Monroe Eskew
Postdoctoral Researcher
Kurt Gödel Research Center
University of Vienna






CV

PhD Thesis


Papers:

  1. Weak saturation properties and side conditions. Submitted.
  2. Mutually embeddable models of ZFC, with Sy-David Friedman, Yair Hayut, and Farmer Schlutzenberg. Submitted.
  3. Integration with filters, with Emanuele Bottazzi. To appear in the Journal of Logic and Analysis.
  4. Strong independence and its spectrum, with Vera Fischer. Submitted.
  5. Incompatibility of generic hugeness principles. To appear in the Bullletin of Symbolic Logic.
  6. Compactness versus hugeness at successor cardinals, with Sean Cox. To appear in the Journal of Mathematical Logic.
  7. Embeddings into outer models, with Sy-David Friedman. To appear in the Journal of Symbolic Logic.
  8. Nonregular ideals. Fund. Math. 254 (2021), no. 2, 121-131.
  9. Global Chang's Conjecture and singular cardinals, with Yair Hayut. Eur. J. Math. 7 (2021), no. 2, 435-463.
  10. On a strengthening of Jonssonness for aleph_omega. Math. Log. Quart. 66 (2020), no. 2, 235-238.
  11. Local saturation and square everywhere. J. Math. Log. 20 (2020), no. 3, 2050019, 33 pp.
  12. Generic large cardinals as axioms. Rev. Symb. Log. 13 (2020), no. 2, 375-387.
  13. More rigid ideals. Israel J. Math. 233 (2019), no. 1, 225-247.
  14. Strongly proper forcing and some problems of Foreman, with Sean Cox. Trans. Amer. Math. Soc. 371 (2019), no. 7, 5039-5068.
  15. Rigid ideals, with Brent Cody. Israel J. Math. 224 (2018), no. 1, 343-366.
  16. 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.
  17. Dense ideals and cardinal arithmetic. J. Symb. Log. 81 (2016), no. 3, 789-813.
  18. Some mutually inconsistent generic large cardinals. RIMS Kokyuroku No. 1949 (2015), 24-33.
  19. Coherent forests. Proc. Amer. Math. Soc. 143 (2015), no. 6, 2705-2717.


Teaching Materials:

Lecture notes on Forcing and Large Cardinals