John Krueger

Research

Publications

  1. Countryman Lines and the Continuum Hypothesis (with Eduardo Martinez Mendoza)
    Submitted.
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  2. Combinatorial Properties Related to the Higher Baumgartner's Axiom
    Submitted.
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  3. A Virtual Five Element Basis for the Uncountable Linear Orders (with Justin Moore)
    Submitted.
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  4. A Strong Kurepa Tree
    To appear in Proceedings of the American Mathematical Society.
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  5. A Strongly Non-Saturated Aronszajn Tree Without Weak Kurepa Trees (with Šárka Stejskalová)
    Submitted.
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  6. Some Results on Finitely Splitting Subtrees of Aronszajn Trees
    To appear in Journal of Symbolic Logic.
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  7. An Almost Kurepa Suslin Tree With Strongly Non-Saturated Square (with Eduardo Martinez Mendoza)
    Advances in Mathematics, Volume 481, December 2025, 35 pp.
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  8. Forcing Over a Free Suslin Tree (with Šárka Stejskalová)
    To appear in Advances in Mathematics.
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  9. On the Consistency Strength of MM(ω1 ) (with Dobrinen, Marun, Mota, and Zapletal)
    Proceedings of the American Mathematical Society, 152 (2024), no. 5, 2229-2237
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  10. A Rigid Kurepa Tree From a Free Suslin Tree
    Journal of Symbolic Logic, Volume 90, Issue 3, 2025, 1198-1205
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  11. Suslin Tree Preservation and Club Isomorphisms
    Journal of Symbolic Logic, Volume 90, Issue 1, 2025, 298-309
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  12. Some Results on Non-Club Isomorphic Aronszajn Trees (with Jose Chavez)
    Notre Dame Journal of Formal Logic, 63 (2022), no. 1, 109-120
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  13. A Large Pairwise Far Family of Aronszajn Trees
    Annals of Pure and Applied Logic, 174 (2023), no. 4, 12 pp.
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  14. Entangledness in Suslin Lines and Trees
    Topology and its Applications 275 (2020)
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  15. Guessing Models Imply the Singular Cardinal Hypothesis
    Proceedings of the American Mathematical Society 147 (2019), no. 12, 5427-5434
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  16. A Note on the Eightfold Way (with Thomas Gilton)
    Proceedings of the American Mathematical Society 148 (2020), no. 3, 1283-1293
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  17. Parametrized Measuring and Club Guessing (with David Aspero)
    Fundamenta Mathematicae 249 (2020), no. 2, 169-183
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  18. A Forcing Axiom for a Non-Special Aronszajn Tree
    Annals of Pure and Applied Logic 171 (2020), no. 8, 23 pp.
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  19. The Harrington-Shelah Model with Large Continuum (with Thomas Gilton)
    Journal of Symbolic Logic 84 (2019), no. 2, 684-703
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  20. Club Isomorphisms on Higher Aronszajn Trees
    Annals of Pure and Applied Logic 169 (2018), no. 10, 1044-1081
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  21. Namba Forcing, Weak Approximation, and Guessing (with Sean Cox)
    Journal of Symbolic Logic 83 (2018), no. 4, 1539-1565
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  22. The Approachability Ideal Without a Maximal Set
    Annals of Pure and Applied Logic 170 (2019), no. 3, 297-382
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  23. Indestructible Guessing Models and the Continuum (with Sean Cox)
    Fundamenta Mathematicae 239 (2017), 221-258
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  24. Mitchell's Theorem Revisited (with Thomas Gilton)
    Annals of Pure and Applied Logic Volume 168 (2017), no. 5, pp 922-1016
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  25. Quotients of Strongly Proper Forcings and Guessing Models (with Sean Cox)
    Journal of Symbolic Logic Volume 81 (2016), no. 1, pp 264-283
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  26. Coherent Adequate Forcing and Preserving CH (with Miguel Angel Mota)
    Journal of Mathematical Logic, Volume 15 (2015), no. 2
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  27. Adding a Club with Finite Conditions, Part II
    Archive for Mathematical Logic, Volume 54 (2015), Issue 1-2, pp 161-172
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  28. Coherent Adequate Sets and Forcing Square
    Fundamenta Mathematicae, 224 (2014), 279-300
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  29. Strongly Adequate Sets and Adding a Club with Finite Conditions
    Archive for Mathematical Logic, 53 (2014), no. 1-2, 119-136
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  30. Forcing with Adequate Sets of Models as Side Conditions
    Mathematical Logic Quarterly, Volume 63 (2017), no. 1-2, pp 124-149
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  31. Weak Square Sequences and Special Aronszajn Trees
    Fundamenta Mathematicae, 221 (2013), no. 3, 267-284
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  32. Separating Weak Partial Square Principles (with Ernest Schimmerling)
    Annals of Pure and Applied Logic, 165 (2014), no. 2, 609-619
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  33. Successive Cardinals with No Partial Square
    Archive for Mathematical Logic, 53 (2014), no. 1-2, 11-21
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  34. Namba Forcing and No Good Scale
    Journal of Symbolic Logic, 78 (2013), no. 3, 785-802
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  35. An Equiconsistency Result on Partial Squares (with Ernest Schimmerling)
    Journal of Mathematical Logic, 11 (2011), no. 1, 1-31
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  36. Weak Compactness and No Partial Squares
    Journal of Symbolic Logic, 76 (2011), no. 13, 1035-1060
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  37. On the Weak Reflection Principle
    Transactions of the American Mathematical Society, 363 (2011), no. 10, 5537-5576
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  38. Dense Non-Reflection for Stationary Collections of Countable Sets (with David Aspero and Yasuo Yoshinobu)
    Annals of Pure and Applied Logic, 61 (2009), 94-108
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  39. Approachability at the Second Successor of a Singular Cardinal (with Moti Gitik)
    Journal of Symbolic Logic, 74 (2009), no. 4, 1211-1224
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  40. Some Applications of Mixed Support Iterations
    Annals of Pure and Applied Logic, 158 (2009), no. 1-2, 40-57
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  41. A General Mitchell Style Iteration
    Mathematical Logic Quarterly, 54 (2008), no. 6, 641-651
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  42. Internally Club and Approachable for Larger Structures
    Fundamenta Mathematicae, 201 (2008), 115-129
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  43. Internally Club and Approachable
    Advances in Mathematics, 213 (2007), no. 2, 734-740
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  44. Internal Approachability and Reflection
    Journal of Mathematical Logic, 8 (2008), no. 1, 23-39
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  45. Thin Stationary Sets and Disjoint Club Sequences (with Sy David Friedman)
    Transactions of the American Mathematical Society, 359 (2007), 2407-2420
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  46. Radin Forcing and its Iterations
    Archive for Mathematical Logic, 46 (2007), no. 3-4, 223-252
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  47. Adding Clubs with Square
    Annals of Pure and Applied Logic, 141 (2006), no. 1-2, 1-28
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  48. Strong Compactness and Stationary Sets
    Journal of Symbolic Logic, 70 (2005), no. 3, 767-777
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  49. Destroying Stationary Sets
    Israel Journal of Mathematics, 147 (2005), 285-328
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  50. Fat Sets and Saturated Ideals
    Journal of Symbolic Logic, 68 (2003), no. 3, 837-845
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