Preprints

  1. Forcing axioms and definability of the nonstatioanry ideal on omega_1, with Stefan Hoffelner, Ralf Schindler and Liuzhen Wu, to appear in the Journal of Symbolic Logic
    pdf file
  2. Maximal Tukey types, P-ideals and the weak Rudin-Keisler order, with Konstantinos A. Beros, to appear in the Archive for Mathematical Logic
    arXiv
  3. Universally measurable sets may all be Delta^1_2, with Saharon Shelah, to appear in Fundamenta Mathematicae
    pdf file
  4. Unavoidable structures in infinite tournaments, with Alistair Benford and Louis DeBiasio
    pdf file
  5. PFA and the definability of the nonstationary ideal, with Stefan Hoffelner, Ralf Schindler and Liuzhen Wu
    pdf file
  6. A model of the Axiom of Determinacy in which every set of reals is universally Baire, with Grigor Sargsyan and Trevor Wilson
    pdf file
  7. An introduction to AD+
    pdf file
  8. Failures of square in Pmax extensions of Chang models, with Grigor Sargsyan
    pdf file


Notes

  1. Small posets and the continuum, with Matt Foreman
    dvi file
  2. Reals constructible from many countable sets of ordinals
    dvi file pdf file
  3. A theorem of Todorcevic on universal Baireness
    dvi file pdf file
  4. The extender algebra and preserving stationary sets
    dvi file pdf file
  5. Notes on Todorcevic's Erice lectures on forcing with a coherent Suslin tree
    dvi file pdf file
  6. Section 1 of the Appendix to Shelah's Proper and Improper Forcing (on weak diamond), retyped with minor modifications
    dvi file pdf file
  7. WRP*
    dvi file pdf file
  8. Questions regarding precipitous ideals and the omega_1-Chang Model
    dvi file pdf file
  9. Notes on Woodin's suitable extenders
    pdf file
  10. Notes on getting presaturation from collapsing a Woodin cardinal
    pdf file
  11. Six lectures on the stationary tower
    pdf file
  12. On the absoluteness of orbital ω-stability, with Saharon Shelah
    pdf file
  13. Ordering finite sets
    pdf file
  14. Nonmeager universally null sets, with Joerg Brendle
    pdf file
  15. An extendible model with a rigid elementary extension, with Saharon Shelah
    pdf file
  16. Levy-Steinitz for countable sets of series
    pdf file
  17. The number of models of a fixed Scott rank, for a counterexample to the analytic Vaught conjecture, with Saharon Shelah
    pdf file
  18. Turing Determinacy, Countable Choice and Ultrafilters
    pdf file
  19. Wadge Determinacy implies Countable Choice for reals
    pdf file
  20. Two Pmax arguments
    pdf file



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