Research
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All ordinals are cop-robber ordinals.
Joint with Tomáš Flídr and Maria-Romina Ivan.
Theoretical Computer Science, 2026.
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There may be an n-entangled set but no n + 1-entangled sets.
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κ-barely independent families and Tukey types of ultrafilters.
Topology and its Applications, 2026.
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Forcing Axioms and Construction Schemes.
Joint with Osvaldo Guzmán and Stevo Todorčević.
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Some finitizations of club and CH.
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Game-theoretic variants of the splitting number.
Joint with Tatsuya Goto, Yusuke Hayashi, and Takashi Yamazoe.
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Construction Schemes: Transferring structures from ω to ω₁.
Joint with Osvaldo Guzmán and Stevo Todorčević.
Annals of Pure and Applied Logic, 2026.
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Game-theoretic variants of cardinal invariants.
Joint with Tatsuya Goto and Yusuke Hayashi.
RIMS Kôkyûroku No. 2315 (Recent developments in axiomatic set theory), 2024.
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The uniform convergence topology on separable subsets.
Joint with Alejandro Daró Rojas Sánchez, Ángel Tamariz Mascarúa, and Humberto Villegas Rodríguez.
Topology and its Applications, 2024.
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Partition Forcing and Independent Families.
Joint with Vera Fischer, Osvaldo Guzmán, and Jaroslav Šupina.
Journal of Symbolic Logic, 2022.
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Continuous Selections and Prime Numbers.
Topology and its Applications, 2022.
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Thesis
Ph.D. in Mathematics
Construction schemes – Building the uncountable from finite pieces
Universidad Nacional Autónoma de México & Universidad Michoacana de San Nicolás de Hidalgo
, 2024.
Advisors: Michael Hrušák, Osvaldo Guzmán González.
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