Research
Selected Research Publications
Countryman Lines and the Continuum Hypothesis (with Eduardo Martinez Mendoza)
Submitted.Combinatorial Properties Related to the Higher Baumgartner's Axiom
To appear in Forum of Mathematics, Sigma.A Virtual Five Element Basis for the Uncountable Linear Orders (with Justin Moore)
Submitted.A Strongly Non-Saturated Aronszajn Tree Without Weak Kurepa Trees (with Šárka Stejskalová)
Submitted.An Almost Kurepa Suslin Tree With Strongly Non-Saturated Square (with Eduardo Martinez Mendoza)
Advances in Mathematics, Volume 481, December 2025, 35 pp.Forcing Over a Free Suslin Tree (with Šárka Stejskalová)
Advances in Mathematics, 502 (2026), Part C, Article 111178, 58 pp.Guessing Models Imply the Singular Cardinal Hypothesis
Proceedings of the American Mathematical Society 147 (2019), no. 12, 5427-5434Club Isomorphisms on Higher Aronszajn Trees
Annals of Pure and Applied Logic 169 (2018), no. 10, 1044-1081Coherent Adequate Forcing and Preserving CH (with Miguel Angel Mota)
Journal of Mathematical Logic, Volume 15 (2015), no. 2On the Weak Reflection Principle
Transactions of the American Mathematical Society, 363 (2011), no. 10, 5537-5576Internally Club and Approachable
Advances in Mathematics, 213 (2007), no. 2, 734-740Internal Approachability and Reflection
Journal of Mathematical Logic, 8 (2008), no. 1, 23-39Thin Stationary Sets and Disjoint Club Sequences (with Sy David Friedman)
Transactions of the American Mathematical Society, 359 (2007), 2407-2420