Monroe Eskew
Postdoctoral Researcher
Kurt Goedel Research Center
University of Vienna






CV

PhD Thesis


Papers:

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


Teaching Materials:

Lecture notes on Forcing and Large Cardinals