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Area of research:

Set theory

Research interests:

Models of ZF without a well-ordering of the reals, paradoxical sets (Mazurkiewicz sets, Hamel basis, partitions of $\mathbb{R}³$ in unitary circles).

Publications

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The transcendence degree of the reals over certain set-theoretical subfields (joint with R. Schindler), Journal of Symbolic Logic, 2025. Journal | arXiv:2412.00616.

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Partitions of $\mathbb{R}^3$ into unit circles with no well-ordering of the reals, accepted, to appear in Transactions of the American Mathematical Society. Early view journal | arXiv:2501.03131.

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Funicular preorders can be prelinearized without free ultrafilters on $\mathbb{N}$ (joint with L. Serafin), in preparation.

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You can find my PhD thesis here. A long abstract of my thesis was published in the Bulletin of Symbolic Logic, 2025. See it here.

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You can meet me at:

You might have met me at:

Talks (selection)

• Funicular preorders, social welfare orders and the Axiom of Choice, XVIII International Workshop in Set Theory, Marseille, France
• Funicular preorders, social welfare orders and the Axiom of Choice (slides), Young Set Theory 2025, Vienna, Austria
• Amalgamation, Axiom of Choice and Euclidean geometry, Set theory seminar at KGRC, Vienna, Austria. See the talk here.
• The transcendence degree of the reals over certain set-theoretical subfields, South Eastern Logic Symposium 2025, Gainesville, USA.
• Paradoxical sets and the Axiom of Choice, 120 years without choice, Leeds, UK.