Monroe Eskew

Monroe Eskew
Postdoctoral Researcher
Kurt Gödel Research Center
University of Vienna







I am a researcher in set theory. I am currently working as principal investigator on FWF Project P 34603, "Trouble in Cantor's Paradise", and NCN-FWF Weave project PIN 1355423, "Generic large cardinals and determinacy", with Grigor Sargsyan.

CV

Papers:

  1. Dense ideals (with Yair Hayut)
  2. Chang's Conjectures and Easton collapses (with Masahiro Shioya)
  3. Saturated ideals from Laver collapses
    To appear in the Tsukuba Journal of Mathematics.
  4. Mutually embeddable models of ZFC (with Sy-David Friedman, Yair Hayut, and Farmer Schlutzenberg)
    Ann. Pure Appl. Logic 175 (2024), no. 1, part B, Paper No. 103325, 16 pp.
  5. Weak saturation properties and side conditions
    Ann. Pure Appl. Logic 175 (2024), no. 1, part A, Paper No. 103356, 26 pp.
  6. Strong independence and its spectrum (with Vera Fischer)
    Adv. Math. 430 (2023), Paper No. 109206, 26 pp.
  7. Incompatibility of generic hugeness principles
    Bull. Symb. Log. 29 (2023), no. 2, 157–162.
  8. Compactness versus hugeness at successor cardinals (with Sean Cox)
    J. Math. Log. 23 (2023), no. 1, Paper No. 2250016, 16 pp.
  9. Embeddings into outer models (with Sy-David Friedman)
    J. Symb. Log. 87 (2022), no. 4, 1301–1321.
  10. Integration with filters (with Emanuele Bottazzi)
    J. Log. Anal. 14 (2022), Paper No. 1, 54 pp.
  11. Global Chang's Conjecture and singular cardinals (with Yair Hayut)
    Eur. J. Math. 7 (2021), no. 2, 435-463.
  12. Nonregular ideals
    Fund. Math. 254 (2021), no. 2, 121-131.
  13. Local saturation and square everywhere
    J. Math. Log. 20 (2020), no. 3, 2050019, 33 pp.
  14. On a strengthening of Jonssonness for ℵω
    Math. Log. Quart. 66 (2020), no. 2, 235-238.
  15. Generic large cardinals as axioms
    Rev. Symb. Log. 13 (2020), no. 2, 375-387.
  16. More rigid ideals
    Israel J. Math. 233 (2019), no. 1, 225-247.
  17. Strongly proper forcing and some problems of Foreman (with Sean Cox)
    Trans. Amer. Math. Soc. 371 (2019), no. 7, 5039-5068.
  18. Rigid ideals (with Brent Cody)
    Israel J. Math. 224 (2018), no. 1, 343-366.
  19. On the consistency of local and global versions of Chang's Conjecture (with Yair Hayut)
    Trans. Amer. Math. Soc. 370 (2018), no. 4, 2879-2905.
  20. Dense ideals and cardinal arithmetic
    J. Symb. Log. 81 (2016), no. 3, 789-813.
  21. Some mutually inconsistent generic large cardinals
    RIMS Kokyuroku No. 1949 (2015), 24-33.
  22. Coherent forests
    Proc. Amer. Math. Soc. 143 (2015), no. 6, 2705-2717.


Teaching Materials:

Lecture notes on Forcing and Large Cardinals