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Papers

Articles Accepted for Publication (In roughly reverse chronological order)

  1. Narrow systems revisited. Bulletin of the London Mathematical Society. To appear. (pdf)
  2. Two-cardinal derived topologies, indescribability and Ramseyness. (with Brent Cody and Jing Zhang) The Journal of Symbolic Logic. To appear. (pdf)
  3. Guessing models, trees, and cardinal arithmetic. (with Šárka Stejskalová) Israel Journal of Mathematics. To appear. (pdf)
  4. Polish space partition principles and the Halpern-Läuchli theorem. (with Andy Zucker) The Journal of Symbolic Logic. To appear. (pdf)
  5. Strong tree properties, Kurepa trees, and guessing models. (with Šárka Stejskalová) Monatshefte für Mathematik. 203:111–148, 2024. (pdf)
  6. Indestructibility of some compactness principles over models of PFA. (with Radek Honzik and Šárka Stejskalová) Annals of Pure and Applied Logic. 175(1A): 103359, 2024. (pdf)
  7. A Galvin-Hajnal theorem for generalized cardinal characteristics. European Journal of Mathematics. 9(1):12, 2023. (pdf)
  8. A note on highly connected and well-connected Ramsey theory. Fundamenta Mathematicae. 260(2):181–197, 2023. (pdf)
  9. Knaster and friends III: Subadditive colorings. (with Assaf Rinot) The Journal of Symbolic Logic. 88(3):1230–1280, 2023. (pdf)
  10. Higher-dimensional Delta-systems. Order. 40(1):173–197, 2023. (pdf)
  11. Simultaneously vanishing higher derived limits without large cardinals. (with Jeffrey Bergfalk and Michael Hrušák) Journal of Mathematical Logic. 23(1):2250019, 2023. (pdf)
  12. Higher-dimensional highly connected Ramsey theory. RIMS Kôkyûroku. 2198:41–55, 2021. (pdf)
  13. Simultaneously vanishing higher derived limits. (with Jeffrey Bergfalk) Forum of Mathematics, Pi. 9, E4, 2021. (pdf)
  14. Separating diagonal stationary reflection principles. (with Gunter Fuchs) The Journal of Symbolic Logic. 86(1):262–292, 2021. (pdf)
  15. Forcing a \(\square(\kappa)\)-like principle to hold at a weakly compact cardinal. (with Brent Cody and Victoria Gitman). Annals of Pure and Applied Logic. 172(7):102960, 2021. (pdf)
  16. Knaster and friends II: The C-sequence number. (with Assaf Rinot) Journal of Mathematical Logic. 21(1):215002, 2021. (pdf)
  17. Diagonal supercompact Radin forcing. (with Omer Ben-Neria and Spencer Unger) Annals of Pure and Applied Logic. 171(10):102828, 2020. (pdf)
  18. On the growth rate of chromatic numbers of finite subgraphs. Advances in Mathematics. 369:107176, 2020. (pdf)
  19. Extremal triangle-free and odd-cycle-free colourings of uncountable graphs. (with Dániel T. Soukup) Acta Mathematica Hungarica. 163(1), 174--193, 2021. (pdf)
  20. Knaster and friends I: Closed colorings and precalibers. (with Assaf Rinot) Algebra universalis. 79:90, 2018.(pdf)
  21. Squares, ascent paths, and chain conditions. (with Philipp Lücke) The Journal of Symbolic Logic. 83(4):1512–1538, 2018.(pdf)
  22. Partitioning subsets of generalised scattered orders. (with Thilo Weinert) Journal of the Mathematical Society of Japan. 71(1):235–257, 2019. (pdf)
  23. A forcing axiom deciding the generalized Souslin Hypothesis. (with Assaf Rinot) Canadian Journal of Mathematics. 71(2):437–470, 2019. (pdf)
  24. Pseudo-Prikry sequences. Proceedings of the American Mathematical Society. 146:4905–4920, 2018. (pdf)
  25. Reflection on the coloring and chromatic numbers. (with Assaf Rinot) Combinatorica. 39:165, 2019. (pdf)
  26. Simultaneous stationary reflection and square sequences. (with Yair Hayut) Journal of Mathematical Logic. 17(2):1750010, 2017. (pdf)
  27. Squares and narrow systems. The Journal of Symbolic Logic. 82(3):834–859, 2017. (pdf)
  28. Aronszajn trees, square principles, and stationary reflection. Mathematical Logic Quarterly. 63(3–4):265–281, 2017. (pdf)
  29. Bounded stationary reflection II. Annals of Pure and Applied Logic. 168(1):50–71, 2017. (pdf)
  30. Covering properties and square principles. Israel Journal of Mathematics. 220(2):617–648, 2017. (pdf)
  31. The Hanf number for amalgamation of coloring classes. (with Alexei Kolesnikov) The Journal of Symbolic Logic. 81(2):570–583, 2016. (pdf)
  32. Bounded stationary reflection. (with James Cummings) Proceedings of the American Mathematical Society. 144(2):861–873, 2016. (pdf)
  33. Good and bad points in scales. Archive for Mathematical Logic. 53:749–777, 2014. (pdf)
  34. Squares and covering matrices. Annals of Pure and Applied Logic. 165(2):673–694, 2014. (pdf)
  35. Evidence for the microscopic formation of mixed-symmetry states from magnetic moment measurements. (V. Werner et al). Physical Review C. 78, 031301(R), 2008. (link)

Works submitted or in preparation

  1. Squares, ultrafilters and forcing axioms. (with Assaf Rinot and Jing Zhang) — Submitted (pdf)
  2. Whitehead's problem and condensed mathematics. (with Jeffrey Bergfalk and Jan Šaroch) — Submitted (pdf)
  3. Hajnal–Máté graphs, Cohen reals, and disjoint type guessing. (with Dávid Uhrik) — Submitted (pdf)
  4. The Cohomology of the Ordinals I: Basic Theory and Consistency Results. (with Jeffrey Bergfalk) — Submitted (pdf)
  5. Robust reflection principles. — Submitted (pdf)
  6. Shared Risk in n-player Games. (with Timothy Lambie-Hanson) — Submitted

Book Chapters:

  1. In March 2011, I served as the scribe for Menachem Magidor's Appalachian Set Theory Workshop, entitled "On the Strengths and Weaknesses of Weak Squares." The notes now appear as a chapter of the book Appalachian Set Theory, published by Cambridge University Press.  (pdf)

Unpublished Notes

  1. A note on a result of Zhang about monochromatic sumsets of reals. (pdf)
  2. Disjoint type graphs with no short odd cycles. (pdf)
  3. Edge-colorings of infinite complete graphs. (pdf)
  4. Iterations of ω1-Cohen forcing. (pdf)