by forgetting how to count them**.

w/ P. Schlicht.*Proc. A. 476 (2020), no. 2239, 782–793.*MathSciNetarXivJournal - (2019)
**Realizing realizability results with classical constructions**.

*Bull. Symb. Log. 25 (2019) no. 4, 429–445*. MathSciNetarXivJournal - (2019)
**Kelley-Morse set theory does not prove the class Fodor principle**.

w/ V. Gitman and J.D. Hamkins.*Fund. Math. 254 (2021), 133-154*. MathSciNetarXivJournal - (2018)
**The Morris model**.

*Proc. Amer. Math. Soc. 148 (2020) 1311–1323*. MathSciNetarXivJournal - (2018)
**Preserving Dependent Choice**.

*Bulletin Polish Acad. Sci. Math. 67 (2019), 19-29*. MathSciNetarXivJournal - (2018)
**Dependent Choice, Properness, and Generic Absoluteness**.

w/ D. Asperó.*Rev. Symb. Log. 14 (2021) no. 1, 225–249*. MathSciNetarXivJournal - (2018)
**Critical Cardinals**.

w/ Y. Hayut.*Israel J. Math. 236 (2020) no. 1, 449–472*. MathSciNetarXivJournal - (2017)
**Spectra of uniformity**.

w/ Y. Hayut.*Comment. Math. Univ. Carolin. 60,2 (2019) 287–300*. MathSciNetarXivJournal - (2017)
**The Bristol model: an abyss called a Cohen real**.

*J. Math. Log. 18 (2018) no. 2, 1850008, 37 pp*. MathSciNetarXivJournal - (2016)
**Fodor's lemma can fail everywhere**.

*Acta Math. Hungar. (2018) 154:231*. MathSciNetarXivJournal - (2016)
**Iterating Symmetric Extensions**.

*J. Symb. Log. 84 (2019) no. 1, pp. 123–159*. MathSciNetarXivJournal - (2015)
**Restrictions on Forcings That Change Cofinalities**.

w/ Y. Hayut.*Arch. Math. Logic 55 (2016), 373–384*. MathSciNetarXivJournal - (2012)
**Embedding Orders Into The Cardinals With \(\DC_\kappa\)**.

*Fund. Math. 226 (2014), 143–156*. MathSciNetarXivJournal

## Notes:

### Lecture notes:

- (2023)
**Forcing & Symmetric Extensions**,

Course I taught at Leeds during the entire year of 2022–2023. - (2017)
**Axiomatic Set Theory**,

Course I taught at HUJI during the autumn of 2016–2017. - (2016)
**Functional Analysis**,

Course taught by Prof. Matania Ben-Artzi at HUJI during the autumn of 2015–2016.

### Other notes:

- (2020)
**Guide to the Bristol model: Gazing into the Abyss**, to appear in RIMS Kokyuroku. (This is a previous version of*Approaching a Bristol model*.) arXiv link. - (2019)
**Notes from MEHIFOX 2019**. arXiv link. (See also this and this.) - (2016)
**Zornian Functional Analysis or: How I Learned to Stop Worrying and Love the Axiom of Choice**. arXiv link. - (2016)
**The Five WH's of Set Theory**. - (2014)
**Downward Löwenheim-Skolem Theorems and Choice Principles**. - (2014)
**Absolutely Choiceless Proofs**. arXiv link. - (2012)
**The Axiom of Choice and Self-Duality of Vector Spaces**.

## Theses:

- (2017)
**Ph.D. Thesis: Iterations of Symmetric Extensions.**Written under the supervision of Prof. Menachem Magidor at the Hebrew University of Jersualem.*(The dissertation is "Iterating Symmetric Extensions", "Fodor's lemma can fail everywhere", and "The Bristol model" papers, in preprint versions, with a short introduction that sums up all of them.)* - (2012)
**M.Sc. Thesis: Vector Spaces and Antichains of Cardinals in Models of Set Theory**. Written under the supervision of Prof. Uri Abraham at Ben-Gurion University of the Negev.*(Last updated: February 11th, 2013).*