John E. Krueger

Previous Scheduled Teaching

Published Intellectual Contributions

Journal Article

• Krueger, J. (2023). A Large Pairwise Far Family of Aronszajn Trees. Annals of Pure and Applied Logic. 174 (4) 12 pages.
• Krueger, J., Chavez, J. (2022). Some Results on Non-Club Isomorphic Aronszajn Trees. Notre Dame Journal of Formal Logic. 63 (1) 109-120.
• Krueger, J. (2020). A Forcing Axiom for a Non-Special Aronszajn Tree. Annals of Pure and Applied Logic. 171 (8) 23 pages.
• Krueger, J., Gilton, T. (2020). A Note on the Eightfold Way. Proceedings of the American Mathematical Society. 148 (3) 1283-1293.
• Krueger, J. (2020). Entangledness in Suslin Lines and Trees. Topology and its Applications. 275 19 pages.
• Krueger, J., Aspero, D. (2020). Parametrized Measuring and Club Guessing. Fundamenta Mathematicae. 249 (2) 169-183.
• Krueger, J. (2019). Guessing Models Imply the Singular Cardinal Hypothesis. Proceedings of the American Mathematical Society. 147 (12) 5427-5434.
• Krueger, J.E. (2019). The Approachability Ideal Without a Maximal Set. Annals of Pure and Applied Logic. 170 (3) 297-382.
• Krueger, J.E., Gilton, T. (2019). The Harrington-Shelah Model with Large Continuum. Journal of Symbolic Logic. 84 (2) 684-703.
• Krueger, J.E. (2018). Club Isomorphisms on Higher Aronszajn Trees. Annals of Pure and Applied Logic. 169 (10) 1044-1081.
• Krueger, J.E., Cox, S. (2018). Namba Forcing, Weak Approximation, and Guessing. Journal of Symbolic Logic. 83 (4) 1539-1565.
• Krueger, J.E. (2017). Forcing with adequate sets of models as side conditions. Mathematical Logic Quarterly. 63 (1-2) 124-149.
• Krueger, J.E., Cox, S. (2017). Indestructible guessing models and the continuum. Fundamenta Mathematicae. 239 221-258.
• Krueger, J.E., Gilton, T. (2017). Mitchell's theorem revisited. Annals of Pure and Applied Logic. 168 (5) 922-1016.
• Krueger, J.E., Cox, S. (2016). Quotients of Strongly Proper Forcings and Guessing Models. Journal of Symbolic Logic. 81 (1) 264-283.
• Krueger, J.E. (2015). Adding a Club with Finite Conditions, Part II. Archive for Mathematical Logic. 54 (1-2) 161-172.
• Krueger, J.E., Mota, M. (2015). Coherent Adequate Forcing and Preserving CH. Journal of Mathematical Logic. 15 (2)
• Krueger, J.E. (2014). Coherent Adequate Sets and Forcing Square. Fundamenta Mathematicae. 224 279-300.
• Krueger, J.E., Schimmerling, E. (2014). Separating Weak Partial Square Principles. Annals of Pure and Applied Logic. 165 (2) 609-619.
• Krueger, J.E. (2014). Strongly Adequate Sets and Adding a Club with Finite Conditions. Archive for Mathematical Logic. 53 (1-2) 119-136.
• Krueger, J.E. (2014). Successive Cardinals with No Partial Square. Archive for Mathematical Logic. 53 (1-2) 11-21.
• Krueger, J.E. (2013). Namba Forcing and No Good Scale. Journal of Symbolic Logic. 78 (3) 785-802.
• J. Krueger. (2013). Weak Square Sequences and Special Aronszajn Trees.
• J. Krueger and E. Schimmerling. (2011). An Equiconsistency Result on Partial Squares.
• J. Krueger. (2011). On the Weak Reflection Principle.
• J. Krueger. (2011). Weak Compactness and No Partial Squares.
• M. Gitik and J. Krueger. (2009). Approachability at the Second Successor of a Singular Cardinal.
• D. Aspero, J. Krueger, and Y. Yoshinobu. (2009). Dense Non-Reflection for Stationary Collections of Countable Sets.
• J. Krueger. (2009). Some Applications of Mixed Support Iterations.
• J. Krueger. (2008). A General Mitchell Style Iteration.
• J. Krueger. (2008). Internal Approachability and Reflection.
• J. Krueger. (2008). Internally Club and Approachable for Larger Structures.
• J. Krueger. (2007). Internally Club and Approachable.
• J. Krueger. (2007). Radin Forcing and its Iterations.
• Sy-David Friedman and J. Krueger. (2007). Thin Stationary Sets and Disjoint Club Sequences.
• J. Krueger. (2006). Adding Clubs with Square.
• J. Krueger. (2005). Destroying Stationary Sets.
• J. Krueger. (2005). Strong Compactness and Stationary Sets.
• J. Krueger. (2003). Fat Sets and Saturated Ideals.

Contracts, Grants and Sponsored Research

Grant - Research

• Krueger, J. (Principal), "Forcing and Consistency Results," sponsored by Simons Foundation, National, $42000 Funded. (2019 - 2024).
• Krueger, J.E. (Principal), "Forcing and Consistency Results," sponsored by National Science Foundation, Federal, $140936 Funded. (2015 - 2019).
• Krueger, J.E. (Principal), Schmidt, R. (Principal), "Forcing and Consistency Results," sponsored by Simons Foundation, FOND, Funded. (2019 - 2024).
• Krueger, J.E. (Principal), "Forcing and Consistency Results," sponsored by National Science Foundation, FED, Funded. (2015 - 2019).