My Papers

  Here are links to various papers. Since 1997 I have been supported by grants from the National Science Foundation. My papers since that date have been based upon work supported by grants 9703945, 0070549, and 0400982.

1. A model in which GCH holds at successors but fails at limits.
   Transactions of the American Mathematical Society 329 (1992) 1-39.
   DVI file , PostScript file .
2. Strong ultrapowers and long core models.
   Journal of Symbolic Logic 58 (1993) 240-248.
   DVI file , PostScript file .
3. Possible behaviours for the Mitchell ordering.
   Annals of Pure and Applied Logic 65 (1993) 107-123.
   DVI file , PostScript file .
4. Possible behaviours for the Mitchell ordering II.
   Journal of Symbolic Logic 59 (1994) 1196-1209.
   DVI file , PostScript file .
5. Coherent sequences versus Radin sequences.
   Annals of Pure and Applied Logic 70 (1994) 223-241.
   DVI file , PostScript file .
6. A model in which every Boolean algebra has many subalgebras (with Saharon Shelah)
   Journal of Symbolic Logic 60 (1995) 992-1004.
   DVI file , PostScript file .
7. Cardinal invariants above the continuum (with Saharon Shelah).
   Annals of Pure and Applied Logic 75 (1995) 251-268.
   DVI file , PostScript file .
8. A consistency result on weak reflection (with Mirna Dzamonja and Saharon Shelah).
   Fundamenta Mathematicae 148 (1995) 91-100 .
   DVI file , PostScript file .
9. Collapsing successors of singulars.
   Proceedings of the American Mathematical Society 125 (1997) 2703-2709.
   DVI file , PostScript file .
10. Souslin trees which are hard to specialise.
    Proceedings of the American Mathematical Society 125 (1997) 2435-2441.
    DVI file , PostScript file .
11. Some independence results on reflection (with Saharon Shelah).
    Journal of the London Mathematical Society 59 (1999) 37-49.
    DVI file , PostScript file .
12. The tree property (with Matthew Foreman).
    Advances in Mathematics 133 (1998) 1-32.
    DVI file , PostScript file .
13. Large cardinal properties of small cardinals (survey)
    Proceedings of the 1996 Barcelona Set Theory Meeting, Kluwer (1996), 23-39.
    DVI file , PostScript file .
14. Slides for my talks on Singular Cardinals at the 1998 Luminy Workshop. Provisional version and probably full of mistakes.
    Caveat Lector!
    DVI file , PostScript file .
15. Scales, squares and reflection (with Matthew Foreman and Menachem Magidor)
    Journal of Mathematical Logic 1 (2001), no. 1, 35--98.
    DVI file , PostScript file .
16. Canonical structure in the universe of set theory I (with Matthew Foreman and Menachem Magidor)
    Annals of Pure and Applied Logic 129 (2004), no. 1-3, 211--243.
    DVI file , PostScript file , PDF file .
17. Canonical structure in the universe of set theory II (with Matthew Foreman and Menachem Magidor)
    To appear in the Annals of Pure and Applied Logic.
    DVI file , PostScript file , PDF file .
18. The non-compactness of square (with Matthew Foreman and Menachem Magidor)
    Journal of Symbolic Logic 68 (2003), no. 2, 637--643.
    DVI file , PostScript file , PDF file .
19. Indexed squares (with Ernest Schimmerling)
    Israel Journal of Mathematics 131 (2002), 61--99.
    DVI file , PostScript file , PDF file .
20. A global version of a theorem of Ben-David and Magidor (with Arthur Apter)
    Annals of Pure and Applied Logic 102 (2000), no. 3, 199--222.
    DVI file , PostScript file .
21. Identity crises and strong compactness (with Arthur Apter)
    Journal of Symbolic Logic 65 (2000), no. 4, 1895--1910.
    DVI file , PostScript file .
22. Identity crises II: strong cardinals (with Arthur Apter)
    Archive for Mathematical Logic 40 (2001), no. 1, 25--38.
    DVI file , PostScript file .
23. Blowing up the power set of the least measurable (with Arthur Apter)
    Journal of Symbolic Logic 67 (2002), no. 3, 915--923.
    DVI file , PostScript file , PDF file .
24. Slides for my talks on ZFC combinatorics at the 2004 Banff Workshop. Provisional version of May 2, 2004..
    Caveat Lector!
    PS file , PDF file .
25. Preliminary version of some notes on Singular Cardinal Combinatorics, based on talks at the 2004 Banff Workshop.
    Comments and corrections are very welcome.
    PS file , PDF file .
26. Diamond and antichains (with Ernest Schimmerling)
    To appear in the Archive for Mathematical Logic.
    DVI file , PostScript file , PDF file .