Publications:
- A club guessing toolbox I
- A cofinality-preserving small forcing may introduce a special Aronszajn tree
- A counterexample related to a theorem of Komjáth and Weiss
- A forcing axiom deciding the generalized Souslin Hypothesis
- A guessing principle from a Souslin tree, with applications to topology
- A microscopic approach to Souslin-tree constructions. Part I
- A microscopic approach to Souslin-tree constructions. Part II
- A model for global compactness
- A new small Dowker space
- A relative of the approachability ideal, diamond and non-saturation
- A remark on Schimmerling’s question
- A Shelah group in ZFC
- A topological reflection principle equivalent to Shelah’s strong hypothesis
- Antichains in partially ordered sets of singular cofinality
- Aspects of singular cofinality
- Chain conditions of products, and weakly compact cardinals
- Chromatic numbers of graphs – large gaps
- Complicated colorings
- Complicated colorings, revisited
- Diamond on Kurepa trees
- Diamond on ladder systems and countably metacompact topological spaces
- Distributive Aronszajn trees
- Fake Reflection
- Full Souslin trees at small cardinals
- Hedetniemi’s conjecture for uncountable graphs
- Higher Souslin trees and the GCH, revisited
- Inclusion modulo nonstationary
- Jensen’s diamond principle and its relatives
- Ketonen’s question and other cardinal sins
- Knaster and friends I: Closed colorings and precalibers
- Knaster and friends II: The C-sequence number
- Knaster and friends III: Subadditive colorings
- May the successor of a singular cardinal be Jonsson?
- More notions of forcing add a Souslin tree
- On guessing generalized clubs at the successors of regulars
- On the consistency strength of the Milner-Sauer conjecture
- On the ideal J[kappa]
- On topological spaces of singular density and minimal weight
- Openly generated Boolean algebras and the Fodor-type reflection principle
- Ordinal definable subsets of singular cardinals
- Partitioning a reflecting stationary set
- Proxy principles in combinatorial set theory
- Putting a diamond inside the square
- Ramsey theory over partitions I: Positive Ramsey relations from forcing axioms
- Ramsey theory over partitions II: Negative Ramsey relations and pump-up theorems
- Ramsey theory over partitions III: Strongly Luzin sets and partition relations
- Rectangular square-bracket operation for successor of regular cardinals
- Reduced powers of Souslin trees
- Reflection on the coloring and chromatic numbers
- Same Graph, Different Universe
- Sigma-Prikry forcing I: The Axioms
- Sigma-Prikry forcing II: Iteration Scheme
- Sigma-Prikry forcing III: Down to Aleph_omega
- Souslin trees at successors of regular cardinals
- Square with built-in diamond-plus
- Squares, ultrafilters and forcing axioms
- Strong failures of higher analogs of Hindman’s Theorem
- Strongest transformations
- Sums of triples in Abelian groups
- The eightfold way
- The failure of diamond on a reflecting stationary set
- The Ostaszewski square, and homogeneous Souslin trees
- The search for diamonds
- The vanishing levels of a tree
- Transformations of the transfinite plane
- Transforming rectangles into squares, with applications to strong colorings
- Walks on uncountable ordinals and non-structure theorems for higher Aronszajn lines
- Was Ulam right? I: Basic theory and subnormal ideals
- Was Ulam right? II: Small width and general ideals
- Weak square and stationary reflection
Selected talks:
- 120 Years of Choice, July 2024
- Perspectives on Set Theory, November 2023
- Gdańsk Logic Conference, May 2023
- A series of lectures on Club_AD, February–March 2023
- Winter School in Abstract Analysis, January 2023
- MFO workshop in Set Theory, January 2022
- MFO workshop in Set Theory, April 2020
- The 15th International Workshop on Set Theory in Luminy, September 2019
- 50 Years of Set Theory in Toronto, May 2019
- 4th Arctic Set Theory Workshop, January 2019
- 11th Young Set Theory Workshop, June 2018
- The 14th International Workshop on Set Theory in Luminy, October 2017
- 6th European Set Theory Conference, July 2017
- ASL North American Meeting, March 2017
- MFO workshop in Set Theory, February 2017
- Set Theory and its Applications in Topology, September 2016
- P.O.I. Workshop in pure and descriptive set theory, September 2015
- The Apter-Gitik birthday conference, May 2015
- Forcing and its Applications Retrospective Workshop, April 2015
- INFTY Final Conference, March 2014
- MFO workshop in Set Theory, January 2014
- Mathematics Colloquium, Bar-Ilan University, November 2013
- Set Theory Programme on Large Cardinals and Forcing, September 2013
- Infinite Combinatorics Seminar, Haifa University, June, 2012
- ASL North American Meeting, March 2012
- CMS Winter Meeting, December 2011
- Young Researchers in Set Theory, March 2011
- The 11th International Workshop on Set Theory in Luminy
- Logic Colloquium 2010
- Logic Colloquium 2009
- ESI Workshop on Large Cardinals and Descriptive Set Theory
- 18th Boise Extravaganza in Set Theory
- Singular Cardinal Combinatorics and Inner Model Theory, March 2007
- Workshop on Set Theory and its Applications, February 2007
- Annual conference of the IMU, May 2006
- Logic in Hungary, August 2005
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