Papers
Articles Accepted for Publication (In roughly reverse chronological order)
- Narrow systems revisited. Bulletin of the London Mathematical Society. To appear.
(pdf)
- Two-cardinal derived topologies, indescribability and Ramseyness. (with Brent Cody and Jing Zhang)
The Journal of Symbolic Logic. To appear.
(pdf)
- Guessing models, trees, and cardinal arithmetic. (with Šárka Stejskalová)
Israel Journal of Mathematics. To appear.
(pdf)
- Polish space partition principles and the Halpern-Läuchli theorem. (with Andy Zucker)
The Journal of Symbolic Logic. To appear.
(pdf)
- Strong tree properties, Kurepa trees, and guessing models. (with Šárka Stejskalová)
Monatshefte für Mathematik. 203:111–148, 2024.
(pdf)
- 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)
- A Galvin-Hajnal theorem for generalized cardinal characteristics.
European Journal of Mathematics. 9(1):12, 2023.
(pdf)
- A note on highly connected and well-connected Ramsey theory.
Fundamenta Mathematicae. 260(2):181–197, 2023.
(pdf)
- Knaster and friends III: Subadditive colorings. (with Assaf Rinot)
The Journal of Symbolic Logic. 88(3):1230–1280, 2023.
(pdf)
- Higher-dimensional Delta-systems. Order. 40(1):173–197, 2023.
(pdf)
- Simultaneously vanishing higher derived limits without large cardinals.
(with Jeffrey Bergfalk and Michael Hrušák) Journal of Mathematical Logic.
23(1):2250019, 2023.
(pdf)
- Higher-dimensional highly connected Ramsey theory. RIMS Kôkyûroku.
2198:41–55, 2021.
(pdf)
- Simultaneously vanishing higher derived limits. (with Jeffrey Bergfalk)
Forum of Mathematics, Pi. 9, E4, 2021. (pdf)
- Separating diagonal stationary reflection principles. (with Gunter Fuchs)
The Journal of Symbolic Logic. 86(1):262–292, 2021.
(pdf)
- 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)
- Knaster and friends II: The C-sequence number. (with Assaf Rinot)
Journal of Mathematical Logic. 21(1):215002, 2021.
(pdf)
- Diagonal supercompact Radin forcing. (with Omer Ben-Neria and Spencer Unger)
Annals of Pure and Applied Logic. 171(10):102828, 2020.
(pdf)
- On the growth rate of chromatic numbers of finite subgraphs.
Advances in Mathematics. 369:107176, 2020.
(pdf)
- Extremal triangle-free and odd-cycle-free colourings of uncountable graphs.
(with Dániel T. Soukup) Acta Mathematica Hungarica. 163(1), 174--193, 2021.
(pdf)
- Knaster and friends I: Closed colorings and precalibers. (with Assaf Rinot)
Algebra universalis. 79:90, 2018.(pdf)
- Squares, ascent paths, and chain conditions. (with Philipp Lücke)
The Journal of Symbolic Logic. 83(4):1512–1538, 2018.(pdf)
- Partitioning subsets of generalised scattered orders. (with Thilo Weinert)
Journal of the Mathematical Society of Japan. 71(1):235–257, 2019.
(pdf)
- A forcing axiom deciding the generalized Souslin Hypothesis. (with Assaf Rinot)
Canadian Journal of Mathematics. 71(2):437–470, 2019.
(pdf)
- Pseudo-Prikry sequences. Proceedings of the American Mathematical Society.
146:4905–4920, 2018. (pdf)
- Reflection on the coloring and chromatic numbers. (with Assaf Rinot)
Combinatorica. 39:165, 2019. (pdf)
- Simultaneous stationary reflection and square sequences. (with Yair Hayut)
Journal of Mathematical Logic. 17(2):1750010, 2017. (pdf)
- Squares and narrow systems. The Journal of Symbolic Logic.
82(3):834–859, 2017. (pdf)
- Aronszajn trees, square principles, and stationary reflection.
Mathematical Logic Quarterly. 63(3–4):265–281, 2017.
(pdf)
- Bounded stationary reflection II. Annals of Pure and Applied Logic.
168(1):50–71, 2017. (pdf)
- Covering properties and square principles. Israel Journal of Mathematics.
220(2):617–648, 2017. (pdf)
- The Hanf number for amalgamation of coloring classes. (with Alexei Kolesnikov)
The Journal of Symbolic Logic. 81(2):570–583, 2016.
(pdf)
- Bounded stationary reflection. (with James Cummings)
Proceedings of the American Mathematical Society. 144(2):861–873, 2016.
(pdf)
- Good and bad points in scales. Archive for Mathematical Logic.
53:749–777, 2014. (pdf)
- Squares and covering matrices. Annals of Pure and Applied Logic.
165(2):673–694, 2014. (pdf)
- 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
- Squares, ultrafilters and forcing axioms. (with Assaf Rinot and Jing Zhang)
— Submitted (pdf)
- Whitehead's problem and condensed mathematics. (with Jeffrey Bergfalk and Jan Šaroch)
— Submitted (pdf)
- Hajnal–Máté graphs, Cohen reals, and disjoint type guessing.
(with Dávid Uhrik) — Submitted (pdf)
- The Cohomology of the Ordinals I: Basic Theory and Consistency Results. (with Jeffrey Bergfalk)
— Submitted (pdf)
- Robust reflection principles. — Submitted
(pdf)
- Shared Risk in n-player Games. (with Timothy Lambie-Hanson) — Submitted
Book Chapters:
- 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
- A note on a result of Zhang about monochromatic sumsets of reals.
(pdf)
- Disjoint type graphs with no short odd cycles.
(pdf)
- Edge-colorings of infinite complete graphs.
(pdf)
- Iterations of ω1-Cohen forcing.
(pdf)