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Publications

1. \(\Sigma^1_3\) sets in the Sacks model.
   accepted at ZML, 2025.
2. The Ordering Principle and Dependent Choice. (with P. Holy)
   Bulletin of Symbolic Logic, 2025.
3. Upwards homogeneity in iterated symmetric extensions. (with C. Ryan-Smith and Y. Wei)
   Journal of Symbolic Logic, 2025.
4. Intermediated models and Kinna-Wagner Principles. (with A. Karagila)
   accepted at the Proceedings of the AMS, 2025.
5. Wetzel families and the continuum. (with T. Weinert)
   Journal of the London Mathematical Society, 109: e12918, 2024.
6. Geometric condition for Dependent Choice. (with A. Karagila)
   Acta Mathematica Hungarica, 172: 34-41, 2024.
7. Sequential and distributive forcings without choice. (with A. Karagila)
   Canadian Mathematical Bulletin, 66: 868-880, 2023.
8. Some combinatorial properties of splitting trees.
   Bulletin Polish Acad. Sci. Math., 70: 1-12, 2022.
9. Tree forcing and definable maximal independent sets in hypergraphs.
   Journal of Symbolic Logic, 87: 1419-1458, 2022.
10. Coanalytic ultrafilter bases.
    Arch. Math. Logic, 61: 567-581, 2022.
11. Definable towers. (with V. Fischer)
    Fund. Math., 256: 221-241, 2022.
12. Towers and gaps at uncountable cardinals. (with V. Fischer, D. C. Montoya and D. Soukup)
    Fund. Math., 257: 141-166, 2022.
13. Generalised pseudointersections.
    Math. Log. Quart., 65: 479-489, 2019.

Preprints

• Transcendence degrees over mutually generic extensions. in preparation.
• The Ordering Principle and Higher Dependent Choice. (with P. Holy) submitted.
• Maximal sets without Choice. submitted.
• Preservation of regularity and determinacy in iterations. (with P. Schlicht and J. Schürz) in preparation.